{"id":508,"date":"2021-02-02T17:50:13","date_gmt":"2021-02-02T22:50:13","guid":{"rendered":"https:\/\/opentextbc.ca\/autocad2d\/chapter\/drawing-lines-using-polar-coordinates\/"},"modified":"2021-11-03T16:42:42","modified_gmt":"2021-11-03T20:42:42","slug":"drawing-lines-using-polar-coordinates","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/autocad2d\/chapter\/drawing-lines-using-polar-coordinates\/","title":{"raw":"Module 10: Drawing Lines Using Polar Coordinates","rendered":"Module 10: Drawing Lines Using Polar Coordinates"},"content":{"raw":"
\n

Learning Outcomes<\/p>\n\n<\/header>\n

\n\nWhen you have completed this module, you will be able to:\n
    \n \t
  1. Describe the geometry of angles.<\/li>\n \t
  2. Describe the Polar Coordinate System.<\/li>\n \t
  3. Apply the LINE command to draw lines using the Polar Coordinate System.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n

    Geometry Lesson: Angles<\/h1>\nAn angle<\/span> <\/em>is formed by two intersecting lines. When measuring an angle in a drawing, AutoCAD defines zero degrees at 3:00 o'clock with the positive angle in the counterclockwise direction and a negative angle in the clockwise direction. Study angle geometry in Figure 10-1, 10-2, and 10-3. These principles are used extensively to construct drawings in AutoCAD.\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"500\"]\"\" Figure 10-1 Angles - Part 1[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"500\"]\"\" Figure 10-1 Angles - Part 2[\/caption]\n\nAll angles are express in either positive or negative degrees. AutoCAD will accept either. Since positive is the default, the positive sign does not have to precede the number but a negative angle must be preceded by the negative sign.\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"500\"]\"\" Figure 10-3 Angles - Part 3[\/caption]\n

    WORKALONG: Working With Angles<\/h1>\n

    Step 1<\/h2>\nStudy Figure 10-1, 10-2, and 10-3. Using what you learned and without drawing in AutoCAD, find the answers for the angles A to M. After you find a solution to all of the angles, check your answers with the solutions at the end of the module.\n\n \n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"223\"]\"\" Figure Step 1A[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"375\"]\"\" Figure Step 1B[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"490\"]\"\" Figure Step 1C[\/caption]\n\n
    \n\nAUTHOR'S COMMENTS: <\/strong>It is sometime easier to sketch the figure and calculate the angle using paper and pencil.\n\n<\/div>\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"370\"]\"\" Figure Step 1D[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"600\"]\"\" Figure Step 1E[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"259\"]\"\" Figure Step 1F[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"349\"]\"\" Figure Step 1G[\/caption]\n

    The Polar Coordinate System<\/h1>\nThe Polar Coordinate System <\/em><\/span>is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. In AutoCAD, you use it when you are given a distance and an angle from a known coordinate location. All angles are measured with 0 degrees at 3:00 o'clock. The angles are positive in the counterclockwise direction and negative in the clockwise direction. See Figure 10-4.\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"600\"]\"\" Figure 10-4 The Polar Coordinate System[\/caption]\n\nA polar coordinate is entered into AutoCAD as a distance, a less than symbol, and an angle. In all cases, the @ symbol must precede the distance. i.e.\n\n@6<45\n\nmeans ' from the last point, go 6 units at an angle of 45 degrees, positive, starting at 3 o'clock '. AutoCAD always assumes positive as default, therefore, the positive sign can be omitted. i.e.\n\n@5<-60\n

    WORKALONG: Using the Polar Coordinate System - Part 1<\/h1>\nWorkalong and complete the following steps to solve the angles and polar coordinates. If necessary, use paper and pencil. Do not use AutoCAD.\n

    Step 1<\/h2>\nStudy the figure and solutions for numbers 1 to 6. Solve the answers for numbers 7 to 11. (Figure Step 1)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"537\"]\"\" Figure Step 1[\/caption]\n\n
    \n\nAUTHOR'S COMMENTS: <\/strong>The answers are at the end of the module. Do not look at the answers until you think you have correctly solved each one.\n\n<\/div>\n

    Object A Solution:<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
    1. Find the polar coordinate A TO B:<\/td>\n@2<0<\/td>\n<\/tr>\n
    2. Calculate the first angle:<\/td>\n180 - 150 = 30 degrees<\/td>\n<\/tr>\n
    3. Find the polar coordinate B TO C:<\/td>\n@2<30<\/td>\n<\/tr>\n
    4. Copy the 30 degree angle to the next corner.<\/td>\n<\/td>\n<\/tr>\n
    5. Calculate the second angle:<\/td>\n180 - 110 = 70 degrees<\/td>\n<\/tr>\n
    6. Add the two angles:<\/td>\n30 + 70 = 100<\/td>\n<\/tr>\n
    7. Find the polar coordinate C TO D:<\/td>\n@ <<\/td>\n<\/tr>\n
    8. Copy the angle 100 to the next corner.<\/td>\n<\/td>\n<\/tr>\n
    9. Calculate angle DD:<\/td>\nDD =<\/td>\n<\/tr>\n
    10. Find angle EE:<\/td>\nEE =<\/td>\n<\/tr>\n
    11. Find the polar coordinate D TO E:<\/td>\n@ <<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    Step 2<\/h2>\nStudy the figure and find the solutions for numbers 1 to 11. (Figure Step 3)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"621\"]\"\" Figure Step 2[\/caption]\n\n
    \n\nAUTHOR'S COMMENTS: <\/strong>The answers are at the end of the module. Do not look at the answers until you think you have correctly solved each number.\n\n<\/div>\n

    Object B Solution:<\/span><\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
    1. Find polar coordinate A TO B<\/td>\n@ <<\/td>\n<\/tr>\n
    2. Calculate angle AA:<\/td>\n<\/td>\n<\/tr>\n
    3. Find polar coordinate B TO C<\/td>\n@ <<\/td>\n<\/tr>\n
    4. Copy angle AA to the next corner<\/td>\n<\/td>\n<\/tr>\n
    5. Calculate angle BB<\/td>\n<\/td>\n<\/tr>\n
    6. Find angle CC<\/td>\n<\/td>\n<\/tr>\n
    7. Find polar coordinate C TO D<\/td>\n@ <<\/td>\n<\/tr>\n
    8. Copy angle CC to the next corner<\/td>\n<\/td>\n<\/tr>\n
    9. Calculate angle DD<\/td>\n<\/td>\n<\/tr>\n
    10. Find angle EE<\/td>\n<\/td>\n<\/tr>\n
    11. Find polar coordinate D TO E<\/td>\n@ <<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    WORKALONG: Using the Polar Coordinate System - Part 2<\/h1>\n

    Step 1<\/h2>\nStart a new drawing using the template: 2D English<\/span>.\n

    Step 2<\/h2>\nSave and name the drawing: AutoCAD 2D Workalong 10-1.<\/span>\n

    Step 3<\/h2>\nCreate layers: Object<\/span> and Construction<\/span>. (Figure Step 3)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"666\"]\"\" Figure Step 3[\/caption]\n

    Step 4<\/h2>\nSet layer: Object<\/span> as the current layer and enter the LINE command, as shown below, to draw the object. (Figure Step 4A)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"357\"]\"\" Figure Step 4A[\/caption]\n\n\"\"\n\nCommand: L<\/strong>\n\nSpecify first point: 2.5,4.5<\/strong>\n\n(Start with an absolute Cartesian Coordinate.)<\/em><\/span>\n\nSpecify next point or [Undo]: @3<0<\/strong>\n\n(A to B is a horizontal line which is zero degrees.)<\/em><\/span>\n\nSpecify next point or [Undo]: @2<90<\/strong>\n\n(B to C is a vertical line at 90 degrees.)<\/em><\/span>\n\n(Figure Step 4B)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"606\"]\"\" Figure Step 4B[\/caption]\n\n
    \n\nAUTHOR'S COMMENTS: <\/strong>Refer to the dimensioned drawing in Figure Step 4 when you construct this drawing and try to understand the polar coordinates that you are entering.\n\n<\/div>\nSpecify next point or [Close\/Undo]: @2<45<\/strong>\n\n(C to D is 45 degrees positive.)<\/em><\/span>\n\n(Figure Step 4C)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"448\"]\"\" Figure Step 4C[\/caption]\n\nSpecify next point or [Close\/Undo]: @1.5<100<\/strong>\n\n(D to E)<\/em><\/span>\n\n(Figure Step 4D)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"530\"]\"\" Figure Step 4D[\/caption]\n\nSpecify next point or\n\n[Close\/Undo]: @1<180<\/strong>\n\n(E to F is a horizontal line at 180 degrees.)<\/em><\/span>\n\n(Figure Step 4E)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"424\"]\"\" Figure Step 4E[\/caption]\n\n
    MUST KNOW:<\/strong> AutoCAD measures angles starting with 0 degrees at 3:00 o'clock. Positive angles are measured in the counterclockwise direction and negative angles are measured in the clockwise direction. \"\"<\/div>\nSpecify next point or [Close\/Undo]: @2<225<\/strong>\n\n(F to G)<\/em><\/span>\n\n(Figure Step 4F)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"488\"]\"\" Figure Step 4F[\/caption]\n\nSpecify next point or [Close\/Undo]: @1.5<165<\/strong>\n\n(G to H)<\/em><\/span>\n\nSpecify next point or [Close\/Undo]: C<\/strong>\n\n(Use Close for H to A)<\/em><\/span>\n\nSpecify next point or [Close\/Undo]:\n\nCommand:\n\n(Figure Step 4G)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"507\"]\"\" Figure Step 4G[\/caption]\n

    Step 5<\/h2>\nYour completed drawing should match the figure. (Figure Step 5)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"365\"]\"\" Figure Step 5[\/caption]\n

    Step 6<\/h2>\nSave and close the drawing.\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"653\"]\"\" Figure 10-5 Object Snap Mode - Intersection[\/caption]\n

    WORKALONG: Using the Object Snap Mode - Intersection<\/h1>\n

    Step 1<\/h2>\nStart a new drawing using the template: 2D English<\/span>.\n

    Step 2<\/h2>\nSave and name the drawing: AutoCAD 2D Workalong 10-2<\/span>.\n

    Step 3<\/h2>\nCreate the layers: Object<\/span> and Construction<\/span>. Set layer: Construction<\/span> as the current layer. (Figure Step 3)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"666\"]\"\" Figure Step 3[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"500\"]\"\" Figure Step 4A[\/caption]\n

    Step 4<\/h2>\nRefer to the figures and enter the LINE command, as shown below, to draw four construction lines. (Figure Step 4A and 4B)\n\nCommand: L<\/strong>\n\nLINE Specify first point: 2,5<\/strong>\n\nSpecify next point or [Undo]: @4<0 <\/strong>\n\nSpecify next point or [Undo]: @2<90 <\/strong>\n\nSpecify next point or [Close\/Undo]: @1<90<\/strong>\n\nSpecify next point or [Close\/Undo]: @3<180 <\/strong>\n\nSpecify next point or [Close\/Undo]: @1<180 <\/strong>\n\nSpecify next point or [Close\/Undo]: @1<270 <\/strong>\n\nSpecify next point or [Close\/Undo]: C<\/strong>\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"213\"]\"\" Figure Step 4B[\/caption]\n\n
    \n\nAUTHOR'S COMMENTS: <\/strong>Note how I drew the rectangle by drawing lines from endpoint to endpoint of the object's geometry. This workalong is teaching you a drawing technique that will help you improve your drawing speed.\n\n<\/div>\n

    Step 5<\/h2>\nEnsure that osnap is enable and then draw an additional construction line by snapping to the endpoint of the existing line and 1 unit in the -X direction. (Figure Step 5A and 5B)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"302\"]\"\" Figure Step 5B[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"213\"]\"\" Figure Step 5B[\/caption]\n\n
    \n\nAUTHOR'S COMMENTS: <\/strong>As I commented in Step 4, I drew the rectangle by drawing lines from endpoint to endpoint of the object's geometry. In this step, I can now snap to endpoint of line that is 2 inches long. Even though you cannot see the endpoint of the line, osnap will find it easily by move the graphic cursor over the line.\n\n<\/div>\n

    Step 6<\/h2>\nSet layer: Object<\/span> as the current layer. Enter the LINE command and enable osnap. Draw the perimeter lines of the object by snapping to the endpoints of the construction lines. (Figure Step 6A, 6B, 6C, 6D, 6E, 6F, 6G, 6H, and 6J)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"242\"]\"\" Figure Step 6A[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"312\"]\"\" Figure Step 6B[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"332\"]\"\" Figure Step 6C[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"265\"]\"\" Figure Step 6D[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"308\"]\"\" Figure Step 6E[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"248\"]\"\" Figure Step 6F[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"257\"]\"\" Figure Step 6G[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"258\"]\"\" Figure Step 6H[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"215\"]\"\" Figure Step 6J[\/caption]\n

    Step 7<\/h2>\nOn layer: Construction<\/span> , draw two construction lines by snapping to the endpoint of the existing lines as shown in the figure. (Figure Step 7)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"215\"]\"\" Figure Step 7[\/caption]\n

    Step 8<\/h2>\nEnter the CIRCLE command and draw a 1 diameter circle locating its center point by\n\nsnapping to intersection of the two construction lines you drew in Step 7. (Figure Step 8A and 8B)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"249\"]\"\" Figure Step 8A[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"215\"]\"\" Figure Step 8B[\/caption]\n

    Step 9<\/h2>\nFreeze layer: Construction<\/span>. (Figure Step 9)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"216\"]\"\" Figure Step 9[\/caption]\n

    Step 10<\/h2>\nSave and close the drawing.\n

    Key Principles<\/h1>\n
    \n

    Key Principles in Module 10<\/p>\n\n<\/header>\n

    \n
      \n \t
    1. The Polar Coordinate System is used to draw lines using a distance and an angle from a known coordinate location.<\/li>\n \t
    2. By default, an AutoCAD polar coordinate measures angles starting 0 degrees at 3:00 o'clock.<\/li>\n \t
    3. In a polar coordinate, positive angles are measured counterclockwise and negative angles are measured clockwise.<\/li>\n \t
    4. A polar coordinate is entered into AutoCAD as a distance, a less than symbol, and an angle. In all cases, the @ symbol must precede the distance.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n

      Lab Exercise 10-1<\/h1>\nTime allowed: 30 minutes.\n\n\n\n\n
      Drawing Name<\/th>\nTemplate<\/th>\nUnits<\/th>\n<\/tr>\n
      AutoCAD 2D Lab 10-1<\/td>\n2D English<\/td>\nInches<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n
      Layering Scheme<\/span><\/caption>\n
      Layer Name<\/th>\nObjects on Layer<\/th>\nColor<\/th>\n<\/tr>\n
      Construction<\/td>\nConstruction objects<\/td>\n253<\/td>\n<\/tr>\n
      Object<\/td>\nLines<\/td>\nRed<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Step 1<\/h2>\nStart a new drawing using the template shown above.\n

      Step 2<\/h2>\nSetup the layers using the Layering Scheme.\n

      Step 3<\/h2>\nDraw the object shown in the figures using the layering scheme. (Figure Step 3A and 3B)\n\n\"\"\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"152\"]\"\" Figure Step 3A[\/caption]\n\n \n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"176\"]\"\" Fig Step 3B
      Completed Drawing[\/caption]\n

      Step 4<\/h2>\nEnter the UNITS command. In the Units dialogue box, set the Insertion Units to Inches.\n

      Step 5<\/h2>\nCheck your drawing with the key. The key name is the same as the drawing name.\n

      Step 6<\/h2>\nIf you have any errors, turn layer: Key<\/span> off and correct your drawing. If you cannot correct it, start it over from the beginning.\n

      Step 7<\/h2>\nTurn layer: Key<\/span> on to check your drawing. If it is still inaccurate, go back to Step 6.\n

      Step 8<\/h2>\nTurn layer: Key<\/span> off.\n

      Step 9<\/h2>\nSave and close the drawing.\n
      AUTHOR'S CONSTRUCTION HINTS:<\/strong> Do your best to complete the lab exercise drawing without using the following hints. If you get stuck and can not complete it on your own, use the following hints to help you.<\/div>\n

      Hint1<\/h2>\nSee the figure for the polar coordinates. (Figure Hint 1)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"482\"]\"\" Figure Hint 1[\/caption]\n

      Hint 2<\/h2>\nDraw the line from J to I by snapping to the endpoints. (Figure Hint 2)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"375\"]\"\" Figure Hint 2[\/caption]\n

      Hint 3<\/h2>\nThe solutions to the angles at G and F are shown in the figures. (Figure Hint 3A and 3B)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"388\"]\"\" Figure Hint 3A[\/caption]\n\n \n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"410\"]\"\" Figure Hint 3B[\/caption]\n

      Lab Exercise 10-2<\/h1>\nTime allowed: 40 minutes.\n\n\n\n\n
      Drawing Name<\/th>\nTemplate<\/th>\nUnits<\/th>\n<\/tr>\n
      AutoCAD 2D Lab 10-2<\/td>\n2D Metric<\/td>\nMillimeters<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n
      Layering Scheme<\/span><\/caption>\n
      Layer Name<\/th>\nObjects on Layer<\/th>\nColor<\/th>\n<\/tr>\n
      Construction<\/td>\nConstruction objects<\/td>\n253<\/td>\n<\/tr>\n
      Object<\/td>\nLines<\/td>\nRed<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Step 1<\/h2>\nStart a new drawing using the template shown above.\n

      Step 2<\/h2>\nSetup the layers using the Layering Scheme.\n

      Step 3<\/h2>\nDraw the object shown in the figures using the layering scheme. (Figure Step 3A and 3B)\n\n\"\"\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"479\"]\"\" Figure Step 3A[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"202\"]\"\" Figure Step 3B
      Completed Drawing[\/caption]\n

      Step 4<\/h2>\nEnter the UNITS command. In the Units dialogue box, set the Insertion Units to Millimeters.\n

      Step 5<\/h2>\nCheck your drawing with the key. The key name is the same as the drawing name.\n

      Step 6<\/h2>\nIf you have any errors, turn layer: Key<\/span> off and correct your drawing. If you cannot correct it, start it over from the beginning.\n

      Step 9<\/h2>\nSave and close the drawing.\n
      AUTHOR'S CONSTRUCTION HINTS: <\/strong>Do your best to complete the lab exercise drawing without using the following hint. If you get stuck and cannot complete it on your own, use the following hint to help you.<\/div>\n

      Hint 1<\/h2>\nSee the figure for the polar coordinates. (Figure Hint 1)\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"600\"]\"\" Figure Hint 1[\/caption]\n

      Lab Exercise 10-3<\/h1>\nTime allowed: 40 minutes.\n\n\n\n\n
      Drawing Name<\/th>\nTemplate<\/th>\nUnits<\/th>\n<\/tr>\n
      AutoCAD 2D Lab 10-3<\/td>\n2D Metric<\/td>\nMillimeters<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
      Layering Scheme<\/caption>\n
      Layer Name<\/th>\nObjects on Layer<\/th>\nColor<\/th>\n<\/tr>\n
      Angle Bracket<\/td>\nAll drawing objects<\/td>\nBlue<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Step 1<\/h2>\nDraw the front view of the angle bracket shown in the dimensioned drawing using the layering scheme. (Figure Step 1A, 1B, and 1C)\n

      Step 2<\/h2>\nAll objects should be on layer Angle Bracket and display blue.\n\n \n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"241\"]\"\" Figure Step 1A
      Angle Bracket[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"600\"]\"\" Figure Step 1B[\/caption]\n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"396\"]\"\" Figure Step 1C
      Completed Drawing[\/caption]\n

      Step 3<\/h2>\nSet the insertion units and check your drawing with the key. Turn layer: Key off and freeze layer: Construction<\/span>.\n

      Step 4<\/h2>\nSave and close the drawing.\n
      AUTHOR'S CONSTRUCTION HINTS:<\/strong> Do your best to complete the lab exercise drawing without using the following hints.<\/div>\n

      Hint 1<\/h2>\nThis figure shows my construction drawing objects. Your construction drawing objects do not have to match as there are may ways to construct an object. I use circles rather an arcs, whenever possible, as they are easier to construct. (Figure Hint 1)\n\n \n\n[caption id=\"attachment_507\" align=\"aligncenter\" width=\"346\"]\"\" Figure Hint 1[\/caption]\n\n\"\"Angle A = 40 degrees\n\nAngle B = 125 degrees\n\nAngle C = 150 degrees\n\nAngle D = 30 degrees\n\nAngle E = 215 degrees\n\nAngle F = 35 degrees\n\nAngle G = 75 degrees\n\nAngle H = 105 degrees\n\nAngle J = 135 degrees\n\nAngle K = 120 degrees\n\nAngle L = 211 degrees\n\nAngle M = 324 degrees\n

      Object A Solution:<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n
      1.\u00a0\u00a0\u00a0\u00a0\u00a0 Find the polar coordinate A TO B:<\/td>\n@2<0<\/td>\n<\/tr>\n
      2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate the first angle:<\/td>\n180 - 150 = 30 degrees<\/td>\n<\/tr>\n
      3.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find the polar coordinate B TO C:<\/td>\n@2<30<\/td>\n<\/tr>\n
      4.\u00a0\u00a0\u00a0\u00a0 Copy the 30 degree angle to the next corner.<\/td>\n <\/td>\n<\/tr>\n
      5.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate the second angle:<\/td>\n180 - 110 = 70 degrees<\/td>\n<\/tr>\n
      6.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Add the two angles:<\/td>\n30 + 70 = 100 degrees<\/td>\n<\/tr>\n
      7.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find the polar coordinate C TO D:<\/td>\n@3<100<\/td>\n<\/tr>\n
      8.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate angle DD:<\/td>\n180 - 100 = 80 degrees<\/td>\n<\/tr>\n
      9.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find angle EE:<\/td>\n100 + 80 = 180 degrees<\/td>\n<\/tr>\n
      10.\u00a0\u00a0 Find the polar coordinate D TO E:<\/td>\n@2<180<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Object B Solution:<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find polar coordinate A TO B<\/td>\n@3<0<\/td>\n<\/tr>\n
      2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate angle AA:<\/td>\n180 - 135 = 45 degrees<\/td>\n<\/tr>\n
      3.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find polar coordinate B TO C<\/td>\n@3<45<\/td>\n<\/tr>\n
      4.\u00a0\u00a0 Copy angle AA to the next corner<\/td>\n <\/td>\n<\/tr>\n
      5.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate angle BB<\/td>\n180 - 105 = 75 degrees<\/td>\n<\/tr>\n
      6.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find angle CC<\/td>\n45 + 75 = 120 degrees<\/td>\n<\/tr>\n
      7.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find polar coordinate C TO D<\/td>\n@2<120<\/td>\n<\/tr>\n
      8.\u00a0 Copy angle CC to the next corner<\/td>\n <\/td>\n<\/tr>\n
      9.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate angle DD<\/td>\n180 - 120 = 60 degrees<\/td>\n<\/tr>\n
      10. Find angle EE120 + 60 = 180 degrees<\/td>\n <\/td>\n<\/tr>\n
      11.\u00a0\u00a0 Find polar coordinate D TO E<\/td>\n@3<180<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n ","rendered":"
      \n
      \n

      Learning Outcomes<\/p>\n<\/header>\n

      \n

      When you have completed this module, you will be able to:<\/p>\n

        \n
      1. Describe the geometry of angles.<\/li>\n
      2. Describe the Polar Coordinate System.<\/li>\n
      3. Apply the LINE command to draw lines using the Polar Coordinate System.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n

        Geometry Lesson: Angles<\/h1>\n

        An angle<\/span> <\/em>is formed by two intersecting lines. When measuring an angle in a drawing, AutoCAD defines zero degrees at 3:00 o’clock with the positive angle in the counterclockwise direction and a negative angle in the clockwise direction. Study angle geometry in Figure 10-1, 10-2, and 10-3. These principles are used extensively to construct drawings in AutoCAD.<\/p>\n

        \"\"
        Figure 10-1 Angles – Part 1<\/figcaption><\/figure>\n
        \"\"
        Figure 10-1 Angles – Part 2<\/figcaption><\/figure>\n

        All angles are express in either positive or negative degrees. AutoCAD will accept either. Since positive is the default, the positive sign does not have to precede the number but a negative angle must be preceded by the negative sign.<\/p>\n

        \"\"
        Figure 10-3 Angles – Part 3<\/figcaption><\/figure>\n

        WORKALONG: Working With Angles<\/h1>\n

        Step 1<\/h2>\n

        Study Figure 10-1, 10-2, and 10-3. Using what you learned and without drawing in AutoCAD, find the answers for the angles A to M. After you find a solution to all of the angles, check your answers with the solutions at the end of the module.<\/p>\n

         <\/p>\n

        \"\"
        Figure Step 1A<\/figcaption><\/figure>\n
        \"\"
        Figure Step 1B<\/figcaption><\/figure>\n
        \"\"
        Figure Step 1C<\/figcaption><\/figure>\n
        \n

        AUTHOR’S COMMENTS: <\/strong>It is sometime easier to sketch the figure and calculate the angle using paper and pencil.<\/p>\n<\/div>\n

        \"\"
        Figure Step 1D<\/figcaption><\/figure>\n
        \"\"
        Figure Step 1E<\/figcaption><\/figure>\n
        \"\"
        Figure Step 1F<\/figcaption><\/figure>\n
        \"\"
        Figure Step 1G<\/figcaption><\/figure>\n

        The Polar Coordinate System<\/h1>\n

        The Polar Coordinate System <\/em><\/span>is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. In AutoCAD, you use it when you are given a distance and an angle from a known coordinate location. All angles are measured with 0 degrees at 3:00 o’clock. The angles are positive in the counterclockwise direction and negative in the clockwise direction. See Figure 10-4.<\/p>\n

        \"\"
        Figure 10-4 The Polar Coordinate System<\/figcaption><\/figure>\n

        A polar coordinate is entered into AutoCAD as a distance, a less than symbol, and an angle. In all cases, the @ symbol must precede the distance. i.e.<\/p>\n

        @6<45<\/p>\n

        means ‘ from the last point, go 6 units at an angle of 45 degrees, positive, starting at 3 o’clock ‘. AutoCAD always assumes positive as default, therefore, the positive sign can be omitted. i.e.<\/p>\n

        @5<-60<\/p>\n

        WORKALONG: Using the Polar Coordinate System – Part 1<\/h1>\n

        Workalong and complete the following steps to solve the angles and polar coordinates. If necessary, use paper and pencil. Do not use AutoCAD.<\/p>\n

        Step 1<\/h2>\n

        Study the figure and solutions for numbers 1 to 6. Solve the answers for numbers 7 to 11. (Figure Step 1)<\/p>\n

        \"\"
        Figure Step 1<\/figcaption><\/figure>\n
        \n

        AUTHOR’S COMMENTS: <\/strong>The answers are at the end of the module. Do not look at the answers until you think you have correctly solved each one.<\/p>\n<\/div>\n

        Object A Solution:<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
        1. Find the polar coordinate A TO B:<\/td>\n@2<0<\/td>\n<\/tr>\n
        2. Calculate the first angle:<\/td>\n180 – 150 = 30 degrees<\/td>\n<\/tr>\n
        3. Find the polar coordinate B TO C:<\/td>\n@2<30<\/td>\n<\/tr>\n
        4. Copy the 30 degree angle to the next corner.<\/td>\n<\/td>\n<\/tr>\n
        5. Calculate the second angle:<\/td>\n180 – 110 = 70 degrees<\/td>\n<\/tr>\n
        6. Add the two angles:<\/td>\n30 + 70 = 100<\/td>\n<\/tr>\n
        7. Find the polar coordinate C TO D:<\/td>\n@ <<\/td>\n<\/tr>\n
        8. Copy the angle 100 to the next corner.<\/td>\n<\/td>\n<\/tr>\n
        9. Calculate angle DD:<\/td>\nDD =<\/td>\n<\/tr>\n
        10. Find angle EE:<\/td>\nEE =<\/td>\n<\/tr>\n
        11. Find the polar coordinate D TO E:<\/td>\n@ <<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

        Step 2<\/h2>\n

        Study the figure and find the solutions for numbers 1 to 11. (Figure Step 3)<\/p>\n

        \"\"
        Figure Step 2<\/figcaption><\/figure>\n
        \n

        AUTHOR’S COMMENTS: <\/strong>The answers are at the end of the module. Do not look at the answers until you think you have correctly solved each number.<\/p>\n<\/div>\n

        Object B Solution:<\/span><\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
        1. Find polar coordinate A TO B<\/td>\n@ <<\/td>\n<\/tr>\n
        2. Calculate angle AA:<\/td>\n<\/td>\n<\/tr>\n
        3. Find polar coordinate B TO C<\/td>\n@ <<\/td>\n<\/tr>\n
        4. Copy angle AA to the next corner<\/td>\n<\/td>\n<\/tr>\n
        5. Calculate angle BB<\/td>\n<\/td>\n<\/tr>\n
        6. Find angle CC<\/td>\n<\/td>\n<\/tr>\n
        7. Find polar coordinate C TO D<\/td>\n@ <<\/td>\n<\/tr>\n
        8. Copy angle CC to the next corner<\/td>\n<\/td>\n<\/tr>\n
        9. Calculate angle DD<\/td>\n<\/td>\n<\/tr>\n
        10. Find angle EE<\/td>\n<\/td>\n<\/tr>\n
        11. Find polar coordinate D TO E<\/td>\n@ <<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

        WORKALONG: Using the Polar Coordinate System – Part 2<\/h1>\n

        Step 1<\/h2>\n

        Start a new drawing using the template: 2D English<\/span>.<\/p>\n

        Step 2<\/h2>\n

        Save and name the drawing: AutoCAD 2D Workalong 10-1.<\/span><\/p>\n

        Step 3<\/h2>\n

        Create layers: Object<\/span> and Construction<\/span>. (Figure Step 3)<\/p>\n

        \"\"
        Figure Step 3<\/figcaption><\/figure>\n

        Step 4<\/h2>\n

        Set layer: Object<\/span> as the current layer and enter the LINE command, as shown below, to draw the object. (Figure Step 4A)<\/p>\n

        \"\"
        Figure Step 4A<\/figcaption><\/figure>\n

        \"\"<\/p>\n

        Command: L<\/strong><\/p>\n

        Specify first point: 2.5,4.5<\/strong><\/p>\n

        (Start with an absolute Cartesian Coordinate.)<\/em><\/span><\/p>\n

        Specify next point or [Undo]: @3<0<\/strong><\/p>\n

        (A to B is a horizontal line which is zero degrees.)<\/em><\/span><\/p>\n

        Specify next point or [Undo]: @2<90<\/strong><\/p>\n

        (B to C is a vertical line at 90 degrees.)<\/em><\/span><\/p>\n

        (Figure Step 4B)<\/p>\n

        \"\"
        Figure Step 4B<\/figcaption><\/figure>\n
        \n

        AUTHOR’S COMMENTS: <\/strong>Refer to the dimensioned drawing in Figure Step 4 when you construct this drawing and try to understand the polar coordinates that you are entering.<\/p>\n<\/div>\n

        Specify next point or [Close\/Undo]: @2<45<\/strong><\/p>\n

        (C to D is 45 degrees positive.)<\/em><\/span><\/p>\n

        (Figure Step 4C)<\/p>\n

        \"\"
        Figure Step 4C<\/figcaption><\/figure>\n

        Specify next point or [Close\/Undo]: @1.5<100<\/strong><\/p>\n

        (D to E)<\/em><\/span><\/p>\n

        (Figure Step 4D)<\/p>\n

        \"\"
        Figure Step 4D<\/figcaption><\/figure>\n

        Specify next point or<\/p>\n

        [Close\/Undo]: @1<180<\/strong><\/p>\n

        (E to F is a horizontal line at 180 degrees.)<\/em><\/span><\/p>\n

        (Figure Step 4E)<\/p>\n

        \"\"
        Figure Step 4E<\/figcaption><\/figure>\n
        MUST KNOW:<\/strong> AutoCAD measures angles starting with 0 degrees at 3:00 o’clock. Positive angles are measured in the counterclockwise direction and negative angles are measured in the clockwise direction. \"\"<\/div>\n

        Specify next point or [Close\/Undo]: @2<225<\/strong><\/p>\n

        (F to G)<\/em><\/span><\/p>\n

        (Figure Step 4F)<\/p>\n

        \"\"
        Figure Step 4F<\/figcaption><\/figure>\n

        Specify next point or [Close\/Undo]: @1.5<165<\/strong><\/p>\n

        (G to H)<\/em><\/span><\/p>\n

        Specify next point or [Close\/Undo]: C<\/strong><\/p>\n

        (Use Close for H to A)<\/em><\/span><\/p>\n

        Specify next point or [Close\/Undo]:<\/p>\n

        Command:<\/p>\n

        (Figure Step 4G)<\/p>\n

        \"\"
        Figure Step 4G<\/figcaption><\/figure>\n

        Step 5<\/h2>\n

        Your completed drawing should match the figure. (Figure Step 5)<\/p>\n

        \"\"
        Figure Step 5<\/figcaption><\/figure>\n

        Step 6<\/h2>\n

        Save and close the drawing.<\/p>\n

        \"\"
        Figure 10-5 Object Snap Mode – Intersection<\/figcaption><\/figure>\n

        WORKALONG: Using the Object Snap Mode – Intersection<\/h1>\n

        Step 1<\/h2>\n

        Start a new drawing using the template: 2D English<\/span>.<\/p>\n

        Step 2<\/h2>\n

        Save and name the drawing: AutoCAD 2D Workalong 10-2<\/span>.<\/p>\n

        Step 3<\/h2>\n

        Create the layers: Object<\/span> and Construction<\/span>. Set layer: Construction<\/span> as the current layer. (Figure Step 3)<\/p>\n

        \"\"
        Figure Step 3<\/figcaption><\/figure>\n
        \"\"
        Figure Step 4A<\/figcaption><\/figure>\n

        Step 4<\/h2>\n

        Refer to the figures and enter the LINE command, as shown below, to draw four construction lines. (Figure Step 4A and 4B)<\/p>\n

        Command: L<\/strong><\/p>\n

        LINE Specify first point: 2,5<\/strong><\/p>\n

        Specify next point or [Undo]: @4<0 <\/strong><\/p>\n

        Specify next point or [Undo]: @2<90 <\/strong><\/p>\n

        Specify next point or [Close\/Undo]: @1<90<\/strong><\/p>\n

        Specify next point or [Close\/Undo]: @3<180 <\/strong><\/p>\n

        Specify next point or [Close\/Undo]: @1<180 <\/strong><\/p>\n

        Specify next point or [Close\/Undo]: @1<270 <\/strong><\/p>\n

        Specify next point or [Close\/Undo]: C<\/strong><\/p>\n

        \"\"
        Figure Step 4B<\/figcaption><\/figure>\n
        \n

        AUTHOR’S COMMENTS: <\/strong>Note how I drew the rectangle by drawing lines from endpoint to endpoint of the object’s geometry. This workalong is teaching you a drawing technique that will help you improve your drawing speed.<\/p>\n<\/div>\n

        Step 5<\/h2>\n

        Ensure that osnap is enable and then draw an additional construction line by snapping to the endpoint of the existing line and 1 unit in the -X direction. (Figure Step 5A and 5B)<\/p>\n

        \"\"
        Figure Step 5B<\/figcaption><\/figure>\n
        \"\"
        Figure Step 5B<\/figcaption><\/figure>\n
        \n

        AUTHOR’S COMMENTS: <\/strong>As I commented in Step 4, I drew the rectangle by drawing lines from endpoint to endpoint of the object’s geometry. In this step, I can now snap to endpoint of line that is 2 inches long. Even though you cannot see the endpoint of the line, osnap will find it easily by move the graphic cursor over the line.<\/p>\n<\/div>\n

        Step 6<\/h2>\n

        Set layer: Object<\/span> as the current layer. Enter the LINE command and enable osnap. Draw the perimeter lines of the object by snapping to the endpoints of the construction lines. (Figure Step 6A, 6B, 6C, 6D, 6E, 6F, 6G, 6H, and 6J)<\/p>\n

        \"\"
        Figure Step 6A<\/figcaption><\/figure>\n
        \"\"
        Figure Step 6B<\/figcaption><\/figure>\n
        \"\"
        Figure Step 6C<\/figcaption><\/figure>\n
        \"\"
        Figure Step 6D<\/figcaption><\/figure>\n
        \"\"
        Figure Step 6E<\/figcaption><\/figure>\n
        \"\"
        Figure Step 6F<\/figcaption><\/figure>\n
        \"\"
        Figure Step 6G<\/figcaption><\/figure>\n
        \"\"
        Figure Step 6H<\/figcaption><\/figure>\n
        \"\"
        Figure Step 6J<\/figcaption><\/figure>\n

        Step 7<\/h2>\n

        On layer: Construction<\/span> , draw two construction lines by snapping to the endpoint of the existing lines as shown in the figure. (Figure Step 7)<\/p>\n

        \"\"
        Figure Step 7<\/figcaption><\/figure>\n

        Step 8<\/h2>\n

        Enter the CIRCLE command and draw a 1 diameter circle locating its center point by<\/p>\n

        snapping to intersection of the two construction lines you drew in Step 7. (Figure Step 8A and 8B)<\/p>\n

        \"\"
        Figure Step 8A<\/figcaption><\/figure>\n
        \"\"
        Figure Step 8B<\/figcaption><\/figure>\n

        Step 9<\/h2>\n

        Freeze layer: Construction<\/span>. (Figure Step 9)<\/p>\n

        \"\"
        Figure Step 9<\/figcaption><\/figure>\n

        Step 10<\/h2>\n

        Save and close the drawing.<\/p>\n

        Key Principles<\/h1>\n
        \n
        \n

        Key Principles in Module 10<\/p>\n<\/header>\n

        \n
          \n
        1. The Polar Coordinate System is used to draw lines using a distance and an angle from a known coordinate location.<\/li>\n
        2. By default, an AutoCAD polar coordinate measures angles starting 0 degrees at 3:00 o’clock.<\/li>\n
        3. In a polar coordinate, positive angles are measured counterclockwise and negative angles are measured clockwise.<\/li>\n
        4. A polar coordinate is entered into AutoCAD as a distance, a less than symbol, and an angle. In all cases, the @ symbol must precede the distance.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n

          Lab Exercise 10-1<\/h1>\n

          Time allowed: 30 minutes.<\/p>\n\n\n\n\n
          Drawing Name<\/th>\nTemplate<\/th>\nUnits<\/th>\n<\/tr>\n
          AutoCAD 2D Lab 10-1<\/td>\n2D English<\/td>\nInches<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
          Layering Scheme<\/span><\/caption>\n
          Layer Name<\/th>\nObjects on Layer<\/th>\nColor<\/th>\n<\/tr>\n
          Construction<\/td>\nConstruction objects<\/td>\n253<\/td>\n<\/tr>\n
          Object<\/td>\nLines<\/td>\nRed<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

          Step 1<\/h2>\n

          Start a new drawing using the template shown above.<\/p>\n

          Step 2<\/h2>\n

          Setup the layers using the Layering Scheme.<\/p>\n

          Step 3<\/h2>\n

          Draw the object shown in the figures using the layering scheme. (Figure Step 3A and 3B)<\/p>\n

          \"\"<\/p>\n

          \"\"
          Figure Step 3A<\/figcaption><\/figure>\n

           <\/p>\n

          \"\"
          Fig Step 3B
          Completed Drawing<\/figcaption><\/figure>\n

          Step 4<\/h2>\n

          Enter the UNITS command. In the Units dialogue box, set the Insertion Units to Inches.<\/p>\n

          Step 5<\/h2>\n

          Check your drawing with the key. The key name is the same as the drawing name.<\/p>\n

          Step 6<\/h2>\n

          If you have any errors, turn layer: Key<\/span> off and correct your drawing. If you cannot correct it, start it over from the beginning.<\/p>\n

          Step 7<\/h2>\n

          Turn layer: Key<\/span> on to check your drawing. If it is still inaccurate, go back to Step 6.<\/p>\n

          Step 8<\/h2>\n

          Turn layer: Key<\/span> off.<\/p>\n

          Step 9<\/h2>\n

          Save and close the drawing.<\/p>\n

          AUTHOR’S CONSTRUCTION HINTS:<\/strong> Do your best to complete the lab exercise drawing without using the following hints. If you get stuck and can not complete it on your own, use the following hints to help you.<\/div>\n

          Hint1<\/h2>\n

          See the figure for the polar coordinates. (Figure Hint 1)<\/p>\n

          \"\"
          Figure Hint 1<\/figcaption><\/figure>\n

          Hint 2<\/h2>\n

          Draw the line from J to I by snapping to the endpoints. (Figure Hint 2)<\/p>\n

          \"\"
          Figure Hint 2<\/figcaption><\/figure>\n

          Hint 3<\/h2>\n

          The solutions to the angles at G and F are shown in the figures. (Figure Hint 3A and 3B)<\/p>\n

          \"\"
          Figure Hint 3A<\/figcaption><\/figure>\n

           <\/p>\n

          \"\"
          Figure Hint 3B<\/figcaption><\/figure>\n

          Lab Exercise 10-2<\/h1>\n

          Time allowed: 40 minutes.<\/p>\n\n\n\n\n
          Drawing Name<\/th>\nTemplate<\/th>\nUnits<\/th>\n<\/tr>\n
          AutoCAD 2D Lab 10-2<\/td>\n2D Metric<\/td>\nMillimeters<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
          Layering Scheme<\/span><\/caption>\n
          Layer Name<\/th>\nObjects on Layer<\/th>\nColor<\/th>\n<\/tr>\n
          Construction<\/td>\nConstruction objects<\/td>\n253<\/td>\n<\/tr>\n
          Object<\/td>\nLines<\/td>\nRed<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

          Step 1<\/h2>\n

          Start a new drawing using the template shown above.<\/p>\n

          Step 2<\/h2>\n

          Setup the layers using the Layering Scheme.<\/p>\n

          Step 3<\/h2>\n

          Draw the object shown in the figures using the layering scheme. (Figure Step 3A and 3B)<\/p>\n

          \"\"<\/p>\n

          \"\"
          Figure Step 3A<\/figcaption><\/figure>\n
          \"\"
          Figure Step 3B
          Completed Drawing<\/figcaption><\/figure>\n

          Step 4<\/h2>\n

          Enter the UNITS command. In the Units dialogue box, set the Insertion Units to Millimeters.<\/p>\n

          Step 5<\/h2>\n

          Check your drawing with the key. The key name is the same as the drawing name.<\/p>\n

          Step 6<\/h2>\n

          If you have any errors, turn layer: Key<\/span> off and correct your drawing. If you cannot correct it, start it over from the beginning.<\/p>\n

          Step 9<\/h2>\n

          Save and close the drawing.<\/p>\n

          AUTHOR’S CONSTRUCTION HINTS: <\/strong>Do your best to complete the lab exercise drawing without using the following hint. If you get stuck and cannot complete it on your own, use the following hint to help you.<\/div>\n

          Hint 1<\/h2>\n

          See the figure for the polar coordinates. (Figure Hint 1)<\/p>\n

          \"\"
          Figure Hint 1<\/figcaption><\/figure>\n

          Lab Exercise 10-3<\/h1>\n

          Time allowed: 40 minutes.<\/p>\n\n\n\n\n
          Drawing Name<\/th>\nTemplate<\/th>\nUnits<\/th>\n<\/tr>\n
          AutoCAD 2D Lab 10-3<\/td>\n2D Metric<\/td>\nMillimeters<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n
          Layering Scheme<\/caption>\n
          Layer Name<\/th>\nObjects on Layer<\/th>\nColor<\/th>\n<\/tr>\n
          Angle Bracket<\/td>\nAll drawing objects<\/td>\nBlue<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

          Step 1<\/h2>\n

          Draw the front view of the angle bracket shown in the dimensioned drawing using the layering scheme. (Figure Step 1A, 1B, and 1C)<\/p>\n

          Step 2<\/h2>\n

          All objects should be on layer Angle Bracket and display blue.<\/p>\n

           <\/p>\n

          \"\"
          Figure Step 1A
          Angle Bracket<\/figcaption><\/figure>\n
          \"\"
          Figure Step 1B<\/figcaption><\/figure>\n
          \"\"
          Figure Step 1C
          Completed Drawing<\/figcaption><\/figure>\n

          Step 3<\/h2>\n

          Set the insertion units and check your drawing with the key. Turn layer: Key off and freeze layer: Construction<\/span>.<\/p>\n

          Step 4<\/h2>\n

          Save and close the drawing.<\/p>\n

          AUTHOR’S CONSTRUCTION HINTS:<\/strong> Do your best to complete the lab exercise drawing without using the following hints.<\/div>\n

          Hint 1<\/h2>\n

          This figure shows my construction drawing objects. Your construction drawing objects do not have to match as there are may ways to construct an object. I use circles rather an arcs, whenever possible, as they are easier to construct. (Figure Hint 1)<\/p>\n

           <\/p>\n

          \"\"
          Figure Hint 1<\/figcaption><\/figure>\n

          \"\"Angle A = 40 degrees<\/p>\n

          Angle B = 125 degrees<\/p>\n

          Angle C = 150 degrees<\/p>\n

          Angle D = 30 degrees<\/p>\n

          Angle E = 215 degrees<\/p>\n

          Angle F = 35 degrees<\/p>\n

          Angle G = 75 degrees<\/p>\n

          Angle H = 105 degrees<\/p>\n

          Angle J = 135 degrees<\/p>\n

          Angle K = 120 degrees<\/p>\n

          Angle L = 211 degrees<\/p>\n

          Angle M = 324 degrees<\/p>\n

          Object A Solution:<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n
          1.\u00a0\u00a0\u00a0\u00a0\u00a0 Find the polar coordinate A TO B:<\/td>\n@2<0<\/td>\n<\/tr>\n
          2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate the first angle:<\/td>\n180 – 150 = 30 degrees<\/td>\n<\/tr>\n
          3.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find the polar coordinate B TO C:<\/td>\n@2<30<\/td>\n<\/tr>\n
          4.\u00a0\u00a0\u00a0\u00a0 Copy the 30 degree angle to the next corner.<\/td>\n <\/td>\n<\/tr>\n
          5.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate the second angle:<\/td>\n180 – 110 = 70 degrees<\/td>\n<\/tr>\n
          6.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Add the two angles:<\/td>\n30 + 70 = 100 degrees<\/td>\n<\/tr>\n
          7.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find the polar coordinate C TO D:<\/td>\n@3<100<\/td>\n<\/tr>\n
          8.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate angle DD:<\/td>\n180 – 100 = 80 degrees<\/td>\n<\/tr>\n
          9.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find angle EE:<\/td>\n100 + 80 = 180 degrees<\/td>\n<\/tr>\n
          10.\u00a0\u00a0 Find the polar coordinate D TO E:<\/td>\n@2<180<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

          Object B Solution:<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
          1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find polar coordinate A TO B<\/td>\n@3<0<\/td>\n<\/tr>\n
          2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate angle AA:<\/td>\n180 – 135 = 45 degrees<\/td>\n<\/tr>\n
          3.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find polar coordinate B TO C<\/td>\n@3<45<\/td>\n<\/tr>\n
          4.\u00a0\u00a0 Copy angle AA to the next corner<\/td>\n <\/td>\n<\/tr>\n
          5.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate angle BB<\/td>\n180 – 105 = 75 degrees<\/td>\n<\/tr>\n
          6.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find angle CC<\/td>\n45 + 75 = 120 degrees<\/td>\n<\/tr>\n
          7.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find polar coordinate C TO D<\/td>\n@2<120<\/td>\n<\/tr>\n
          8.\u00a0 Copy angle CC to the next corner<\/td>\n <\/td>\n<\/tr>\n
          9.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate angle DD<\/td>\n180 – 120 = 60 degrees<\/td>\n<\/tr>\n
          10. Find angle EE120 + 60 = 180 degrees<\/td>\n <\/td>\n<\/tr>\n
          11.\u00a0\u00a0 Find polar coordinate D TO E<\/td>\n@3<180<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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