Geometric Construction
7 Create a Perpendicular Line
Create a Perpendicular Line at the Middle of a Line
- Draw a line.
- Bisect the line.
- In bisecting the line, we have created a perpendicular line (x-y axis).
Create a Perpendicular Line at the End of a Line
- Draw a line.
- Set your compass to a radius of reasonable distance.
- Swing that arc from the end of the line.
- Using the same distance (radius) on your compass, swing that distance along the arc twice. Each time you swing the radius along its own arc/circumference, it create a 60° angle and sector.
- Bisect the arc between the last two points. We are bisecting the second 60° sector to create two 30° sectors. If we then look at the arc, we have a 60° sector and a 30° sector, which combine to make a 90° quadrant.
- From the end of the line, draw a line through the last point.
definition
to divide in half
a line/plane which is 90° to another
the distance from center to any point of the circumference, half the diameter
the distance around a circle, perimeter of a circle
the area of a circle bound by 2 radii and an arc
a sector which equals one quarter of the area of a circle