Geometric Construction

# 7 Create a Perpendicular Line

# Create a Perpendicular Line at the Middle of a Line

- Draw a line.

- the line.

- In bisecting the line, we have created a line (x-y axis).

# Create a Perpendicular Line at the End of a Line

** **

- Draw a line.

- Set your compass to a 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/, it create a 60° angle and .
- 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° .
- From the end of the line, draw a line through the last point.

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