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← Compass and Straight Edge Constructions

Construction

Bisecting an Angle

An angle can be bisected using a compass and a straightedge.

To bisect an angle, these three steps can be followed.

1

Draw an Arc Across the Rays

Begin by placing the sharp end of the compass at the vertex of the angle. Draw an arc across the rays.

Draw an Arc Across the Rays

2

Draw Two New Arcs Intersecting Each Other

Next, keeping the compass set, place the needle at the points where the rays intersect the arc. Draw two new arcs intersecting each other.

Draw Two New Arcs Intersecting Each Other

3

Use a Straightedge to Draw the Angle Bisector

Use a straightedge to draw a ray from the vertex through the intersection between the two arcs.

Use a Straightedge to Draw the Angle Bisector

This ray is the angle bisector. It divides the angle into two congruent angles.

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