Angle Bisector

POINT

An angle bisector divides an angle into two equal angles.
Every point on the angle bisector is equidistant from the two sides of the angle.

Example

① Construct the angle bisector of ∠AOB.

② Using the construction of an angle bisector, construct point P on side BC that is equidistant from sides AB and AC.

①

②

Practice

Try this construction yourself.

① Construct the intersection point O of the angle bisectors of ∠B and ∠C.

② Construct point P on side AC that is equidistant from sides AB and BC.

Please refer to the video above for the construction. If you have any questions, ask in the video comments.