Bisect an Angle

Today we’ll be bisecting an angle, i.e. cutting an angle in half without using a protractor to measure.  Begin with any angle and draw an arc from the vertex (V) such that your arc crosses both rays of the angle.  Call the points where your arc crosses those rays points A and B.

At this point, notice that we have constructed a segment from point A to point B.  To bisect angle V, we’re simply going to follow the steps to bisect segment AB.

Place your compass point on A and draw an arc.  Then, keeping the same compass opening, draw a matching arc from point B. Call the point where these two arcs cross each other C.

Connect C to V and you have bisected your angle!  Congratulations!