Question

Sarah followed the following instructions:

1. Draw an angle using a straight edge with vertex point Q. Place points P and R at the end of the angle forming segments QP and QR.
2. Using a compass, draw an arc that interests both sides of the angle. Place two, A and B, at the intersection of the arc with both sides of the angle.
3. Place the pointed end of the compass on point A. Then, draw a smaller arc inside the angle that extends more than halfway across the inside of the angle.
4. Place the pointed end of the compass on point B. Then draw a smaller arc inside the angle that extends more than halfway across the inside of the angle.
Place point C at the intersection of the two smaller arcs and draw a segment from the vertex point Q to the point C.

What term best describes segment QC?

a. midpoint
b. angle bisector
c. segment bisector
d. an arc

Answer 1

The best term to describe segment QC is:

b. angle bisector

This is because QC splits the angle formed by segments QP and QR into two equal angles, which is the definition of an angle bisector.