Question

8 1-2 quiz: constructions
what is the next step in the construction of an angle bisector of angle abc?
a. use a compass to draw a circle of any radius greater than ab, with point a as the center.
b. use a compass to draw a circle of any radius less than ab, with vertex b as the center.
c. use a compass to draw a circle of any radius greater than ab, with vertex b as the center.
d. use a compass to draw a circle of any radius less than ab, with point a as the center.

Explanation:

To construct an angle - bisector of ∠ABC, first step is to use a compass with vertex B as center and draw a circle of radius less than the lengths of the sides BA and BC.

Answer:

B. Use a compass to draw a circle of any radius less than $\overline{AB}$, with vertex B as the center.