Question

for items 2 - 5, refer to ∠cab shown. in order to construct the initial point of ∠cab for the angle bisector, where should you place the compass point? image of angle cab with vertex a, side ab to the right, side ac up, points a, b, c labeled options: a. a, b. b, c. c, d. b and c

Explanation:

To construct the angle bisector of $\angle CAB$, the first step in the compass - and - straightedge construction of an angle bisector is to place the compass point at the vertex of the angle, which is point $A$. Then we draw arcs that intersect the two sides of the angle (rays $AB$ and $AC$). If we were to place the compass at $B$ or $C$ first, it would not follow the standard angle - bisector construction procedure. And placing it at both $B$ and $C$ simultaneously is not part of the initial step of the angle - bisector construction. So the compass point should be placed at $A$.

Answer:

A. A