Question

question 2 / 5 patrick is using a compass and straight edge to construct the angle bisector of ∠c. he has found point a by drawing an arc centered at point c. what is the next step in his construction? a. use the compass to draw an arc, centered at s, which intersects ca. b. use the compass to draw an arc, centered at r, which intersects ca. c. use the compass to draw an arc, centered at r, which intersects cs. d. use the compass to draw an arc, centered at a, which intersects cs.

Explanation:

In the process of constructing an angle - bisector using a compass and straight - edge, after drawing an arc centered at the vertex of the angle (point C here) to find point A, the next step is to keep the same compass width and draw an arc centered at the intersection point of the first arc and one of the angle's sides (assuming the intersection points of the first arc with the sides of the angle are named R and S). Without loss of generality, if we consider one of the intersection points, say R, we draw an arc centered at R which intersects the other side of the angle (CS).

Answer:

C. Use the compass to draw an arc, centered at R, which intersects CS.