Question

jeffy followed the following instructions: • draw an angle using a straightedge with vertex point q. place points p and r at the end of the angle forming segments qp and qr. • using a compass, draw an arc that intersects both sides of the angle. place two points a and b at the intersection of the arc with both sides of the angle. • placing the pointed end of the compass on point a, draw a smaller arc inside the angle that extends more than halfway across the inside of the angle. • placing the pointed end of the compass on point b, 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 point c. what term best describes segment qc? (options: angle bisector, an arc, segment bisector, midpoint)

Explanation:

An angle bisector is a line (or segment) that divides an angle into two equal angles. The steps described involve constructing a segment from the vertex \( Q \) to the intersection point \( C \) of the two arcs drawn inside the angle, which is the standard construction for an angle bisector. An arc is a part of a circle, not a segment from the vertex. A segment bisector divides a segment into two equal parts (not related here). A midpoint is a point, not a segment. So the segment \( QC \) is an angle bisector.

Answer:

angle bisector