Question

question 1. alex used a compass and straightedge to complete the construction below. which statement best describes alexs construction? a. alex constructed line cd parallel to line segment ab. b. alex constructed line cd congruent to segment ab. c. alex constructed line cd to be the angle bisector of segment ab. d. alex constructed line cd to be the perpendicular bisector of segment ab.

Explanation:

When constructing a perpendicular bisector of a line - segment using a compass and straightedge, we create arcs from both endpoints of the segment (A and B) with equal radii. The intersection points of these arcs (C and D) are then connected to form a line that is perpendicular to the segment and bisects it. In the given construction, the arcs are drawn from A and B and the line CD is formed by connecting the intersection points of the arcs, which is the process of constructing a perpendicular bisector.

Answer:

D. Alex constructed line CD to be the perpendicular bisector of segment AB.