Question

choose the option that best describes what is formed by the construction of $overline{cd}$ below.
a. the angle bisector of $angle bac$
b. a 60° angle including $overline{ab}$
c. the midpoint of $overline{ab}$
d. the perpendicular bisector of $overline{ab}$

Explanation:

Step1: Recall construction properties

When we construct arcs with equal radii from points A and B and then draw the line CD through the intersection - points of the arcs, we are constructing the perpendicular bisector of the line segment AB. The points C and D are equidistant from A and B.

Answer:

D. the perpendicular bisector of $\overline{AB}$