Question

practice problems 7 problems 1 which construction can be used to determine whether point c is closer to point a or point b? a construct triangle abc. b construct a line perpendicular to segment ab through point c. c construct the bisector of angle acb. d construct the perpendicular bisector of segment ab.

Explanation:

The perpendicular bisector of a line - segment AB is the set of all points that are equidistant from A and B. Points on one side of the perpendicular bisector are closer to one of the endpoints (A or B). By constructing the perpendicular bisector of segment AB, we can determine on which side of it point C lies, and thus whether C is closer to A or B.

Answer:

D. Construct the perpendicular bisector of segment AB.