Question

which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent?
use the slope formula to prove the slopes of the opposite sides are the same.
use the slope formula to prove the slopes of the opposite sides are opposite reciprocals.
use the distance formula to prove the lengths of the opposite sides are the same.
use the distance formula to prove the midpoints of the opposite sides are the same.

Explanation:

Congruent sides mean sides of equal length. The distance formula calculates the length between two coordinate points, so using it to show opposite sides have equal lengths proves they are congruent. Slope formulas relate to parallelism/perpendicularity, not length congruence, and midpoints do not measure side length.

Answer:

C. Use the distance formula to prove the lengths of the opposite sides are the same.