Question

(04.01 lc)
how could you use coordinate geometry to prove that \\(overline{bc} cong overline{ad}\\)?

prove the slopes are the same.
prove the slopes are opposite reciprocals.
prove the lengths are the same.
prove the midpoints are the same.

Explanation:

To prove that \(\overline{BC}\cong\overline{AD}\) (segments are congruent), we need to show they have the same length. Slopes relate to parallelism (same slope) or perpendicularity (opposite reciprocals), and midpoints relate to bisecting, but congruence of segments is about equal length. So we prove their lengths are the same.

Answer:

C. Prove the lengths are the same.