Question

question 19 of 25
if (overline{pq}congoverline{rs}), which of the following must be true?
a. (overline{pq}) and (overline{rs}) have the same length.
b. (overline{pq}) and (overline{rs}) form a straight angle.
c. (overline{pq}) and (overline{rs}) are the same segment.
d. (overline{pq}) and (overline{rs}) form a zero angle.

Explanation:

Congruent segments, by definition, have the same length. Just because \(\overline{PQ}\cong\overline{RS}\), it doesn't mean they form a straight angle (no information about their orientation to suggest that), they are not necessarily the same segment (they have different labels \(PQ\) and \(RS\)), and there's no indication they form a zero - angle.

Answer:

A. \(\overline{PQ}\) and \(\overline{RS}\) have the same length.