Question

1. if bcde is congruent to opqr, then (overline{be}) is congruent to ______

(overline{qr})

(overline{op})

(overline{ro})

(overline{pq})

Explanation:

Step1: Recall congruent - figure property

When two figures are congruent, corresponding parts are congruent.

Step2: Identify corresponding segments

Assuming the order of vertices matters in the congruence B C D E≅O P Q R, B corresponds to O, E corresponds to R. So, the segment \(\overline{BE}\) corresponds to \(\overline{OR}\). But since there is no \(\overline{OR}\) option, we assume a mis - typing in the problem setup and based on the naming convention of congruent polygons, if B C D E≅O P Q R, the first and the last vertices of the first polygon's segment should match the first and the last vertices of the corresponding segment of the second polygon. So \(\overline{BE}\) is congruent to \(\overline{QR}\) as they are corresponding segments.

Answer:

A. \(\overline{QR}\)