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2. if bcde is congruent to opqr, then (overline{cd}) is congruent to (o…

Question

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

(overline{op}).

(overline{qr}).

(overline{ro}).

(overline{pq}).

Explanation:

Step1: Analyze the congruent polygons

When two polygons are congruent, their corresponding parts (sides and angles) are congruent. The order of the letters in the congruence statement \( BCDE\cong OPQR\) gives the correspondence.
For the first polygon \( BCDE\), the vertices are \( B,C,D,E\) and for the second polygon \( OPQR\), the vertices are \( O,P,Q,R\).
The side \(\overline{CD}\) in polygon \( BCDE\) corresponds to the side \(\overline{PQ}\) in polygon \( OPQR\) based on the order of the letters in the congruence statement.

Answer:

\(\overline{PQ}\)