Question

given ( abcdcong wxyz ).
which side of ( wxyz ) is congruent to segment ( bc )?
( overline{xw} )
( overline{wz} )
( overline{xy} )
( overline{yz} )

Explanation:

Step1: Analyze the congruent polygons

When two polygons are congruent (\(ABCD\cong WXYZ\)), their corresponding sides are congruent. The order of the letters in the congruence statement gives the correspondence.

Step2: Find the corresponding side

For \(ABCD\cong WXYZ\), \(A\) corresponds to \(W\), \(B\) corresponds to \(X\), \(C\) corresponds to \(Y\), and \(D\) corresponds to \(Z\). So, side \(BC\) in polygon \(ABCD\) corresponds to side \(XY\) in polygon \(WXYZ\).

Answer:

\(\overline{XY}\)