Question

at an archeological site, the remains of two ancient step pyramids are congruent. if abcd ≅ efgh, find gh. (diagrams are not to scale.)
gh = □ ft

Explanation:

Step1: Use the property of congruent polygons

Congruent polygons have corresponding sides equal. Since \(ABCD\cong EFGH\), the corresponding side of \(AD\) is \(EH\), and the corresponding side of \(BC\) is \(FG\). Also, the corresponding side of \(AB\) is \(EF\) and the corresponding side of \(CD\) is \(GH\).

Step2: Identify the length of the corresponding side

In the first pyramid, \(CD = 42\) ft. Because of the congruence \(ABCD\cong EFGH\), the corresponding side \(GH\) has the same length as \(CD\).

Answer:

\(42\)