Question

quadrilateral abcd is translated up and to the right, and then rotated about point q. which congruency statement is correct? abcd ≅ wxyz abcd ≅ wzyx abcd ≅ zwxy abcd ≅ zyxw

Explanation:

Step1: Recall congruence properties

Translation and rotation are rigid - motions. Rigid - motions preserve the shape and size of the figure, so the pre - image and the image are congruent. The vertices of the congruent figures must be matched correctly.

Step2: Match the vertices

By observing the orientation of the quadrilaterals, we can see that \(A\) corresponds to \(W\), \(B\) corresponds to \(X\), \(C\) corresponds to \(Y\), and \(D\) corresponds to \(Z\). So the correct congruency statement is \(ABCD\cong WXYZ\).

Answer:

\(ABCD\cong WXYZ\)