Question

quadrilateral abcd is rotated 145° about point t. the result is quadrilateral abcd. which congruency statement is correct? abcd ≅ abcd abcd ≅ adcb cdab ≅ adcb cdab ≅ cbad

Explanation:

Step1: Recall the property of rotation

Rotation is a rigid transformation. Rigid transformations (such as rotation) preserve the shape and size of a figure. So, the pre - image and the image are congruent.

Step2: Match the vertices of the pre - image and the image

When a quadrilateral \(ABCD\) is rotated about a point \(T\) to get \(A'B'C'D'\), the order of the vertices should be maintained. That is, \(A\) corresponds to \(A'\), \(B\) corresponds to \(B'\), \(C\) corresponds to \(C'\), and \(D\) corresponds to \(D'\).

Answer:

\(ABCD\cong A'B'C'D'\)