quadrilateral abcd is rotated 145° about point t. the result is quadrilateral abcd. which congruency…

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

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

Answer

Explanation:

Step1: Recall rotation property

A rotation is a rigid - motion transformation. Rigid - motion transformations preserve the shape and size of the figure. So, the pre - image and the image are congruent, and the vertices of the pre - image and the image must be in the same order. When quadrilateral (ABCD) is rotated about point (T) to get quadrilateral (A'B'C'D'), the congruency statement should have the vertices in the same order. That is, (A) corresponds to (A'), (B) corresponds to (B'), (C) corresponds to (C'), and (D) corresponds to (D').

Step2: Identify correct congruency statement

The correct congruency statement is (ABCD\cong A'B'C'D') because the vertices of the pre - image and the image are in the same order.

Answer:

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