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 rotation property

A rotation is a rigid - motion transformation. Rigid - motion transformations preserve the shape and size of a figure. So, the pre - image and the image are congruent. The vertices of the pre - image and the image must be in the same corresponding order.

Step2: Identify corresponding vertices

When quadrilateral $ABCD$ is rotated about point $T$ to get quadrilateral $A'B'C'D'$, vertex $A$ corresponds to vertex $A'$, vertex $B$ corresponds to vertex $B'$, vertex $C$ corresponds to vertex $C'$, and vertex $D$ corresponds to vertex $D'$.

Answer:

$ABCD\cong A'B'C'D'$