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: Understand the property of rotation

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

Step2: Analyze the order of vertices

When we write a congruence statement for polygons, the order of the vertices must correspond. For quadrilateral \(ABCD\) rotated about point \(T\) to get \(A'B'C'D'\), the order of the vertices \(A
ightarrow A'\), \(B
ightarrow B'\), \(C
ightarrow C'\), \(D
ightarrow D'\)

Answer:

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