High School

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Are rectangles ABCD and WXYZ congruent? Why or why not?

A. Yes, all right angles were preserved.
B. Yes, both rectangles have an area of 24 square units.
C. Yes, a 180° rotation about the origin will map ABCD to WXYZ.
D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answer :

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

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