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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 :

The answer is:

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


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Rewritten by : Barada

The correct option is;

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

Option D is true.

What is Transformation?

A transformation is general term for four specific ways to manipulate the shape or position of a point, a line, or any geometric figure.

Given that;

Two figure of quadrilateral are shown in attached figure.

Since, Two figures are said to be congruent if their vertices can be mapped into one another by appropriate rigid transformation.

And, Examples of the transformation are;

Reflection, dilation, rotation and translation.

Now, Comparing the given 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.

Thus, The correct option is;

There is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Learn more about the transformation visit:

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