Which sentence best explains why shape 1 and shape 2 are not congruent?

A. Not all corresponding pairs of sides on the two shapes are parallel.
B. There is no sequence of rigid transformations that will map shape 1 onto shape 2.
C. Shape 1 cannot be mapped onto shape 2 using a reflection.
D. Not all corresponding pairs of sides on the two shapes are perpendicular.
E. Shape 1 cannot be mapped onto shape 2 using a dilation.

1 answer

The best sentence that explains why shape 1 and shape 2 are not congruent is:

B. There is no sequence of rigid transformations that will map shape 1 onto shape 2.

Explanation:
Congruent shapes can be mapped onto each other through a series of rigid transformations, which include translations, rotations, and reflections. If no such sequence of rigid transformations can map one shape onto the other, then the shapes are not congruent. Therefore, option B accurately describes the reason why the two shapes are not congruent.
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