Which sentence best explains why shape 1 and shape 2 are not congruent? a. shape 1 cannot be mapped onto shape 2 using a reflection b. shape 1 cannot be mapped onto shape 2 without using a dilation c. there is no sequence of ridigid transformations that will map shape 1 onto 2 d. not all coresponding pairs of sides on the two shapes are parallel e. not all corresponding pairs of sides on the two shapes are perpendicular

Answer-

Correct answer - "C. There is no sequence of rigid transformations that will map shape 1 onto 2"

Solution-

In transformation like translation, rotation, dilation, the shape of the final image remains same, only the orientation and size changes.

But, here the shape 1 is a heptagon and shape 2 is a regular octagon.

So, in no way any transformation can yield shape 2 from shape 1.

It doesn't matter whether the sides of the shapes are parallel or not.

So, option C is the correct answer.

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

Explanation:

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