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

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 ont class=

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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.

Answer:

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

Explanation:

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