The statement best explains why shape 1 and shape 2 are not congruent is ''There is no sequence of rigid transformations that will map shape 1 onto shape 2".
We have to determine, which sentence best explains why shape 1 and shape 2 are not congruent.
According to the question,
Shape 1 has 7 sides thus it is a heptagon.
Shape 2 has 8 sides thus it is an octagon.
In transformations like translation, rotation, dilation, the shape of the final image remains the same, only the orientation and size change.
In the given picture shape 1 is a heptagon and shape 2 is an octagon.
It does not matter whether the sides of the shapes are parallel or not
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.
Therefore, in no way any transformation can yield shape 2 from shape 1.
Hence, there is no sequence of rigid transformations that will map shape 1 onto shape 2"
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