<u>Answer-</u>
Correct answer - <em>"C. There is no sequence of rigid transformations that will map shape 1 onto 2"</em>
<u>Solution-</u>
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.