Question

Please help me. thank you very much.

Answer 1

Question 1:

To change the new image back into the original image, just do the opposite.

To change the original image to the new image, we added x by 3 and subtracted 7 from y.

To change the new image back to the original image, subtract x by 3 and add 7 to y.

Writing this into an equation gives us the following:
$(x,y) \rightarrow (x-3,y+7)$

Question 2:

An isometry is a transformation of an image where the new image is congruent to the preimage.

The second and third choices are incorrect because the preimage is not congruent to the new image in these two choices.

The fourth choice is incorrect because having the same position is not an isometric transformation.

Thus, the answer is the first choice.