Question

Maria draws △PQR. Then she applies a dilation with scale factor 14 and center of dilation P to the triangle. Next, she translates the image 2 centimeters up and 3 centimeters right. She labels the final image as △XYZ.

Which of the following must be true about △PQR and △XYZ?


△PQR and △XYZ are similar but not congruent.

△PQR and △XYZ are congruent but not similar.

△PQR and △XYZ are neither similar nor congruent.

△PQR and △XYZ are congruent and similar.

Answer 1

Answer: △PQR and △XYZ are similar but not congruent.

Explanation:

Answer 2

△PQR and △XYZ are similar but not congruent.

Explanation:

When Maria dilated the triangle the size changed and so they can't be congruent. But it wouldn't have changed it's shape, so it'll be similar.