For a dilation with a scale factor greater than 1, how do the angles and side lengths of the preimage relate to the angles and side lengths of the image?

A. Angles are proportional; side lengths are larger.
B. Angles are proportional; side lengths are smaller.
C. Angles are congruent; side lengths are smaller.
D. Angles are congruent; side lengths are larger.

1 answer

For a dilation with a scale factor greater than 1, the relationship between the angles and side lengths of the preimage and the image is as follows:

The angles remain congruent (they do not change during dilation).
The side lengths of the image are larger than the corresponding side lengths of the preimage since the scale factor is greater than 1.

Therefore, the correct answer is:

D. Angles are congruent; side lengths are larger.