Question

Given that ΔA′B′C′ is a dilation of ΔABC, how are the angles and side lengths of the preimage related to the angles and side lengths of the image?

Answer 1

Answer:

B. The angles are congruent and the side lengths are proportional.

Explanation:

From the given diagram, it can be observed that ΔABC has been dilated to produce its smaller image. Though the measures of the side lengths have changed, the measure of the angles remain constant. Since dilation process of an object does not affect its internal angles.

Each side length of the object has been educed by a scale factor of half to form the image.

Thus the appropriate answer is: the angles are congruent and the side lengths are proportional.

Answer 2

Given that  ΔA′B′C′ is a dilation of ΔABC, therefore: B. The angles are congruent and the side lengths are proportional.

What is Dilation?

Dilation is a form of transformation whereby and image is formed by enlarging or reducing a preimage by a scale-factor.

The scale-factor represents the ratio of the corresponding sides of the image and the preimage.

The image and preimage after dilation, will have pairs of corresponding angles that are congruent, and pairs of corresponding sides that are proportional.

Therefore, given that  ΔA′B′C′ is a dilation of ΔABC, therefore: B. The angles are congruent and the side lengths are proportional.

Learn more about dilation on:

https://brainly.com/question/10253650