Question

Triangle JKL is rotated 90° clockwise and then dilated by a scale factor of 4 centered at the origin. Which of the following statements describes the properties of triangles JKL and J''K''L'' after the transformations?

A. Corresponding sides are congruent after the rotation and proportional after the dilation.
B. Corresponding sides are proportional after the rotation, but not after the dilation.
C. Corresponding angles are congruent after the dilation, but not after the rotation.
D. Corresponding angles are congruent after the rotation, but not after the dilation.

Answer 1

Answer: A. Corresponding sides are congruent after the rotation and proportional after the dilation.

Step-by-step explanation: Took the test and it was correct :)

Answer 2

Answer: The correct answer is:

B. Corresponding sides are proportional after the rotation, but not after the dilation.

Step-by-step explanation:

After a 90° clockwise rotation, the shape of triangle JKL changes, but the size of its sides remains proportional to the original triangle JKL.

After the dilation with a scale factor of 4, the sides of the triangle JKL are multiplied by 4, so the corresponding sides of the new triangle J''K''L'' are not proportional to the original triangle JKL. They are four times longer than the sides of the original triangle.

So, the correct answer is option B. Corresponding sides are proportional after the rotation, but not after the dilation.