Question

Kenneth graphed the triangle A'B'C' by dilating triangle ABC. Which of the following must be true?

A. The ratios of corresponding sides of ABC and A'B'C' are proportional
B. The area of A'B'C' is greater than the area of ABC
C. Triangle ABC is congruent to triangle A'B'C'
D. Triangle ABC is isosceles triangle

Answer 1

A

Step-by-step explanation:

They are proportional because when you dilate a triangle, you just multiply all the sides by the same number. AB/A'B' = BC/B'C' = AC/A'C'

Answer 2

Answer: A. The ratios of corresponding sides of ABC and A'B'C' are proportional

Step-by-step explanation:

Given : Kenneth graphed the triangle A'B'C' by dilating triangle ABC.

We know that a dilation is a transformation that creates images of same shape but different size.

It creates similar shapes and the ratio of the corresponding side-lengths of the similar shape is proportional.

Therefore, the ratios of corresponding sides of ABC and A'B'C' are proportional.