Question

Triangle ABC was dilated to form triangle A’B’C’. Which of the following must be true? The ratios of the corresponding sides of triangle ABC and triangle A’B’C’ are proportional. The area of triangle A’B’C’ is greater than the area of triangle ABC. Triangle ABC is congruent to triangle A’B’C’. Triangle ABC and triangle A’B’C’ perimeters are proportional.

Answer 1

Explanation:

Answer 2

• The ratios of the corresponding sides of triangle ABC and triangle A’B’C’ are proportional.
• Triangle ABC and triangle A’B’C’ perimeters are proportional.

Explanation:

Similar polygons have corresponding sides proportional, hence their perimeters are proportional. If one is created from the other by a dilation factor other than 1, they are not congruent. The dilation factor may be less than 1, so the area of the dilated polygon may be smaller than the area of the original.