Question

Given: AB = 3, BC = 6, CA = 4

GH = 30, HJ = 20, JG = 15

Complete the similarity statement if the triangles constructed with the side lengths given above are similar

triangle ABC ~ triangle _______

Answer 1

triangle ABC ~ triangle GHJ

Explanation:

The similarity statement compares the two triangles based on their corresponding sides. If two triangles have proportional corresponding sides, then they are similar.

In this case, triangle ABC and triangle GHJ have corresponding sides that are proportional. Specifically, side AB is half the length of side GH, side BC is three-fifths the length of side HJ, and side AC is two-fifths the length of side GJ. Therefore, by the definition of similarity, triangle ABC is similar to triangle GHJ.