Question

Determine whether the triangles can be proved similar. If they are similar, write a similarity statement and explain how you know they are similar. If they are not similar, explain why.

Answer 1

Explanation:

a. If two angles of one triangle are congruent to two angles of another triangle, then the triangle are similar.

The ORDER matters in the similarity statement. The same measures must go in the same order.

∧ABC ≈ ∧PQR Angle-Angle Similarity Postulate

b. Set up the ratios, then reduce to see if they all reduce to the same fraction.

3/18 ; 4/24 ; 5/30

1/6 ; 1/6 ; 1/6

1/6 = 1/6 = 1/6

The sides are proportional so the triangles are proportional.

∧ ABC ≈ ∧ DEF Side-Side-Side Similarity Postulate