Question

Make a two-column proof showing statements and reasons to prove that triangle PRQ is similar to triangle PQS.

Answer 1

G: Triangles PRQ and PQS; m<PQS = m<PRQ = 30.
P: Triangle PRQ is similar to Triangle PQS

1. m<PQS = m<PRQ = 30 --> Given
2. <PQS is congruent to <PRQ --> Definition of Congruent Angles
3. <P is congruent to <P --> Reflexive Property of Congruence
4. Triangle PRQ is similar to Triangle PQS --> Angle-Angle Triangle Similarity Postulate