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Proving Triangles Similar

Angle-Angle (AA~) Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. D A E F B C

Side-Side-Side (SSS~) Similarity THM If the corresponding sides of two triangles are proportional, then the triangles are similar. D A E F B C

Side-Angle-Side (SAS~) Similarity THM If the lengths of two sides are proportional and the included angle is congruent, then the triangles are similar D A F E B C

Ex. Determine whether the triangles are similar Ex. Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement. Yes, AA~ M G 68° 43° 68° 43° H F L K V NO Y 7 3 5 Z X W 11 U

SAS~ 12 4 5 15 Prove that RST~ PSQ 1. Two sides are proportional 2. Included angle is congruent SAS~ R S T P Q 12 4 5 15