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PROVING TRIANGLE SIMILARITY USING SAS AND SSS SIMILARITY ~adapted from Walch Education SIDE-ANGLE-SIDE (SAS) SIMILARIT Y STATEMENT If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and the included angles are congruent, then the triangles are similar. SIDE-SIDE-SIDE (SSS) SIMILARIT Y STATEMENT If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar. PROOFS • A proof is a set of justified statements organized to form a convincing argument that a given statement is true. • Definitions, algebraic properties, and previously proven statements can be used to prove a given statement. There are several types of proofs, such as paragraph proofs, two-column proofs, and flow diagrams. Every good proof includes step-by-step statements that support your reasoning PRACTICE # 1 According to the diagram Compare the side lengths: If the triangles are similar, then the corresponding sides are proportional. AB EF = 6 4 = 3 AC 2 ED = 10.5 7 = The side lengths are proportional. by the Side-Angle-Side (SAS) Similarity Statement. 3 2 Determine whether the triangles are similar. Explain your reasoning. THANKS FOR WATCHING! ~ Dr. Dambreville