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Section 6.5 Prove Triangles Similar by SSS and SAS Goal Use the SSS and SAS Similarity Theorems. Theorem 6.2: Side-Side-Side (SSS) Similarity Theorem If the corresponding side lengths of two triangles are PROPORTIONAL, then the triangles are similar. If AB BC CA , then ABC RST RS ST TR Example 1: Is either DEF or GHJ similar to ABC? Compare ABC and DEF by finding ratios of corresponding side lengths. Compare ABC and GHJ by finding ratios of corresponding side lengths. Example 2: Find the value of x that makes ABC ~ DEF. Checkpoint: 1. Find the value of x that makes ∆ABC ~ ∆DEF. Section 6.5 Prove Triangles Similar by SSS and SAS Theorem 6.3: Side-Angle-Side (SAS) Similarity Theorem If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are PROPORTIONAL, then the triangles are similar. If X M, and ZX XY , then XYZ MNP. PM MN Example 3: Find the value of x that makes ∆POR ~ ∆TUV Example 4: Tell what method you would use to show that the triangles are similar. Checkpoint 2. Find the value of x that makes the triangles similar. 3. Explain how to show JKL ~ LKM.