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Proving Triangles Similar Section 8.3 AA Similarity Recall: If two angles of one triangle are congruent to the corresponding angles of another triangle, then the triangles are similar. C A E B D SAS Similarity • If two sides of one triangle are proportional to the corresponding sides of another triangle and the included angles are congruent, then the triangles are similar. 12 16 4 3 SSS Similarity • If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar. 9.6 18 3.2 6 4.75 14.25 Is either △PQR or △STU similar to △VWX? Find the value of x that makes △XYZ ∼ △HJK. Determine whether each pair of triangles is similar. If similarity exists, write a mathematical sentence relating the two triangles. Give a reason for your answer. E A 15 12 8 75⁰ I G 75⁰ J 10 F Determine whether each pair of triangles is similar. If similarity exists, write a mathematical sentence relating the two triangles. Give a reason for your answer. 2 M L 8 K 12 P 3 N Lesson 8.3 p.441; 3-11, 13-20