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Lesson 63 Similar Triangles with answers.notebook February 22, 2013 EQ: How will we identify similar triangles and use them to solve problems? Questions/Main Ideas Lesson 6-3 Similar Triangles Postulate 6.1 Angle-Angle (AA) Similarity If the two angles of one triangle are congruent to the two angles of another triangle, then the triangles are similar. Questions/Main IdeasTheorem 6.1 Side-Side-Side (SSS) Similarity If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar. Lesson 63 Similar Triangles with answers.notebook February 22, 2013 Questions/Main Ideas Theorem 6.2 Side-Angle-Side (SAS) Similarity 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. Questions/Main Ideas Example 1 In the figure, AB is parallel to DC, BE = 27, DE = 45, AE = 21, and CE = 35. Determine which triangles in the figure are similar. Lesson 63 Similar Triangles with answers.notebook February 22, 2013 Questions/Main IdeasTheorem 6.3 Similarity of triangles is reflexive, symmetric, and transitive. Questions/Main IdeasExample 2 Given RS // UT, RS = 4, RQ = x + 3, QT = 2x + 10, UT = 10, find RQ and QT. Lesson 63 Similar Triangles with answers.notebook February 22, 2013 Questions/Main Ideas Example 3 Josh wanted to measure the height of the Sears Tower in Chicago. He used a 12-foot light pole and measured its shadow at 1 P.M. The length of the shadow was 2 feet. Then he measured the length of the Sears Tower's shadow and it was 242 at that time. What is the height of the Sears Tower? Summary Lesson 63 Similar Triangles with answers.notebook February 22, 2013 Lesson 63 Similar Triangles with answers.notebook February 22, 2013