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7.3 similar triangles.notebook 1/10/17 Warm Up Problem A movie theater screen has a width of 45 ft and a length of 25 ft. Which TV screen is a similar rectangle to the movie screen? 27 in 20 in 36 in 36 in 7.3 similar triangles.notebook Section 7.3 - Proving Triangles Similar Goals: Identify similar triangles Use similar triangles to solve problems Are these similar triangles? 7.5 5 10 To tell if triangles are similar, you do not need to check to see if all corresponding angles are congruent and all corresponding sides proportional. There are 3 shortcuts you can use to determine similarity: AA~, SAS~, and SSS~ 7.3 similar triangles.notebook Proving Triangles Similar - Shortcuts Postulate 71 Angle Angle Similarity (AA~) If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. 7.3 similar triangles.notebook Are the triangles similar by AA? Explain why or why not. N F S o 45 R 70 M T o L G H D A C B E K J 7.3 similar triangles.notebook Proving Triangles Similar - Shortcuts Theorem 71 Side Angle Side Similarity (SAS~) If one angle of one triangle is congruent to one angle of another triangle and the sides including the two angles are proportional, then the triangles are similar. L H 10 5 J F G 3 K 6 7.3 similar triangles.notebook Proving Triangles Similar - Shortcuts Theorem 72 Side Side Side Similarity (SSS~) If the corresponding sides of two triangles are proportional, then the triangles are similar. Y B 4 3 A 5 12 9 C X 15 Z 7.3 similar triangles.notebook Can each pair of triangles be proven similar by SAS or SSS? Write a similarity statement if they are similar. 7.3 similar triangles.notebook Assignment: pg. 455 (1-3) (7-12) (18-21)