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SB En Geom 73 Completed.notebook Lesson 73 October 30, 2012 Proving Triangles Similar Postulate 71 AngleAngle Similarity (AA~) Postulate If two angles of one triangle are congruent two to angles of another triangle, then the triangles are similar. P T ΔTRS ~ ΔPLM SL R M Dec 37:38 AM Expl 1. Explain why the triangles are similar. W 45o 45o R S V B Ckpt 1. Do you have enough information to find a similarity ratio? Explain. Dec 37:42 AM 1 SB En Geom 73 Completed.notebook Thm 71 October 30, 2012 SideAngleSide Similarity (SAS~) Thm. If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar. Thm 72 SideSideSide Similarity (SSS~) Thm. If the corresponding sides of two triangles are proportional, then the triangles are similar. Dec 37:45 AM Expl 2. Are the triangles similar? If so, write a similarity statement. Z P 8 6 Q 3 R X 4 Y Ckpt 2. Explain why the triangles must be similar. Write a similarity statement. G 9 B A 8 8 6 6 C E 12 F Dec 37:48 AM 2 SB En Geom 73 Completed.notebook October 30, 2012 Extra 1. Are the triangles similar? If so, write the similarity statement. M T AB MX K A 58 58o B o X Extra 2. Are the triangles similar? If so, write the similarity statement. W 24 Z 18 V 12 36 X Y Dec 37:52 AM Expl 3. Find the missing side. A 12 10 B C 16 A) 10 24 D B) 15 C) 32 18 E Ckpt 3. Find x. D) Not similar. 12 6 x 8 Dec 38:17 AM 3 SB En Geom 73 Completed.notebook October 30, 2012 indirect measurement using similar figures to find a difficult measurement Expl. 4 Find x, the height of the geyser. x 6 7 40.5 Ckpt 4. Find the height of the cactus. 6 x 4 ft 9 ft Dec 38:21 AM Homework Lesson 7-3 2-38E, 45, 46 Dec 38:24 AM 4