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7.3 Proving Triangles Similar.notebook February 16, 2017 2/11: Warm Up 1. Are the polygons similar? Explain. If so, write a similarity statement. 1 7.3 Proving Triangles Similar.notebook February 16, 2017 7.3: Proving Triangles are Similar Date: 2/11 Postulate 71: AngleAngle Similarity ( __________ ) Postulate “If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar." 2 7.3 Proving Triangles Similar.notebook February 16, 2017 Ex 1). Are the two figure similar? How do you know? a) b) 3 7.3 Proving Triangles Similar.notebook February 16, 2017 Theorem 71: SideAngleSide Similarity ( ___________ ) Theorem “If an angle of one triangle is congruent to an angle of a second triangle, and the sides that include the two angles are proportional then the triangles are similar.” 4 7.3 Proving Triangles Similar.notebook February 16, 2017 Theorem 72: SideSideSide Similarity ( ____________ ) Theorem “If the corresponding sides of two triangles are proportional then the triangles are similar.” 5 7.3 Proving Triangles Similar.notebook February 16, 2017 Ex 2). Are the triangles similar? Explain why. And if so, write a similar statement. a) b) c) 6 7.3 Proving Triangles Similar.notebook February 16, 2017 Ex 4). Benjamin places a mirror 40 ft from the base of an oak tree. When he stands at a distance of 5 ft from the mirror, he can see the top of the tree in the reflection. If Benjamin is 5 ft 8 in. tall, what is the height of the oak tree? 7 7.3 Proving Triangles Similar.notebook February 16, 2017 Homework: pg. 479 #1 – 3, 5, 7 – 10, 15, 16, 20, 21 8