7.7-7.8 - Copy - 7-7 Hinge Theorem A Theorem 7-9 a If two...

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Unformatted text preview: 7-7 Hinge Theorem A) Theorem 7-9 a. If two sides on one triangle are congruent, respectively, to two sides of a second triangle and the included angle of the first triangle is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second b. If i. AB = DE, AC = DF and A D c. Then i. BC EF B) Theorem 7-10 (The Converse Hinge Theorem) a. If two sides of one triangle are congruent respectively to two sides of a second triangle and the third side of the first triangle is longer than the third side of the second, the included angle of the first triangle is larger than the included angle of the second. b. If i. AB = DE, AC = DF and BC EF c. Then i. A D d. Example i. ABC and AD the median to side BC , mCDA = 65 ii. Prove: C B 1) ABC and AD the median to side BC , 1) Given 2) 2) 3) 3) 4) 4) 5) 5) 6) 6) 7) 7) C) Altitude of a triangle a. An altitude of a triangle is a perpendicular segment from a vertex of the triangle to the line containing the opposite side b. Acute Right Obtuse c. Two more uses of the word altitude i. 1) Sometimes the length of an altitude is also called an altitude 1. If the distance BD is 6, we may say that the altitude from B is 6. ii. 2) A line containing an altitude is also called an altitude. ...
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State.

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7.7-7.8 - Copy - 7-7 Hinge Theorem A Theorem 7-9 a If two...

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