4.6 Isos, =lat, & rt triangles

4.6 Isos, =lat, & rt triangles - Hypotenuse-Leg...

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4.6 Isosceles, Equilateral and Right s Pg 236
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Isosceles triangle’s special parts A is the vertex angle (opposite the base) B and C are base angles (adjacent to the base) A B C Leg Base
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Thm 4.6 Base s thm If 2 sides of a are 2245 , the the s opposite them are 2245 .( the base s of an isosceles are 2245 ) A B C If seg AB 2245 seg AC, then B 2245 ∠ C ) (
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Thm 4.7 Converse of Base s thm If 2 s of a are 2245 , the sides opposite them are 2245 . ) ( A B C If B 2245 C, then seg AB 2245 seg AC
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Corollary to the base s thm If a triangle is equilateral, then it is equiangular. A B C If seg AB 2245 seg BC 2245 seg CA, then A 2245 ∠ B 2245 C
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Corollary to converse of the base angles thm If a triangle is equiangular, then it is also equilateral. ) ( A B C If A 2245 B 2245 C, then seg AB 2245 seg BC 2245 seg CA
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Example: find x and y X=60 Y=30 X Y 120
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Thm 4.8
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Unformatted text preview: Hypotenuse-Leg (HL) 2245 thm If the hypotenuse and a leg of one right are 2245 to the hypotenuse and leg of another right , then the s are 2245 . _ _ _ A B C X Y Z If seg AC 2245 seg XZ and seg BC 2245 seg YZ, then ABC 2245 XYZ Given: D is the midpt of seg CE, BCD and FED are rt s and seg BD 2245 seg FD. Prove: BCD 2245 FED B C D F E Proof Statements 1. D is the midpt of seg CE, BCD and <FED are rt s and seg BD 2245 to seg FD 2. Seg CD 2245 seg ED 1. BCD 2245 FED Reasons 1. Given 1. Def of a midpt 2. HL thm Are the 2 triangles 2245 ? ) ( ) ( Yes, ASA or AAS Find x and y. 75 x x y 2x + 75=180 2x=105 x=52.5 y=75 90 x y 60 x=60 y=30 Find x. ) ( )) (( 56ft 8xft 56=8x 7=x Assignment Assignment...
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This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.

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4.6 Isos, =lat, & rt triangles - Hypotenuse-Leg...

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