Pre-Calculus Homework Solutions 96

Pre-Calculus Homework Solutions 96 - Pages 204–206...

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Unformatted text preview: Pages 204–206 Practice and Apply 14. Given: AE FC, AB BC, BE Prove: AFB CEB ¬ [ 7 ( 3)]2 (4 2)2 ¬ 16 4 or 20 FG ¬ (4 2)2 (7 3)2 ¬ 4 16 or 20 KL ¬ [ 1 ( 7)]2 (9 4)2 ¬ 36 25 or 61 GH ¬ (9 4)2 (1 7)2 ¬ 25 36 or 61 JL ¬ [ 1 ( 3)]2 (9 2)2 ¬ 4 49 or 53 FH ¬ (9 2)2 (1 3)2 ¬ 49 4 or 53 Each pair of corresponding sides has the same measure so they are congruent. JKL FGH by SSS. 11. JK ¬ [ 2 ( 1)]2 ( 2 1)2 ¬ 1 9 or 10 FG ¬ (3 2)2 [ 2 ( 1)]2 ¬ 1 1 or 2 KL ¬ [ 5 ( 2)]2 [ 1 ( 2)]2 ¬ 9 1 or 10 GH ¬ (2 3)2 [5 ( 2)]2 ¬ 1 49 or 50 JL ¬ [ 5 ( 1)]2 ( 1 1)2 ¬ 16 4 or 20 FH ¬ (2 2)2 [5 ( 1)]2 ¬ 0 36 or 6 The corresponding sides are not congruent, so JKL is not congruent to FGH. 12. JK ¬ [0 ( 1)]2 [6 ( 1)]2 ¬ 1 49 or 50 FG ¬ (5 3)2 (3 1)2 ¬ 4 4 or 8 KL ¬ (2 0)2 (3 6)2 ¬ 4 9 or 13 GH ¬ (8 5)2 (1 3)2 ¬ 9 4 or 13 JL ¬ [2 ( 1)]2 [3 ( 1)]2 ¬ 9 16 or 5 FH ¬ (8 3)2 (1 1)2 ¬ 25 0 or 5 The corresponding sides are not congruent, so JKL is not congruent to FGH. 13. JK ¬ (4 3)2 (6 9)2 ¬ 1 9 or 10 FG ¬ (2 1)2 (4 7)2 ¬ 1 9 or 10 KL ¬ (1 4)2 (5 6)2 ¬ 9 1 or 10 GH ¬ ( 1 2)2 (3 4)2 ¬ 9 1 or 10 JL ¬ (1 3)2 (5 9)2 ¬ 4 16 or 20 FH ¬ ( 1 1)2 (3 7)2 ¬ 4 16 or 20 The corresponding sides have the same measure so they are congruent. JKL FGH by SSS. 10. JK B C F A E Proof: AE FC Given AE FC Def. of AE seg. EF EF FC EF Addition Prop. AE EF Reflexive Prop. EC AE EF AF EF FC EC Substitution Seg. Addition Post. AF EC Def. of seg. AFB AB BC BE BF CEB SSS Given 15. Given: RQ TQ YQ WQ RQY WQT Prove: QWT QYR R Y Q W T Proof: RQ TQ YQ WQ Given RQY WQT Given QWT QYR SAS 16. Given: CDE is an isosceles triangle. G is the midpoint of CE. Prove: CDG EDG D C Proof: G E Statements Reasons 1. 1. Given CDE is an isosceles triangle, G is the midpoint of CE. 2. CD DE 2. Def. of isos. 3. CG GE 3. Midpoint Th. 4. DG DG 5. CDG EDG Chapter 4 BF 98 4. Reflexive Property 5. SSS ...
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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