Pre-Calculus Homework Solutions 166

Pre-Calculus Homework Solutions 166 - 5 BC. AT is not an...

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Unformatted text preview: 5 BC. AT is not an altitude. 60. 9 15 2 , 2 11 4 24 2, 8 61. 0 2 7 , 10 P T 10(PT) ( 12) 2 5. A E, B AB ED BC AF DC EF 5 .5 2. no; 66 5.5 and 3. FC FC 6.5 5.5 D B and AED by AA Similarity. DE BE 3x 2 6 15(3x 45x 3, 2 CEB, so ADE m m A B D R, so 3. Given three or more parallel lines intersecting two transversals, Corollary 6.1 states that the parts of the transversals are proportional. Corollary 6.2 states that if the parts of one transversal are congruent, then the parts of every transversal are congruent. QR ¬ 1010 5 25(10) ¬(10 5)(TS) 250 ¬15(TS) 50 ¬TS 3 (SR)2 (TR)2 ¬(TS)2 Chapter 6 n C ¬ SR x B D 4. ST QP, so TSR PQR. R PQR TSR by AA Similarity. x2 n C ¬ 10 15 x2 distance on map (cm) actual distance (mi) 29.2 ¬x Check for Understanding A ¬ AD CB 100 ¬ 20 3 1. Sample answer: If a line intersects two sides of a triangle and separates sides into corresponding segments of proportional lengths, then it is parallel to the third side. 2. Sample answer: ¬6(10) ¬60 ¬90 ¬2 x2 ¬ 200 3 Parallel Lines and Proportional Parts Pages 311–312 CBE ¬ 10 15 102 ¬ 600 3 5 6 15(AE) ¬12(10) 15(AE) ¬120 AE ¬8 DE 3x 2 3(2) 2 or 4 PQ TS 25 TS ¬ 40 (15) 3 scale on map (cm) distance on map (mi) 1.5 100 6-4 4 and ¬ AD CB 2) 30 45x x AE CE AE 12 D, 1 1 40 3 400 3 1.5x ¬100(29.2) 1.5x ¬2920 x ¬1947 The cities are about 1947 miles apart. ¬ 7 , 25 2 ¬(3.5, 2.5) Page 306 Practice Quiz 1 1. yes; ¬ 15 10 PT ¬ 22 , 28 ¬( 1, 4) ( 13) 2 ¬ 1010 5 10(PT) ¬ 11 , 26 22 ¬(5.5, 13) 2 ¬ SR 40 3 58. p: you are at least 54 inches tall q: you may ride the roller coaster Adam is 5 feet 8 inches tall, or 5 12 8 68 inches, so he can ride the roller coaster by the Law of Detachment. 59. QR PR TR PT x x 40 PT 3 ( 9) 14 7 The slope of AT is 7 ( 3) 10 or 5 . 37 1, so AT is not perpendicular to 5 4. LW TS, so by the Triangle Proportionality L Theorem, RT L measures. 2 ¬ 50 3 ¬ 2500 9 ¬ 1600 9 ¬ 40 3 5 5 ¬ R6 W 4(RW) 4(RW) RW ¬5(6) ¬30 ¬7.5 9 168 WS RW . Substitute the known ...
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