Name ——————————————————————— Date ———————————— Practice A LESSON 1.2 For use with pages 9–14 1. A 2. C B 3. E D cm LESSON 1.2 Use a ruler to measure the length of the segment to the nearest tenth of a centimeter. Then draw a segment with the same length. F cm cm Find the indicated length. 4. Find GJ. 5. Find KM. 8 G 8 H J 6. Find NQ. 24 K L 37 2 18 5 7. Find ST. 12 N 4 P M 8. Find UV. 37 18 R 17 56 T S U 45 V W Plot the given points in a coordinate plane. Then determine whether the line segments named are congruent. 9. A(2, 2), B(2, 21), C(0, 22), D(3, 22); 10. E(23, 2), F(1, 2), G(2, 3), H(2, 22); } } AB and CD } } EF and GH Congruent? Congruent? Copyright © Holt McDougal Math. All rights reserved. y y E A 1 1 x 1 1 x Use the number line to find the indicated distance. J K 29 28 27 26 25 24 23 22 21 11. JK 14. JL 23 to 28 L 0 1 M 2 3 4 5 6 7 8 9 12. KL 13. LM 15. JM 16. KM Geometry IDEA! Works 3 Name ——————————————————————— Practice A LESSON LESSON 1.2 1.2 Date ———————————— continued For use with pages 9–14 In the diagram, points P, Q, R, and S are collinear, PS 5 46, PR 5 18, and PQ 5 QR. Find the indicated length. Mark the lengths on the diagram. 17. PQ P 18. QR R 19. QS 20. RS S Find the indicated length. 21. Find LM. 22. Find VW. 18 L x 32 2x M 23. Find YZ. T N 3x V 27 x18 W X 2x 1 3 3x 2 1 Y Z x 1 2x 5 18 } Point B is between A and C on AC. Use the given information to write an equation in terms of x. Solve the equation. Then find AB and BC. 24. AB 5 3x ;x5 BC 5 x AC 5 20 25. AB 5 2x 2 5 AB 5 BC 5 ;x5 BC 5 6x AC 5 27 Make a Sketch. AB 5 BC 5 Then measure the length of the 1 antenna to the nearest }8 inch. in. 27. Highway You are traveling on a highway starting at point A. After you have traveled 63 miles (point B), you see a sign that says it is 87 miles to your destination (point C). a. Find the total distance you will travel to get to mi your destination. b. You are traveling at a constant speed of 60 miles per hour. How many hours will h the entire trip take? d t 5 }r 4 Geometry IDEA! Works A 63 mi B 87 mi C Copyright © Holt McDougal Math. All rights reserved. in. Cellular LTD 10:10 pm 1 to the nearest }8 inch. Tues Measure the length of the cellular phone (without the antenna) W 26. Cellular Phone Answers Lesson 1.1 Lesson 1.3 Practice A Practice A 1. @##$ BA and line h } 3. plane ABE 4. point E 5. DC ###$ 6. ###$ BA, ###$ BC, and ###$ BD 7. ###$ BC and BD 1 4. 15.9 cm 5. 28 ft 6. 22 } in. 4 8. Sample answer: 7. 9 8. 15 9. 118 10. 86 11. (3, 4) 9. Sample answer: ANSWERS 3 1 1. 12 cm 2. 16 } in. 3. 12 } in. 2 8 2. points B, C, and D 12. (4, 5) 13. (6, 1) 14. (11, 21) 15. 6.4 16. 8.6 17. 4; 0 18. 10; 21 10. Sample answer: 11. Sample answer: 19. JK < 4.1, LM < 4.1; congruent 20. PQ < 5.8, RS 5 5; not congruent 21. about 9.8 yd; about 9.4 yd; about 18.4 yd 12. yes 13. yes 14. no 15. yes 16. point J 17. point J 18. @###$ MN 19. ###$ JK and ###$ JL , ###$ JM and ###$ JN , ###$ JP and ###$ JQ 20. ###$ XZ , ###$ ZX , ###$ YZ , ###$ ZY , ###$ ZV , ###$ ZW, ###$ ###$ VW, and WV 21. ###$ ZX and ###$ ZY , ###$ ZV and ###$ ZW 22. @##$ XY and @##$ VW 23. Sample answer: D A B C 24. yes 25. no 26. intersecting lines 27. intersecting planes 28. All four legs are not Copyright © Holt McDougal Math. All rights reserved. of equal length so the bottom of the legs are not coplanar. Problem Solving Workshop: Mixed Problem Solving 1. a. 14 mi b. about 11.4 mi c. about 2.6 mi 2. a. A B C b. 1125 ft 3. 2 4. EDC, DCF, CFE, FED; The intersection of planes ABC @##$. 5. a. 82 mi b. about 1.5 h and BGF is BC c. Yes; The total time of the trip is 1.5 1 3(1.75) 5 6.75 hours which is less than 8 hours. Quiz 1 1. M Lesson 1.2 Practice A 1. 3.0 cm; Check drawings. 2. 1.5 cm; Check drawings. 3. 2.4 cm; Check drawings. 4. 16 5. 36 6. 21 7. 19 8. 11 9. 10. y 2. 9 3. 6 4. 12 5. 12 6. 15 7. 21 8. midpoint: (1, 5); ST 5 10 y G A E 1 1 C x B D 1 Lesson 1.4 F x 1 H congruent not congruent 11. 5 12. 4 13. 6 14. 9 15. 15 16. 10 17. 9; Check drawings 18. 9; Check drawings 19. 37; Check drawings 20. 28; Check drawings 21. 6 22. 14 23. 14 24. 3x 1 x 5 20; x 5 5; AB 5 15; BC 5 5 25. 2x 2 5 1 6x 5 27; x 5 4; AB 5 3; BC 5 24 Practice A 1. ∠ DEF, ∠ FED, and ∠ E; vertex: E; sides: ###$ ED and ###$ EF 2. ∠ JKL, ∠ LKJ, and ∠ K; vertex: K; sides: ###$ KJ and ###$ KL 3. ∠ QVS, ∠ SVQ, and ∠ V; vertex: V; sides: ###$ VQ and ###$ VS 4. obtuse 5. acute 6. right 7. 308; acute 8. 508; acute 9. ∠ JKL; obtuse 10. ∠ KLJ; acute 3 3 1 26. 3 } in.; } in. 27. a. 150 mi b. 2 } h 8 4 2 Geometry IDEA! Works A1
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