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Name Class Date 7.2Practice Form G Points, Lines, and Planes < > Use the figure below for Exercises 1–8. Note that RN pierces the plane at N. It is not coplanar with V. R M A N X C V 1. Name two segments shown in the figure. Answers may vary. Sample: NM and NX < > < > 2. What is the intersection of CM and RN? point N 3. Name three collinear points. Answers may vary. Sample: points C, N, and M 4. What are two other ways to name plane V? Answers may vary. Sample: plane CNX and AXM 5. Are points R, N, M, and X coplanar? no > > 6. Name two rays shown in the figure. Answers may vary. Sample: NM and NC > 7. Name the pair of opposite rays with endpoint N. Answers may vary. Sample: NM > 8. How many lines are shown in the drawing? 3 and NC For Exercises 9–14, determine whether each statement is always, sometimes, or never true. > > 9. GH and HG are the same ray. never > > 10. JI and JL are opposite rays. sometimes 11. A plane contains only three points. never 12. Three noncollinear points are contained in only one plane. always < > 13. If EG lies in plane X, point G lies in plane X. always 14. If three points are coplanar, they are collinear. sometimes 15. Reasoning Is it possible for one ray to be shorter in length than another? Explain. It is not possible. Each ray has an endpoint, but each continues on in one direction without end. They are the same length because they are both infinitely long. < > 16. Open-Ended Draw a figure of two planes that intersect in ST. Sample: S T Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. Name Class Date Practice (continued) Form G Points, Lines, and Planes 17. Draw a figure to fit each description. a. Through any two points there is exactly one line. Sample answer: b. Two distinct lines can intersect in only one point. Sample answer: > > 18. Reasoning Point F lies on EG and point M lies on EN. If F, E, and M are collinear, what must be true of these rays? They are either opposite rays or identical rays. 19. Writing What other terms or phrases mean the same as postulate? Answers may vary. Samples: axiom, statement of fact, assumption, statement of truth 20. How many segments can be named from the figure at the right? 6 F G D E Use the figure at the right for Exercises 21–29. A B Name the intersection of each pair of planes or lines. < > 21. planes ABP and BCD AB O P < > < > D C 22. RQ and RO point R < > 23. planes ADR and DCQ DR < > 24. planes BCD and BCQ BC R Q < > < > 25. OP and QP point P Name two planes that intersect in the given line. Answers may vary. Samples given: < > < > < > < > 26. RO 27. CQ 28. DA 29. BP ODR and OPR CQR and CQP OAD and BAD CBP and APB Coordinate Geometry Graph the points and state whether they are collinear. Check students’ graphs. 30. (0, 0), (4, 2), (6, 3) yes 31. (0, 0), (6, 0), (9, 0) yes 32. (-1, 1), (2, -2), (4, -3) no 33. (1, 2), (2, 3), (4, 5) yes 34. (-2, 0), (0, 4), (2, 0) no 35. (-4, -1), (-1, -2), (2, -3) yes Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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