Geometry Homework 3.1a & b Pages 132-133, and page 146 Geometry – pages 132-133 Think of each segment in the diagram as part of a line. Fill in the blank with parallel, skew, or perpendicular. G C A B H ↔ ↔ ↔ 10. DE, AB, and GC are parallel. ↔ ↔ ↔ ↔ D 11. DE and BE are perpendicular. 12. BE and GC are skew. 13. Plane GAD and plane CBE are parallel. F E Geometry – pages 132-133 Think of each segment in the diagram as part of a line. There may be more than one right answer. T X Q ↔ S U W R V ↔ ↔ ↔ 14. Name a line parallel to QR. UV, TS, or XW ↔ ↔ ↔ ↔ ↔ 15. Name a line perpendicular to QR. QU, QT, RV, or RS ↔ ↔ ↔ ↔ ↔ 16. Name a line skew to QR. TX, SW, UX, or VW 17. Name a plane parallel to plane QRS. UVW Geometry – pages 132-133 How many lines can be drawn that fit the description? ↔ 18. through point L parallel to JK 1 19. through point L perpendicular ↔ to JK 1 K L J 20. Philippe Petit sometimes uses a long pole to help him balance on the tightrope. Are the rope and the pole perpendicular, parallel, or skew? skew Geometry – pages 132-133 How many lines can be drawn that fit the description? K The End ↔ assignment of homework 18. through L parallel to JK 1 ↔ 19. through L perpendicular to JK lesson 3.1a. 1 L J 20. Philippe Petit sometimes uses a long pole to help him balance on the tightrope. Do the rope and the pole perpendicular, parallel, or skew? skew Geometry – pages 132-133 In Exercises 6-9, use the diagram at the right. 6. Name a pair of corresponding angles. This is 1 2 4 3 1 and 5, 4 and 8, 2 and 6, or Beginning 3The and 7 5 6 8 7 7. Name a pair of alternate interior angles. of homework assignment 3 and 5, or 4 and 6 lesson 3.1b. 8. Name a pair of alternate exterior angles. 1 and 7, or 2 and 8 9. Name a pair of consecutive interior angles. 3 and 6, or 4 and 5 Geometry – pages 132-133 Complete the statement with corresponding, alternate interior, alternate exterior, or consecutive interior. 21. 8 and 12 are corresponding s. 22. 9 and 14 are alternate exterior s. 23. 10 and 12 are consecutive interior s. 24. 11 and 12 are alternate interior s. 25. 8 and 15 are alternate exterior s. 26. 10 and 14 are corresponding s. 9 11 8 10 13 15 12 14 Geometry – pages 146 Using Parallel Lines Find m 1 and m 8. 2. Explain your reasoning. 9. 1 135 2 82 m 1 and m 2 = 135 Corresponding Postulate Vertical Theorem m 1 = 82 Corresponding Postulate m 2 = 98 1 and 2 form a linear pair Geometry – pages 146 Using Parallel Lines Find m 1 and m 8. 2. Explain your reasoning. That’s 9. All m 135 1 = 82 1 82 Corresponding Postulate Folks! m 1 and m 2 = 135 m 2 = 98 Corresponding Postulate 1 and 2 form a linear pair Vertical Theorem 2
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