Geometry NameChapter 3 Review Parallel & Perpendicular Lines Block Date

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Geometry Name________________________________________ Chapter 3 Review Parallel & Perpendicular Lines Block Date____________________ Think of each segment in the diagram as part of a line. Fill in the blank with parallel, skew, or perpendicular. 1. DE and CF are . 2. AD , BE , and are . 3. Plane ABC and plane DEF are . 4. and AB are . Think of each segment in the diagram as part of a line. There may be more than one right answer. 5. Name a line perpendicular to HD . 6. Name a plane parallel to DCH. 7. Name a line parallel to BC . 8. Name a line skew to FG . Complete the statement with corresponding, alternate interior, alternate exterior, or consecutive interior. 9. 4and 8 are angles. 10. 2and 6 are angles. 11. 1and 8 are angles. 12. 7and 2 are angles. 13. 4and 5 are angles. 14. 5and 1 are angles. 16. Given that m1 32 , find each measure. Tell which postulate or theorem you use. a. m2 b. m3 c. m4 d. m5 17. Use properties of parallel lines to find the value of x. a. b. c. d. 18. Prove the statement from the given information. 19. Explain how you would show that kl a. Prove: lm b. Prove: no 20. Complete the following proof by providing the reasons. Given: m1 53 m2 127 Prove: jk Statements Reasons m1 53 1. 1. m2 127 2. m3 m2 180 2. 3. m3127 180 3. 4. m3 53 4. 5. m3 m1 5. 6. 3 1 6. 7. jk 7. 21. Determine which rays are parallel. a. Is PN parallel to SR ? b. Is PO parallel to SQ ? 22. Determine which lines, if any must be parallel. 23. In the triangles below, find the missing angles. a. b. c. d. 24. Find the slope of each line. Are the lines parallel? 25. Write an equation of the line that passes through the given point P and is parallel to the line with the given equation. 2 a. P (10, 3), yx12 b. P (-1, 2), yx2 3 26. Decide whether PQ and QR are perpendicular. 27. Decide whether the lines are perpendicular Line l: 2xy 3 4 Line k: 3xy 2 3 28. Line j is perpendicular to the line with the given equation and line j passes through P. Write an equation of line j. 16 a. 7yx 4 13, P(-2, 6) b. yx , P(-1, 2) 55 29. In the figure, 5 is complementary to 12 , and m9 148 . Find the measure of each numbered angle in the figure. m5 m6 m7 m8 m9 m10 m11 m12 Use the figure to determine whether each statement is true or false. 30) DCB and DCH are supplementary. __________ 31) DH EH __________ 32) HE AF __________ 33) DCB and ABC are complementary. __________ 34. Given: a/ / b , c/ / d Prove: 13 Statements Reasons 1. ab// 1. 2. 1 4 . 2. 3. cd// 3. 4. 4 3 4. 5. 13 5. 35. 36. .

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Geometry Name______Chapter 3 Review Parallel & Perpendicular Lines Block Date______

Geometry NameChapter 3 Review Parallel & Perpendicular Lines Block Date