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Geometry Chapter 3 Review Fill in the blank with parallel, perpendicular, or skew. 1. UT and WT are ______________________ 2. RS and VW are ______________________ R S T U 3. TU and WX are ______________________ 4. plane VWT and plane RSX are ___________ 5. TW and WX are _____________________ X W V Fill in the blank with corresponding, alternate interior, alternate exterior, or same side interior. 6. 6 and 10 are ______________________ 7. 7 and 9 are _______________________ 8. 8 and 9 are _______________________ 9. 12 and 8 are ______________________ 10. 5 and 11 are ______________________ 11. 8 and 10 are ______________________ 6 7 5 8 10 9 11 12 For questions 12 – 14, assume a || b. 12. Find m 1. _______________ 13. Solve for x._______________ a b b a (2 x + 1) 151 (2 x) 138 1 14. Solve for x._______________ 15. If a b, solve for x.________________ a 81 a b 27 (2 x - 9 ) (7 x + 15) 16. b Is it possible to prove the lines ||? State the theorem or postulate that justifies your reasoning. a.) b) c.) 124 37 130 56 50 17. 53 Find the value of x that makes p || q. Justify your reasoning with a theorem or postulate? a.) b.) (3 x+17) (3 x+24) (4 x-22 ) 18. x Is a || b? Justify your reasoning with a theorem or postulate. a 42 42 143 37 c b 19. If a || b, find x. a x 60 b Calculate the slope of the line that passes through the labeled points on the graph. 20. 21. A B B A Determine if the following pairs of lines are parallel, perpendicular, or neither. 22. y = -5x – 2 23. y = 5x + 2 25. 2x – 4y = 3 4x – 8y = 7 26. 1 x–1 3 y = -3x + 2 y= 5 x+8 6 6 y= x–4 5 y= 24. 2x – 5y = 8 5x – 2y = 2 27. x – 2y = 12 3x – 6y = 10 28. Write the equation of a line parallel to the given line and passing through the given point y = 3x + 6 29. Write the equation of a line parallel to the given line and with the given y-intercept. y= 30. 4 1 x3 2 y-intercept = -4 Write the equation of a line perpendicular to the given line and passing through the given point. y= 31. (-2, 5) 2 x–1 3 (8, -1) Write the equation of a line perpendicular to the given line and with the given y-intercept. y = 3x – 4 y-intercept = 1 3