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NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Chapter 3 Test, Form 2D SCORE ______________ For Questions 1 and 2, refer to the figure. 1. Identify the intersection of plane ABD and plane CDE. 1.______________________ 2. Name a segment skew to 2. ______________________ . Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles. 3. ∠ 5 and ∠ 13 3. ______________________ 4. ∠ 7 and ∠ 12 4. ______________________ 5. ∠ 9 and ∠ 16 5. ______________________ 6. Given a ║ b and m∠ 6 = 89, find m∠ 10. 6. ______________________ 7. Find the values of x and y given a ║ b, m∠ 8 = 4x + 10, m∠ 12 = 7x – 17, and m∠ 11 = 3y. 7. ______________________ Determine the slope of the line that contains the given points. 8. P(–5, 11), R(5, 7) 8. ______________________ 9. B(7, –1), G(14, 0) 9. ______________________ 10. U(–6, 9), V(–3, 8) 10. ______________________ For Questions 11-13, determine whether perpendicular, or neither. and are parallel, 11. B(1, –4), T(5, 12), M(–8, 3), V(–4, 2) 11. ______________________ 12. B(–5, –7), T(10, 17), M(–5, –10), V(5, 6) 12. ______________________ 13. B(3, –5), T(5, –1), M(–2, 6), V(4, 3) 13. ______________________ 14. A job hotline service charges $25 plus a 4% commission, c, on the first month of earnings if it finds work for a client. Write an equation that represents the total cost, T, to find a job through the hotline. What is the cost if a client earns $1500 the first month? Chapter 3 57 14. ______________________ Glencoe Geometry NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Chapter 3 Test, Form 2D (continued) Write an equation in slope-intercept form for the line that satisfies the given conditions. 15. m = 7, y-intercept = –8 15. ______________________ 16. m = –4, passes through (–4, 8) 16. ______________________ 17. x-intercept is –5, y-intercept is 2 17. ______________________ 18. Tanya joined Alphaville Motors as a car salesperson in 1998. The number of cars she sold increased at an average rate of 25 cars per year between 1998 and 2001. In 2001 she sold a total of 237 cars. If the number of cars Tanya sells continues to increase at the same rate, how many cars will she sell in 2007? 18. ______________________ Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. 19. ∠ QSR ≅ ∠ SUT 19. ______________________ 20. ∠ 1 ≅ ∠ 2 20. ______________________ 21. m∠ RTU + m∠ TUS = 180 21. ______________________ 22. Find the value of x so that p ║ q. 22. ______________________ 23. ______________________ 24. ______________________ Find the distance between each pair of parallel lines. 23. y = 3x – 1 and y = 3x – 11 24. y = –5x and y = –5x + 26 25. Construct a line perpendicular to ℓ through Q(2, 3). Then find the distance from Q to ℓ. 25. ______________________ Bonus Draw and label a figure you could use to prove the theorem If two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel. State the given and the statement to be proved. B: ______________________ Chapter 3 58 Glencoe Geometry