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Honors Geometry Chapter 3 Review Answers Name: _____________________________________ For numbers 1 – 5, use the figure below. For numbers 1 – 3, identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles. 1. 5 and 13 Corresponding angles 2. 7 and 12 alternate interior angles 3. 9 and 16 Alternate exterior angles 4. Given a || b and m6 = 89°, find m10. 91° 5. Find the values of x and y given a || b, m8 = (4x + 10)°, m12 = (7x – 17)°, and m11 = (3y)°. x = 17; y = 26 6. Determine the slope of the line that contains the given points: P(–5, 11), R(5, 7) 2 5 For numbers 7 – 9, determine whether BT and MV are parallel, perpendicular, or neither. 7. B(1, –4), T(5, 12), M(–8, 3), V(–4, 2) Perpendicular 8. B(–5, –7), T(10, 17), M(–5, –10), V(5, 6) Parallel 9. B(3, –5), T(5, –1), M(–2, 6), V(4, 3) Perpendicular 10. 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? T = 25 + 0.04c; $85 For numbers 11 – 13, write an equation in slope-intercept form for the line that satisfies the given condition. 11. Passes through (–7, –4), parallel to y 1 x 9. 2 1 1 x 2 2 13. Passes through (–1, –10), parallel to y = 7. Y = –10 y 2 12. Passes through (6, 2), perpendicular to y x 1. 3 3 y x7 2 For numbers 14 – 16, given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. 14. QSR SUT RS || TU Corresponding angles converse 16. mRTU + mTUS = 180° QU || PT Consecutive interior angles converse 17. Find the value of x so that p || q. x = 12 15. 1 2 QU || PT alternate interior angles converse For numbers 18 & 19, find the distance between each pair of parallel lines. 18. y = 3x – 1 and y = 3x – 11 d 10 19. y = –5x and y = –5x + 26 d 26 20. Construct a line perpendicular to ℓ through Q(2, 3). Then find the distance from Q to ℓ. d 4 2