Math Geom Test Review Chapter 3 Answer Key

Geometry Chapter 3 Test Review Name: Fill in the blank with PARALLEL, PERPENDICULAR, or NEITHER to make each statement true. 1. Line q is parallel to line r. 2. Line p is perpendicular to line r. 3. Line p is neither to line q. 4. Line p is neither to line s. Consider each segment in the diagram at the right as part of a line. Complete the statement. 5. Name three segments parallel to rz. ST, WX, YZ 6. Name four segments that intersect rz. ST, UT, WZ, YZ 7. Name four segments skew to rz. VS, WX, XY, VU Find the value of the variable, given that f || g. 8. (5x + 10)° 5x + 10 = 25 5x = 15 x = 3 9. (3z + 15)° 3z + 15 = 90 3z = 75 z = 25 10. (3y + 2y)° 5y = 90 y = 18 In the diagram at the right, h || i and j || k. Determine whether enough information is given to conclude that the statement is true. 11. ∠10 is a right angle - True 12. ∠7 ≅ ∠8 - True 13. ∠2 ≅ ∠3 - True 14. ∠6 ≅ ∠7 - No State the following using the picture. Don't forget to use angle symbols! 15. Two pairs of alternate interior angles: ∠3 and ∠6, ∠4 and ∠5 16. Two pairs of alternate exterior angles: ∠2 and ∠7, ∠1 and ∠8 17. Four pairs of corresponding angles: ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8 18. Four pairs of vertical angles: ∠1 and ∠4, ∠2 and ∠3, ∠5 and ∠8, ∠6 and ∠7 For #19-27, use the picture below. Choose the letter that shows the correct relationship between the angle pairs. 19. ∠3 and ∠9: A 20. ∠8 and ∠13: B 21. ∠2 and ∠10: C 22. ∠5 and ∠7: E 23. ∠6 and ∠16: C 24. ∠1 and ∠2: F 25. ∠5 and ∠13: D 26. ∠10 and ∠16: A 27. ∠13 and ∠2: E A. alternate interior B. same-side interior C. alternate exterior D. corresponding E. vertical F. adjacent-supplementary/linear pair Describe the relationship between the pairs of angles by circling the word that makes the sentence true. 28. If lines are parallel, then... * the alternate interior angles are: congruent / supplementary * the corresponding angles are: congruent   / supplementary * the same-side interior angles are: congruent / supplementary   29. Vertical angles are always congruent / supplementary, even if the lines are not parallel. 30. Linear pairs are always congruent / supplementary, even if the lines are not parallel. State the type of angles shown and find the   measure of ∠1. 31. Type of Angles: linear pair m∠1: 60° 32. Type of Angles: CA m∠1: 120° 33. Type of Angles: AIA m∠1: 120° 34. Type of Angles: SSI m∠1: 60° Use the relationship between the angles to write an equation and solve for x. 35. Type of angles: SSI Relationship: congruent or supplementary Equation: 9x-5 + 23x+25 = 180 32x + 20 = 180 32x = 160 x = 5 36. Type of angles: AIA Relationship: congruent or supplementary Equation: 14x + 2 = 16x - 8 2 = 2x - 8 10 = 2x x = 5 37. Type of angles: CA Relationship: congruent or supplementary Equation: 3x + 40 = 9x - 8 40 = 6x - 8 48 = 6x x = 8 38. Type of angles: SSA Relationship: congruent or supplementary Equation: 2x + 5 = 155 2x = 150 x = 75 39. Type of angles: CA Relationship: congruent or supplementary Equation: x + 25 = 90 x = 65 40. Type of angles: SSI Relationship: congruent or supplementary Equation: 2x + 108 = 180 2x = 72 x = 36 Determine whether enough information is given to conclude that the lines are parallel. If so, state the reason. 41. Yes, SSI 42. Yes, AIA 43. No, angles are vertical 44. Yes, AEA 45. Yes, CA Find the value of the variable so that m // n. 46. x + 30 + 50 = 180 x + 80 = 180 x = 100 47. 2y + 15 = 135 2y = 120 y = 60 48. 4x - 10 = 70 4x = 80 x = 20 Find the value of the variable that makes EF // GH. 49. 6x = 90 x = 15 50. 2y - 10 = 90 2y = 100 y = 50