Math Geom Quiz Review 3 Answer Key

3.1-3.4 Quiz Review Name: KEY Fill in the blank with the correct term. Two lines are parallel if they lie in the same plane and do not intersect. Two lines are perpendicular if they intersect to form a right angle. Two lines are skew if they do not lie in the same plane and do not intersect. A transversal is a line that intersects two or more coplanar lines at different points. Two angles are corresponding if they occupy corresponding positions on the same side of the transversal. Two angles are alternate interior if they lie between the two lines on opposite sides of the transversal. Two angles are alternate exterior if they lie outside the two lines on opposite sides of the transversal. Two angles are same-side interior if they lie between the two lines on the same side of the transversal. In #9-12, use the diagram at the right to determine if the lines are parallel, perpendicular, or neither. p and1 q: parallel   q and s: neither r and q: parallel r and s: neither Use the diagram at the right. Name a pair of skew lines: line m and line l Name a pair of parallel lines: line m and line k Name a pair of perpendicular lines: line m and line n Use the diagram at the right. WZ and XY appear to be parallel. Plane TUZ appears parallel to plane VSW. XV and VU appear to be perpendicular. WX and YZ appear to be skew. XV appears to be perpendicular to plane STU. In the diagram at the right, m ∥ l. Determine whether enough information is given to conclude the statement is true. ∠4 is a right angle. Yes ∠1 and ∠2 are complementary. Yes ∠4 and ∠2 are complementary. No ∠3 = ∠1 No Find the value of the variable given that f || g. 25. (5x + 10)° + 25° = 90° 5x + 35 = 90 5x = 55 x = 11 26. (3z + 15)° + (3z + 15)° = 180° 6z + 30 = 180 6z = 150 z = 25 27. 2y + 3y = 90 5y = 90 y = 18 Describe the relationship between the two angles. 28. ∠1 and ∠4 AIA 29. ∠2 and ∠7 AEA 30. ∠1 and ∠3 SSI Use the diagram shown at the right to list all pairs of angles that fit the description. 31. corresponding ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8 32. Alternate interior ∠3 and ∠6, ∠4 and ∠5 33. Alternate exterior ∠1 and ∠7, ∠2 and ∠8 34. Same-side interior ∠2 and ∠3, ∠6 and ∠7 Use the diagram at the right to describe the relationship between the pairs of angles. 35. ∠CDH and ∠DEI CA 36. ∠KHI and ∠HIE AIA 37. ∠ADC and ∠FEI AEA 38. ∠EDH and ∠DHI SSI 39. ∠KHI and ∠LIJ CA 40. ∠HDE and ∠BED AIA 41. Corresponding angles (CA) are congruent/supplementary. (Circle one) congruent 42. Alternate interior angles (AIA) are congruent/supplementary. (Circle one) congruent 43. Alternate exterior angles (AEA) are congruent/supplementary. (Circle one) congruent 44. Same-side interior angles (SSI) are congruent/supplementary. (Circle one) supplementary Classify the pair of angles (CA, AIA, AEA, SSI) and then find the measure of ∠ABC. 45. AIA m∠ABC: 120° 46. SSI m∠ABC: 105° 47. CA m∠ABC: 85° Classify the pair of angles (CA, AIA, AEA, SSI) and then find the measure of ∠PQR. 48. SSI m∠PQR: 100° 49. CA m∠PQR: 115° 50. AIA m∠PQR: 40° Classify the pair of angles (CA, AIA, AEA, SSI) and then find the value of the variable. 51. 5x = 65 x = 13 Classify: CA 52. 3y + 10 = 180 3y = 90 y = 30 Classify: AEA 53. 2x + 108 = 180 2x = 72 x = 36 Classify: SSI 54. x + 25 = 90 x = 65 Classify: CA 55. 2y - 7 = 63 2y = 70 y = 35 Classify: AIA 56. 2x + 5 = 155 2x = 150 x = 75 Classify: AEA