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Geometry Quiz Review 2.1-2.4 Name:________________________ Vocabulary Choose from the words in the bank below to fill in the blanks with the correct vocabulary word. linear pair bisect adjacent segment bisector midpoint 90˚ angle bisector 180˚ complementary vertical angles 1. The __________________ of a segment is the point on the segment that divides it into two congruent segments. 2. A __________________ is a segment, ray, line or plane that intersects a segment at its midpoint. 3. To __________________ a segment means to divide the segment into two congruent segments. 4. Two angles are complementary if the sum of their measures is ____________. 5. Two angles are supplementary if the sum of their measures is _____________. 6. If two angles share a common vertex and side, but have no common interior points, then the two angles are _________________________ angles. M is the midpoint of the segment. Find the segment lengths. 7. 8. 9. 10. Line l bisects the segment. Find the segment lengths. 11. Find AN and AB. 12. Find FG and EG Line l bisects the segment. Find the value of x. 13. 14. Equation: Equation: x= x= Find the coordinates of the midpoint of ̅̅̅̅ 𝑨𝑩. The midpoint formula is _____________________ 15. A(-2, 3) B(4, -1) 16. A(-6, 1) B(-2, 7) 17. A(4, 0) B(6, -8) ⃗⃗⃗⃗⃗ 𝑮𝑬 bisects ∠FGH. Find the angle measure. (Bisects means___________) 18. 19. 20. ⃗⃗⃗⃗⃗ bisects ∠DBC. Find m ∠CBA and m ∠DBC. (Bisects means___________) 𝐁𝐀 21. 22. 23. ⃗⃗⃗⃗⃗ 𝑱𝑲 bisects ∠GJH. Find the value of x. (Bisects means___________) 24. 25. Equation: Equation: x= x= 26. Equation: x= Find the measure of the complement of the angle. (Complements add up to ________) 27. m ∠ Y = 35˚ 28. m ∠ A = 89˚ 29. m ∠B = 17˚ Find the measure of the supplement of the angle. (Supplements add up to ________) 30. m ∠ A = 54˚ 31. m ∠ B =175˚ 32. m ∠C =115˚ ∠PQS and ∠SQR are complementary angles. Find the value of the variable. 33. 34. 4 35. (3x+8)° 5x° These angles add up to ________ Equation: x= These angles add up to ________ These angles add up to ________ Equation: Equation: x= x= Use the figure at the right to complete the statement. 36. ∠1 and _________ are a linear pair, and so are ∠1 and _______. 37. ∠2 and _________ are vertical angles. 38. If m ∠3 = 150˚, then m ∠2 = ___________ 39. ∠4 ≅ __________ (x+2)° Find the measure of the numbered angle. 40. 41. These angles add up to ________ These angles are ___________ Equation: 42. These angles are ____________ They add up to _______ Equation: Find m ∠1, m ∠2, m ∠3. 43. 44. 45. m ∠1: _____________ m ∠1: _____________ m ∠1: _____________ m ∠2: _____________ m ∠2: _____________ m ∠2: _____________ m ∠3: _____________ m ∠3: _____________ m ∠3: _____________ Find the value of the variable. Then use substitution to find m ∠PQR. 46. 47. 48. 31° 5x° (3x+12)° Equation: Equation: Equation: x = _____________ x = _____________ x = _____________ m ∠PQR:_____________ m ∠PQR:_____________ m ∠PQR:_____________