Honors Geometry Fall Semester Study Guide Name __Answer Key_Pd. ___

All work must be shown in a neat and organized manner.

1. Angle 75 supplement 105

2. x = 3, y = 4

3. point, line and plane , earth measure

4. -3/2

5. 10

6. (3.5, 3)

7. (-19, 17)

8. y = 5x + 1.345

9. Y = -4x/3 + 14

10. Y = -18x + 66

11. Y = 7x/4 + 9

12. Santa will leave coal in his stocking.”

13. If John can have dessert with dinner, then he will eat brussel sprouts Contrapositve: If John does not eat brussel sprouts, then he cannot have dessert with dinner.

14. If it is foggy, then Santa will not find his way

15. 30 & 60

16. a. statement b. diagram c. given d. prove e. reason

17. postulates, theorems, definitions, properties, & given

18. Two points determine a line while three noncollinear points determine a plane. Every line contains at least two points and every plane contains 3 non-collinear points.

19. AK DO, KCOG, ACDG, AD, KO, CG

20. 7<x<23

21. 41

22. x=3, extraneous soln is x= 1

23. 13

24. 16

25. acute

26. PS = 5x - 20

27. x = 2, y = -2

28. 100

29. one, Straight , coplanar, parallel to each other

30. Y = -x/3 + 3

31. a. perpendicular

b. parallel

c. neither

32. 4, 6, 10? No 3, 5, 9? NO 5, 5.1, 10? YES

33. x>6

34.

a. True b. cannot answer c. True

35. AB

36. AB = 23, AC = 34, BC = ,42, C

37. x = 22

38. SAS

39. ASA

40. AAS

41. HL

42. SAS

43. SAS

44. x = 7, y = 23

45. a. T b. T c, T d. T e. alter ext f. same side interior g. corresponding

46. Converse – If an angle has a measure greater than 0 and less than 90, then the angle is acute. – TRUE

Inverse – If an angle is not acute, then it does not have a measure greater than 0 and less than 90. – TRUE

Contrapositive – If an angle does not have a measure greater than 0 and less than 90, then the angle is not acute. - TRUE

47. 48. 49. 50.

Altitude/ orthocenter angle bisector/ incenter median/centroid perpendicular bisector/

circumcenter

51. 2 < s< 18

52. m<ABC ______m<DBC 53. ST ______UV

54. 42

55. 24

56. 27

57. obtuse

58. right

59. acute

60.  corresponding angles, alternate exterior, alternate interior, same side interior

61.  x = 5

62.  x = 10

63.  x = 6

67.

68. x = 4, y =

69. x = y =

70. x = , y =

71. x =

72. x =

73. y =

Proofs

74. Given: P is the midpoint of and .

Prove:

75 Given: T is the midpoint of .

Prove:

76. Given: ║

Prove: <1 and <4 are supplementary

B 4 C

2  3

E 1 F

77. Given: l ║ m; m<1 = m<2

Prove: m<2 = m<4

l 1 2

m 4 3