1. FIRST SIX WEEKS REVIEW

2. SYMBOLS & TERMS

3. A B 6 SEGMENT Endpoints A and B

4. A B M M is the Midpoint of 3 3

5. A segment has endpoints on a number line of -3 and 5, Find its length.

6. A segment has endpoints on a number line of -3 and 5, find its midpoint.

8. The Midpoint of a segment

9. Find the midpoint of the segment joining (3,4) and (-5,-6).

16. Pythagorean Theorem– Used to find a missing side of a right triangle.

17. If a=5, and b=12, then c=_?_ 13

19. The distance formula—for finding the length of a segment.

20. Find the distance between (-2,-6) and (4, 2):

21. Find the distance between (2,-6) and (-4, 2):

29. ACUTE Angle Less than 90

30. OBTUSE Angle Greater than 90 but less than 180

31. RIGHT Angle Equals 90

32. STRAIGHT Angle Equals 180

33. SPECIAL PAIRS OF ANGLES

34. Nonadjacent Angles

35. B C A D For adjacent angles

36. B C A D

37. B C A D

38. Supplementary Angles A B

39. Vertical Angles

40. Also Vertical Angles

41. Linear Pair

42. Complementary Angles A B

43. Congruent Angles A B

44. Angle Bisector B C

45. Conditional Statement: Any statement that is or can be written in if- then form. That is, If p then q.

46. Symbolically we use the following for the conditional statement: “If p then q”:

47. EXAMPLE: If you feed the dog, then you may go to the movies.

48. EXAMPLE: If you feed the dog, then you may go to the movies. Hypothesis

49. EXAMPLE: If you feed the dog, then you may go to the movies. Hypothesis Conclusion

50. “ALL” Statements: When changing an “all” statement to if-then form, the hypothesis must be made singular.

51. EXAMPLE: All rectangles have four sides. BECOMES: If _______ a rectangle then _____ four sides. a figure is it has

52. The Converse: The conditional statement formed by interchanging the hypothesis and conclusion.

53. Symbolically, for the conditional statement: The converse is:

54. EXAMPLE: Form the converse of: IfthenX=2X > 0.

55. EXAMPLE: Form the converse of: IfthenX=2X > 0. IfthenX > 0X=2.

56. The Inverse: The conditional statement formed by negating both the hypothesis and conclusion.

57. Symbolically, for the conditional statement: The inverse is:

58. EXAMPLE: Form the Inverse of: IfthenX=2X > 0. IfthenX=2X > 0.

59. EXAMPLE: Form the Inverse of: IfthenX=2X > 0. IfthenX=2X > 0.

60. The Contrapositive: The conditional statement formed by interchanging and negating the hypothesis and conclusion.

61. Symbolically, for the conditional statement: The contrapositive is:

62. EXAMPLE: Form the contrapositive of: IfthenX=2X > 0. IfthenX=2X > 0.

63. LOGIC: SYLLOGISMS

64. Law of Syllogism

65. If a figure is a rectangle, then it is a parallelogram. If a figure is a parallelogram, then its diagonals bisect each other. __________________________

66. If a figure is a rectangle, then it is a parallelogram. If a figure is a parallelogram, then its diagonals bisect each other. __________________________

67. If a figure is a rectangle, then it is a parallelogram. If a figure is a parallelogram, then its diagonals bisect each other. __________________________

68. If a figure is a rectangle, then it is a parallelogram. If a figure is a parallelogram, then its diagonals bisect. __________________________ If a figure is a rectangle, then its diagonals bisect.

69. Law of Detachment

70. If a figure is a rectangle, then it is a parallelogram. ABCD is a rectangle. __________________________

71. If a figure is a rectangle, then it is a parallelogram. ABCD is a rectangle. __________________________

72. If a figure is a rectangle, then it is a parallelogram. ABCD is a rectangle. __________________________ ABCD is a parallelogram.

73. Law of Contrapositive

74. If a figure is a rectangle, then it is a parallelogram. ABCD is not a parallelogram. __________________________

75. If a figure is a rectangle, then it is a parallelogram. ABCD is not a parallelogram. __________________________

76. If a figure is a rectangle, then it is a parallelogram. ABCD is not a parallelogram. __________________________ ABCD is not a rectangle.

77. In the following examples, use a law to draw the correct conclusion from the set of premises.

78. 1. If frogs fly then toads talk. Frogs fly. -----------------------------

79. 1. If frogs fly then toads talk. Frogs fly. ----------------------------- Toads talk.

80. 2. If hens heckle then crows don’t care. Crows care. -----------------------

81. 2. If hens heckle then crows don’t care. Crows care. ----------------------- Hens don’t heckle.

82. 3. If ants don’t ask then flies don’t fret. Ants don’t ask. ----------------------------

83. 3. If ants don’t ask then flies don’t fret. Ants don’t ask. ---------------------------- Flies don’t fret.

84. PROPERTIES

85. IF then

86. Symmetric Property of Congruence

88. Reflexive Property of Congruence

89. IF and then

90. Transitive Property of Congruence

91. If and then

92. Substitution Property of Equality

93. IF AB = CD Then AB + BC = BC + CD

94. Addition Property of Equality

95. If AB + BC= CE andCE = CD + DE then AB + BC = CD + DE

96. Transitive Property of Equality

97. If AC = BD then BD = AC.

98. Symmetric Property of Equality

99. If AB + AB = AC then 2AB = AC.

100. Distributive Property

102. Reflexive Property of Equality

103. If 2(AM)= 14 then AM=7

104. Division Property of Equality

105. If AB + BC = BC + CD then AB = CD.

106. Subtraction Property of Equality

107. If AB = 4 then 2(AB) = 8

108. Multiplication Property of Equality

109. Let’s see if you remember a few oldies but goodies...

110. If B is a point between A and C, then AB + BC = AC

111. The Segment Addition Postulate

112. If Y is a point in the interior of then

113. Angle Addition Postulate

114. IF M is the Midpoint of then

115. The Definition of Midpoint

116. IF bisects then

117. The Definition of an Angle Bisector

118. If AB = CD then

119. The Definition of Congruence

120. If then is a right angle.

121. The Definition of Right Angle

122. 1 If is a right angle, then the lines are perpendicular.

123. The Definition of Perpendicular lines.

124. If Then

125. The Definition of Congruence

126. And now a few new ones...

127. If and are right angles, then

128. Theorem: All Right angles are congruent.

129. 1 2 If and are congruent, then lines m and n are perpendicular. n m

130. Theorem: If 2 lines intersect to form congruent adjacent angles, then the lines are perpendicular.