1. SUPPLEMENTARY ANGLES

2. 2-angles that add up to 180 degrees.

3. COMPLEMENTARY ANGLES

4. 2-angles that add up to 90 degrees

5. Vertical Angles are congruent to each other

6. PARALLEL LINES CUT BY A TRANSVERSAL

8. SUM OF THE INTERIOR ANGLES OF A TRIANGLE

9. 180 DEGREES

10. LARGEST ANGLE OF A TRIANGLE

11. ACROSS FROM THE LONGEST SIDE

12. SMALLEST ANGLE OF A TRIANGLE

13. ACROSS FROM THE LONGEST SIDE

14. LONGEST SIDE OF A TRIANGLE

15. ACROSS FROM THE LARGEST ANGLE

16. SMALLEST SIDE OF A TRIANGLE

17. ACROSS FROM THE SMALLEST ANGLE

18. TRIANGLE INEQUALITY THEOREM

19. The sum of 2-sides of a triangles must be larger than the 3 rd side.

20. Properties of a Parallelogram

21. Parallelogram Opposite sides are congruent. Opposite sides are parallel. Opposite angles are congruent. Diagonals bisect each other. Consecutive (adjacent) angles are supplementary (+ 180 degrees). Sum of the interior angles is 360 degrees.

22. Properties of a Rectangle

23. Rectangle All properties of a parallelogram. All angles are 90 degrees. Diagonals are congruent.

24. Properties of a Rhombus

25. Rhombus All properties of a parallelogram. Diagonals are perpendicular (form right angles). Diagonals bisect the angles.

26. Properties of a Square

27. Square All properties of a parallelogram. All properties of a rectangle. All properties of a rhombus.

28. Properties of an Isosceles Trapezoid

29. Isosceles Trapezoid Diagonals are congruent. Opposite angles are supplementary + 180 degrees. Legs are congruent

30. Median of a Trapezoid

32. DISTANCE FORMULA

34. MIDPOINT FORMULA

36. SLOPE FORMULA

38. PROVE PARALLEL LINES

39. EQUAL SLOPES

40. PROVE PERPENDICULAR LINES

41. OPPOSITE RECIPROCAL SLOPES (FLIP/CHANGE)

42. PROVE A PARALLELOGRAM

43. Prove a Parallelogram Distance formula 4 times to show opposite sides congruent. Slope 4 times to show opposite sides parallel (equal slopes) Midpoint 2 times of the diagonals to show that they share the same midpoint which means that the diagonals bisect each other.

44. How to prove a Rectangle

45. Prove a Rectangle Prove the rectangle a parallelogram. Slope 4 times, showing opposite sides are parallel and consecutive (adjacent) sides have opposite reciprocal slopes thus, are perpendicular to each other forming right angles.

46. How to prove a Square

47. Prove a Square Prove the square a parallelogram. Slope formula 4 times and distance formula 2 times of consecutive sides.

48. Prove a Trapezoid

49. Slope 4 times showing bases are parallel (same slope) and legs are not parallel.

50. Prove an Isosceles Trapezoid

51. Slope 4 times showing bases are parallel (same slopes) and legs are not parallel. Distance 2 times showing legs have the same length.

52. Prove Isosceles Right Triangle

53. Slope 2 times showing opposite reciprocal slopes (perpendicular lines that form right angles) and Distance 2 times showing legs are congruent. Or Distance 3 times and plugging them into the Pythagorean Theorem

54. Prove an Isosceles Triangle

55. Distance 2 times to show legs are congruent.

56. Prove a Right Triangle

57. Slope 2 times to show opposite reciprocal slopes (perpendicular lines form right angles).

58. Sum of the Interior Angles

59. 180(n-2)

60. Measure of one Interior Angle

61. Measure of one interior angle

62. Sum of an Exterior Angle

63. 360 Degrees

64. Measure of one Exterior Angle

65. 360/n

66. Number of Diagonals

68. 1-Interior < + 1-Exterior < =

69. 180 Degrees

70. Number of Sides of a Polygon

72. Converse of P  Q

73. Change Order Q  P

74. Inverse of P  Q

75. Negate ~P  ~Q

76. Contrapositive of P  Q

77. Change Order and Negate ~Q  ~P Logically Equivalent: Same Truth Value as P  Q

78. Negation of P

79. Changes the truth value ~P

80. Conjunction

81. And (^) P^Q Both are true to be true

82. Disjunction

83. Or (V) P V Q true when at least one is true

84. Conditional

85. If P then Q P  Q Only false when P is true and Q is false

86. Biconditional

87.  (iff: if and only if) T  T =True F  F = True

88. Locus from 2 points

89. The locus of points equidistant from two points, P and Q, is the perpendicular bisector of the line segment determined by the two points.

90. Locus of a Line

91. Set of Parallel Lines equidistant on each side of the line

92. Locus of 2 Parallel Lines

93. 3 rd Parallel Line Midway in between

94. Locus from 1-Point

95. Circle

96. Locus of the Sides of an Angle

97. Angle Bisector

98. Locus from 2 Intersecting Lines

99. 2-intersecting lines that bisect the angles that are formed by the intersecting lines

100. Reflection through the x-axis

101. (x, y)  (x, -y)

102. Reflection in the y-axis

103. (x, y)  (-x, y)

104. Reflection in line y=x

105. (x, y)  (y, -x)

106. Reflection in the origin

107. (x, y)  (-x, -y)

108. Rotation of 90 degrees

109. (x, y)  (-y, x)

110. Rotation of 180 degrees

111. (x, y)  (-x, -y) Same as a reflection in the origin

112. Rotation of 270 degrees

113. (x, y)  (y, -x)

114. Translation of (x, y)

115. T a,b (x, y)  (a+x, b+y)

116. Dilation of (x, y)

117. D k (x, y)  (kx, ky)

118. Isometry

119. Isometry: Transformation that Preserves Distance Dilation is NOT an Isometry Direct Isometries Indirect Isometries

120. Direct Isometry

121. Preserves Distance and Orientation (the way the vertices are read stays the same) Translation Rotation

122. Opposite Isometry

123. Distance is preserved Orientation changes (the way the vertices are read changes) Reflection Glide Reflection

124. What Transformation is NOT an Isometry?

125. Dilation

126. Area of a Triangle

128. Area of a Parallelogram

130. Area of a Rectangle

132. Area of a Trapezoid

134. Area of a Circle

136. Circumference of a Circle

138. Surface Area of a Rectangular Prism

140. Surface Area of a Triangular Prism

142. Surface Area of a Trapezoidal Prism

143. H

144. Surface Area of a Cylinder

146. Surface Area of a Cube

148. Volume of a Rectangular Prism

150. Volume of a Triangular Prism

152. Volume of a Trapezoidal Prism

153. H

154. Volume of a Cylinder

156. Volume of a Triangular Pyramid

158. Volume of a Square Pyramid

160. Volume of a Cube