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

6. Vertical Angles are Congruent to each other
<1 =<3
<2=<4
<1+<2=180 degrees
<2+<3=180 degrees
<3+<4=180 degrees
<4+<1=180 degrees

7. PARALLEL LINES CUT BY A TRANSVERSAL

9. SUM OF THE INTERIOR ANGLES OF A TRIANGLE

10. 180 DEGREES

11. EQUILATERAL TRIANGLE

12. Triangle with equal angles and equal sides

13. ISOSCELES TRIANGLE

14. TRIANGLE WITH 2 SIDES = AND 2 BASE ANGLES =

15. ISOSCELES RIGHT TRIANGLE

16. RIGHT TRIANGLE WITH BC=CA and < A = <B

17. EXTERIOR ANGLE THEOREM

19. LARGEST ANGLE OF A TRIANGLE

20. ACROSS FROM THE LONGEST SIDE

21. SMALLEST ANGLE OF A TRIANGLE

22. ACROSS FROM THE SHORTEST SIDE

23. LONGEST SIDE OF A TRIANGLE

24. ACROSS FROM THE LARGEST ANGLE

25. SMALLEST SIDE OF A TRIANGLE

26. ACROSS FROM THE SMALLEST ANGLE

27. TRIANGLE INEQUALITY THEOREM

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

29. PROPORTIONS IN THE RIGHT TRIANGLE

30. (Upside down T!!!!)
(Big Angle Small Angle!!!!!)

31. CONCURRENCY OF THE THE ANGLE BISECTORS

32. INCENTER

33. CONCURRENCY OF THE PERPENDICULAR BISECTORS

34. CIRCUMCENTER

35. CONCURRENCY OF THE MEDIANS

36. CENTROID
MEDIANS ARE IN A RATIO OF 2:1

37. CONCURRENCY OF THE ALTITUDES

38. ORTHOCENTER

39. Properties of a Parallelogram

40. 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.

41. Properties of a Rectangle

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

43. Properties of a Rhombus

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

45. Properties of a Square

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

47. Properties of an Isosceles Trapezoid

48. Isosceles Trapezoid Diagonals are congruent.
Opposite angles are supplementary degrees.
Legs are congruent

49. Median of a Trapezoid

51. DISTANCE FORMULA

53. MIDPOINT FORMULA

55. SLOPE FORMULA

57. PROVE PARALLEL LINES

58. EQUAL SLOPES

59. PROVE PERPENDICULAR LINES

60. OPPOSITE RECIPROCAL SLOPES (FLIP/CHANGE)

61. PROVE A PARALLELOGRAM

62. 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.

63. How to prove a Rectangle

64. 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.

65. How to prove a Square

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

67. Prove a Trapezoid

68. Prove a Trapezoid
Slope 4 times showing bases are parallel (same slope) and legs are not parallel.

69. Prove an Isosceles Trapezoid

70. Prove an Isosceles Trapezoid
Slope 4 times showing bases are parallel (same slopes) and legs are not parallel.
Distance 2 times showing legs have the same length.

71. Prove Isosceles Right Triangle

72. Prove Isosceles Right Triangle
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

73. Prove an Isosceles Triangle

74. Prove an Isosceles Triangle
Distance 2 times to show legs are congruent.

75. Prove a Right Triangle

76. Prove a Right Triangle
Slope 2 times to show opposite reciprocal slopes (perpendicular lines form right angles).

77. Sum of the Interior Angles

78. 180(n-2)

79. Measure of one Interior Angle

80. Measure of one interior angle

81. Sum of an Exterior Angle

82. 360 Degrees

83. Measure of one Exterior Angle

84. 360/n

85. Number of Diagonals

87. 1-Interior < + 1-Exterior < =

88. 180 Degrees

89. Number of Sides of a Polygon

91. Converse of PQ

92. Change Order QP

93. Inverse of PQ

94. Negate ~P~Q

95. Contrapositive of PQ

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

97. Negation of P

98. Changes the truth value ~P

99. Conjunction

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

101. Disjunction

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

103. Conditional

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

105. Biconditional

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

107. Locus from 2 points

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

109. Locus of a Line

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

111. Locus of 2 Parallel Lines

112. 3rd Parallel Line Midway in between

113. Locus from 1-Point

114. Circle

115. Locus of the Sides of an Angle

116. Angle Bisector

117. Locus from 2 Intersecting Lines

118. 2-intersecting lines that bisect the angles that are formed by the intersecting lines

119. Reflection through the x-axis

120. (x, y) (x, -y)

121. Reflection in the y-axis

122. (x, y)  (-x, y)

123. Reflection in line y=x

124. (x, y)  (y, x)

125. REFLECTION IN Y=-X

126. (X, Y) (-Y, -X)

127. Reflection in the origin

128. (x, y)  (-x, -y)

129. Rotation of 90 degrees

130. (x, y)  (-y, x)

131. Rotation of 180 degrees

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

133. Rotation of 270 degrees

134. (x, y)  (y, -x)

135. Translation of (x, y)

136. Ta,b(x, y)  (a+x, b+y)

137. Dilation of (x, y)

138. Dk (x, y)  (kx, ky)

139. Isometry

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

141. Direct Isometry

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

143. Opposite Isometry

144. Opposite Isometry Distance is preserved
Orientation changes (the way the vertices are read changes)
Reflection
Glide Reflection

145. What Transformation is NOT an Isometry?

146. Dilation

147. GLIDE REFLECTION

148. COMPOSITION OF A REFLECTION AND A TRANSLATION

149. Area of a Triangle

151. Area of a Parallelogram

153. Area of a Rectangle

155. Area of a Trapezoid

157. Area of a Circle

159. Circumference of a Circle

161. Surface Area of a Rectangular Prism

163. Surface Area of a Triangular Prism

165. Surface Area of a Trapezoidal Prism

166. H

167. Surface Area of a Cylinder

169. Surface Area of a Cube

171. Volume of a Rectangular Prism

173. Volume of a Triangular Prism

175. Volume of a Trapezoidal Prism

176. H

177. Volume of a Cylinder

179. Volume of a Triangular Pyramid

181. Volume of a Square Pyramid

183. Volume of a Cube

185. PERIMETER

186. ADD UP ALL THE SIDES

187. VOLUME OF A CONE

189. LATERAL AREA OF A CONE

191. SURFACE AREA OF A CONE

193. VOLUME OF A SPHERE

195. SURFACE AREA OF A SPHERE

197. SIMILAR TRIANGLES

198. EQUAL ANGLES PROPORTIONAL SIDES

199. MIDPOINT THEOREM

200. DE = ½ AB

201. PARALLEL LINE THEOREM

203. REFLEXIVE PROPERTY

204. A=A

205. SYMMETRIC PROPERTY

206. IF A=B, THEN B=A

207. TRANSITIVE PROPERTY

208. IF A=B AND B=C, THEN A=C

209. CENTRAL ANGLE OF A CIRCLE

210. CENTRAL ANGLE
m∠O = m arc-AB A o B

211. INSCRIBED ANGLE OF A CIRCLE

212. m ∠A = ½ m arc-BC B C A

213. ANGLE FORMED BY A TANGENT-CHORD

214. m ∠A = ½ m arc-AC A B C

215. ANGLE FORMED BY SECANT-SECANT

216. m ∠A = ½ [ m arc-BC − m arc-DE ]

217. ANGLE FORMED BY SECANT -TANGENT

218. m ∠A = ½ [ m arc-CD − m arc-BD ]

219. ANGLE FORMED BY TANGENT-TANGENT

220. m ∠A = ½ [ m arc-BDC − m arc-BC ]

221. ANGLE FORMED BY 2-CHORDS

222. m ∠1 = ½ [ m arc-AC + m arc-BD ]