Geometry

Geometry 1

100

• If two angles are equal, then their supplements are equal

Theorem 1

200

• If A > B, then AC > BC

Multiplication Property of Inequality

300

• If A = B and C = D, then A + C = B + D

Addition Property of Equality

400

• If A = B and C = D, then A - C = B - D

Subtraction Property of Equality

500

A 90 degree angle

Right Angle

Geometry 2

100

Two angles that add to 180 degrees

Supplementary Angles

200

• If each of two angles is the compliment of the same angle, then the two angles are equal

• Theorem 2

300

• If A = B, then AC = BC

Multiplication Property of Equality

400

Two lines that intersect/meet at a 90 degree angle

Perpendicular lines

500

• If A = B, and B = C, then A = C

Transitive Property of an Equality

Geometry 3

100

The space (measured in degrees) between two intersecting lines or two rays with a common end point

Definition of Angles

200

• If A = B and C > 0, then A/C = B/C

Division Property of Equality

300

• If A > B, and B > C, then A > C

Transitive Property of an Inequality:

400

• If each of two angles is the supplement of the same angle, then the two angles are equal

Theorem 1

500

A ray or line segment that splits an angle into two equal angles

Definition of an Angle Bisector

Geometry 4

100

• A = A

Reflexive Property

200

• If A = B, then either may be substituted for each other in a statement of an equality or an inequality

Transitive Property of an Equality

300

• If A = B, then B = A

Symmetric Property

400

Two angles that add to 90 degrees

Complimentary Angles

500

• If A > B then A - C > B - C

Subtraction Property of Inequality

Geometry 5

100

7x+3=24

x=3

200

• If two angles are equal, then their compliments are equal

Theorem 2

300

• If A > B and C > D, then A + C > B + D

Addition Property of Inequality

400

• If two straight lines intersect, then the opposite angles formed are equal in pairs

Theorem 3

500

• If A > B and C > 0, then A/C > B/C

Division Property of Inequality