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29 Cards in this Set

  • Front
  • Back

Addition Property

a=b


c=d


-----------------


a + c = b + d

Subtraction Property

a + c = b + d


a = b


-----------------


c = d

Multiplication Property

a = b


c = d


----------


ac = bd

Division Property

a = b


c = d


----------------


a / c = b / d

Substitution Property

a = b


a + c = d


------------


b + c = d

Angle Addition Postulate

If B is in the interior of AOC, thenm∠AOB+m∠BOC=m∠AOC

Reflexive Property

a = a

Transitive Property

a = b


b = c


-------


a = c

Symmetric Property

a = b


-------


b = a

Definition of a midpoint

A midpoint divides a segment into two segments equal in measure

Midpoint

A midpoint divides a segment into two segments, each half the length of the given segment

Definition of a bisector

A bisector intersects a segment at its midpoint

Definition of an angle bisector

A bisector of an angle divides an angle into two angles equal in measure.

Angle bisector

An angle bisector divides an


angle into two angles, each half the measure of the given angles.

Definition of perpendicular lines

Perpendicular lines form right angles

Definition of complementary angles

If two angles are complementary the sum of their angles is 90 degrees.

Definition of supplementary angles

If two angles are supplementary, the sum of their measures is 180 degrees.

If the exterior sides of two


adjacent angles are opposite rays, then the angles are

Supplementary

If the exterior sides of two acute adjacent angles are perpendicular, then the angles are
complementary.
Complements of the same angle are
equal in measure.
Complements of angles equal in measure are

equal in measure.

Supplements of the same angle are

equal in measure.

Supplements of angles equal in measure are

equal in measure.

Definition of linear pair
used to state two angles form a linear pair in the diagram
Definition of vertical angles
used to state two angles are vertical angles in the diagram
All right angles are

equal in measure.

Vertical angles are

equal in measure.

If two angles form a linear pair then they are
supplementary.
If two lines intersect to form adjacent congruent angles, then the lines are
perpendicular.