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If a=b, then a+c=b+c
Addition Property of Equality

If a=b, then ac=bc
Subtraction Property of Equality

If a=b, then a*c=b*c
Multiplication Property of Equality

If a=b, then (a/c)=(b/c)
Division Property of Equality

a(b+c)=ab+ac
a(bc)=abac
Distributive Property of Multiplication over Addition
Distributive Property of Multiplication over Subtraction

If a=b, then b can be substituted for a in any equation or expression
Substitution Property of Equality

For any real number a, a=a
Reflexive Property of Equality

If a=b, then b=a
Symmetric Property of Equality

If a=b and b=c, then a=c
Transitive Property of Equality

For any geometric figure A, A is congruent to A
Reflexive Property of Congruence

If A is congruent to B, then B is congruent to A
Symmetric Property of Congruence

If A is congruent to B and B is congruent to C, then A is congruent to C
Transitive Property of Congruence

If C is between A and B, then AC+CB=AB
Segment Addition Postulate

If line segment AB is congruent to line segment CB, then AB=CD
Definition of Segment Congruence

A geometric figure that divides a segment in to two congruent halves
Definition of a segment bisector

A point that bisects a segment
Definition of a midpoint

If C is on the interior of angle ABD, then the measure of angle ABC+ the measure of angle CBD equals the measure of angle ABD
Angle Addition Postulate

If angle A is congruent to angle B, Then the measure of angle A is equal to the measure of angle B
Definition of Angle Congruence

A geometric figure that divides an angle in to two congruent halves
Definition of an Angle Bisector

What are the four types of Congruence Theorems?

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called...
Corresponding Angles

These are the angles opposite each other when two lines cross. They are always equal.
Vertical Angles

Any of the four angles that do not include a region of the space between two lines intersected by a transversal.
Exterior Angles

an angle formed between parallel lines by a third line that intersects them.
Interior Angles

It is intended as an easy way to remember that when you have two triangles and you have proved they are congruent, then each part of one triangle (side, or angle) is congruent to the corresponding part in the other.
CPCTC

What does this symbol mean?
Perpendicular

What is line BD also known as?
an Angle Bisector

