Geometry Unit 2 topic 5

Addition property of equality

add to both sides of an equation.

Subtraction property of equality

subtract from both sides of equation.

Multiplication property of equality

Multiply both sides of the equation

Division Property of equality

Divide both sides of the equation.

Associative Property

a+(b+c) is equal to b+(a+c) this only works for addition and multiplication.

Commutative Property

a+b+c= b+c+a Only works for addition and multiplication.

Distributive Property

a(c+b)= ac+a

Substitution Property

If a=b then a can be substituted for b.

Reflexive Property of Equality

a=a

Transitive Property of Equality

if a=b and b=c then a=c

Symmetric Property of Equality

if a=b, then b=a

Linear Pair Postulate

If two angles form a linear pair, then their angles add to 180.

Vertical Angles Theorem

Vertical angles are always congruent.

Segment Addition Postulate

The length of a segment is equal to the sum of the smaller units.

Angle Addition Postulate

The mesure of an angle is equal to the sum of the smaller angles