# Study sets matching "postulates properties"

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Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If a = b and c=d then a+c = b+d

If a = b and c=d then a-c = b-d

If a = b, then a · c = b · c

If a = b and c does not equal 0 then a/c = b/c

Addition Property of Equality

If a = b and c=d then a+c = b+d

Subtraction Property of Equality

If a = b and c=d then a-c = b-d

reflexive property

transitive property

symmetric property

addition postulate

a value is equal to itself

if a=b & b=c, then a=c

if a=b then b=a

if equal quantities are added to equal quantities, then the su…

reflexive property

a value is equal to itself

transitive property

if a=b & b=c, then a=c

Two Point Postulate

Line Intersection Postulate

Three point postulate

Plane - Point Postulate

Through any two points there exists exactly one line. (2.1)

If two lines intersect, then their intersection is exactly one…

Through any 3 noncolinear points, there exists exactly one pla…

A plane contains at least three noncollinear points (2.5)

Two Point Postulate

Through any two points there exists exactly one line. (2.1)

Line Intersection Postulate

If two lines intersect, then their intersection is exactly one…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Add something to both sides of an equation... If a = c, then a+ b…

Subtract something from both sides of an equation... If a = c, th…

Multiply by something on both sides of an equation... If a = c, t…

Divide by something on both sides of an equation... If a = c, the…

Addition Property of Equality

Add something to both sides of an equation... If a = c, then a+ b…

Subtraction Property of Equality

Subtract something from both sides of an equation... If a = c, th…

Reflexive

Symmetric

Transitive

Addition postulate

A quantity that is congruent (equal) to itself ex: a=a

If a=b, then b=a

If a=b and b=c, then a=c

If equal quantaties are added to equal quantities, the sums ar…

Reflexive

A quantity that is congruent (equal) to itself ex: a=a

Symmetric

If a=b, then b=a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Postulate

A quantity is equal to itself.

A quantity may be expressed in any order.

If quantities are equal to the same quantity, then they are eq…

A quantity may be substituted for its equal in any expression.

Reflexive Property of Equality

A quantity is equal to itself.

Symmetric Property of Equality

A quantity may be expressed in any order.

Ruler Postulate

Protractor Postulate

Angle Addition Postulate

Segment Addition Postulate

Any two points can correspond to the values on a ruler. AB= ab…

The rays of an angle match the values on a protractor.... m<ABC=…

If RT is in the interior of <QRS, then... m<QRS= m<QRT + m<TRS

If B is between A & C then AC=AB +BC

Ruler Postulate

Any two points can correspond to the values on a ruler. AB= ab…

Protractor Postulate

The rays of an angle match the values on a protractor.... m<ABC=…

Addition Property of Equality

Division Property of Equality

Reflexive Property of Equality

Transitive Property of Equality

You can add the same number to each side of an equation.

You can divide each side of an equation by the same number.

A value equal to itself (reflection).

If two values are equal to a third value, then they are equal…

Addition Property of Equality

You can add the same number to each side of an equation.

Division Property of Equality

You can divide each side of an equation by the same number.

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If a = b and c=d then a+c = b+d

If a = b and c=d then a-c = b-d

If a = b, then a · c = b · c

If a = b and c does not equal 0 then a/c = b/c

Addition Property of Equality

If a = b and c=d then a+c = b+d

Subtraction Property of Equality

If a = b and c=d then a-c = b-d

Definition of a Line

Perpendicular Postulate

Addition Property of Equality

Subtraction Property of Equality

Through Any two points, there is exactly 1 line

if there is a line and a point not on the line there is exactl…

If you add the same numbers to each side of an equation, both…

Subtracting the same number to each side of the equation produ…

Definition of a Line

Through Any two points, there is exactly 1 line

Perpendicular Postulate

if there is a line and a point not on the line there is exactl…

Addition Property

Subtraction Property

Substitution Property

Reflexive Property

You can add EQUAL things to both sides of an EQUATION... "If a =…

You can subtract EQUAL things from both sides of an EQUATION... "…

If two number are EQUAL, then they can be substituted for one…

Any number equals itself

Addition Property

You can add EQUAL things to both sides of an EQUATION... "If a =…

Subtraction Property

You can subtract EQUAL things from both sides of an EQUATION... "…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

2+5 = 5+2

2

**5 = 5**2The grouping doesn't change the sum

The grouping doesn't change the product

Commutative Property of Addition

2+5 = 5+2

Commutative Property of Multiplication

2

**5 = 5**22.1

2.2

2.3

2.4

through any two points, there is exactly one line

through any 3 noncollinear points there is exactly one plane

line that contains at least two points

a plane that contains at least three noncollinear points

2.1

through any two points, there is exactly one line

2.2

through any 3 noncollinear points there is exactly one plane

Segment Addition Postulate

Angle Addition Postulate

Definition of a Midpoint

Definition of a Right Angle

If B is between A and C then AB + BC = AC.

If S is inside of PQR then PQS + SQR = PQR

If the point is a midpoint then it bisects a segment (Two cong…

If an angle is a right angle then the angle's measure is 90 de…

Segment Addition Postulate

If B is between A and C then AB + BC = AC.

Angle Addition Postulate

If S is inside of PQR then PQS + SQR = PQR

Tangent (tan)

Secant (sec)

Cosecant (csc)

Cotangent (cot)

Opposite over Adjacent (sin/cos)

Hypotenuse over Adjacent (1/cos)

Hypotenuse over Opposite (1/sin)

Adjacent over Opposite (1/tan)

Tangent (tan)

Opposite over Adjacent (sin/cos)

Secant (sec)

Hypotenuse over Adjacent (1/cos)

the substitution postulate

the partition postulate

the addition postulate

the subtraction postulate

A quantity may be substituted for its equal in any statement o…

A whole is equal to the sum of its parts. A segment and an ang…

if a=b and c=d then a+c=b+d. If congruent segments or angles a…

if a=b and c=d then a-c=b-d, if equal quantities are subtracte…

the substitution postulate

A quantity may be substituted for its equal in any statement o…

the partition postulate

A whole is equal to the sum of its parts. A segment and an ang…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Postulate

a=b A quantity is equal to itself.

if a=b then b=a A quantity maybe expressed in either order.

if a=b b=c then a=c quantities equal to the same quantity that…

A quantity may be substitution for its equal in any statement…

Reflexive Property of Equality

a=b A quantity is equal to itself.

Symmetric Property of Equality

if a=b then b=a A quantity maybe expressed in either order.

Linear Pair postulate

Segment addition postulate

Angle Addition Postulate

Addition Property of equality

If two angles form a linear pair then the angles are supplemen…

If point B is on line segment AC and between point A and C the…

If point D lies in the interior of angle ABC then the measure…

If A,B and C are real numbers and a = b then a + c = b + c

Linear Pair postulate

If two angles form a linear pair then the angles are supplemen…

Segment addition postulate

If point B is on line segment AC and between point A and C the…