# Study sets matching "properties postulates"

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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

two point postulate

line point postulate

line intersection postulate

three point postulate

Through any two points, there exists exactly one line

A line contains at least two points

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

through any three non-collinear points, there exists exactly o…

two point postulate

Through any two points, there exists exactly one line

line point postulate

A line contains at least two points

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

postulate

theorem

deductive reasoning

addition postulate

a statement whose truth value is accepted without proof

a statement that is proved through deductive reasoning

using the fact to formulate conclusions

if equal quantities are added to equal quantities the sums are…

postulate

a statement whose truth value is accepted without proof

theorem

a statement that is proved through deductive reasoning

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.

Segment Addition Postulate

Angle Addition Postulate

Addition Property

Subtraction Property

m<1 + m<2 = m<AOC

If AB = 4 and BC = 2 then AB + BC = 4 + 2

If m<A + 20 = 60, then m<A = 40... If a=b and c=d, then a-c=b-d

Segment Addition Postulate

Angle Addition Postulate

m<1 + m<2 = m<AOC

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.

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**2Ruler 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=…

2.1

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

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…

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…

postulate 2.1

postulate 2.2

postulate 2.3

postulate 2.4

through any two points, there is exactly one line.

through any three points,there is exactly one line.

a line containing at least two points

a plane contains at least three noncollinear points

postulate 2.1

through any two points, there is exactly one line.

postulate 2.2

through any three points,there is exactly one line.

Segment Addition Postulate

Midpoint Theorem

Angle Addition Postulate

Reflexive Property

If Q is between P and R, then PQ + QR = PR

If M is the midpoint of AB, then AM is congruent to MB

If R is in the interior of <PQS, then m<PQR + m<RQS = m<PQS

For every number a, a = a

Segment Addition Postulate

If Q is between P and R, then PQ + QR = PR

Midpoint Theorem

If M is the midpoint of AB, then AM is congruent to MB

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched one to one with the real n…

if B is between A and C, then AB+BC=AC. if AB+BC=AC, then B is…

the rays of the form OA can be matched one to one with the rea…

if P is in the interior of <RST, then m< RST=m<RSP + m<PST

Ruler Postulate

The points on a line can be matched one to one with the real n…

Segment Addition Postulate

if B is between A and C, then AB+BC=AC. if AB+BC=AC, then B is…