# 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…

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

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…

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

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

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.

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

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=…

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…

Commutative Property of Addition

Communitive property of multiplication

Associative Property of Addition

Associative Property of Addition

a+b=b+a

ab=ba

(a + b) + c = a + (b + c)

(a + b) + c = a + (b + c)

Commutative Property of Addition

a+b=b+a

Communitive property of multiplication

ab=ba

supplementary angles

complementary angles

linear pair

segment addition postulate

two angles with a sum of 180 degrees

two angles with a sum of 90 degrees

angles that are adjacent and supplementary

if point B is on line AC and between points A and C, then AB +…

supplementary angles

two angles with a sum of 180 degrees

complementary angles

two angles with a sum of 90 degrees

2.1

2.2

2.3

2.4

Through any two points, there is exactly one line

Through any three non-collinear points, there is exactly one p…

A line contains at least two points

A plane contains at least three non-collinear points

2.1

Through any two points, there is exactly one line

2.2

Through any three non-collinear points, there is exactly one p…

postulate 5

postulate 6

postulate 7

postulate 8

through any two points there exists exactly 1 line

a line contains at least 2 points

if 2 lines intersect, then there intersection is exactly 1 poi…

through any 3 non collinear points there exists exactly 1 plane

postulate 5

through any two points there exists exactly 1 line

postulate 6

a line contains at least 2 points

2-1

2-2

2-3

2-4

Through any two points, there is exactly one line

Through any three points not on the same line, there is exactl…

A line contains at least two points

A plane contains at least three point not on the same line

2-1

Through any two points, there is exactly one line

2-2

Through any three points not on the same line, there is exactl…

Ruler Postulate

Angle Addition Postulate

Law of Detachment

Law of Syllogism

all points on a line can be paired with real numbers

If point P is on the interior of <ABC then <ABP + <PBC = <ABC

if p > q is true and p is true, then q is true

If p > q is true and q > r is true, then p > r is true

Ruler Postulate

all points on a line can be paired with real numbers

Angle Addition Postulate

If point P is on the interior of <ABC then <ABP + <PBC = <ABC