# Study sets matching "geometry 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, then a + c = b + c

If a = b, then a - c = b - c

If a = b, then (a)(c) = (b)(c)

If a = b, c not equal to "zero", then a/c = b/c

Addition Property of Equality

If a = b, then a + c = b + c

Subtraction Property of Equality

If a = b, then a - c = b - c

Reflexive Property

Symmetric Property

Transitive Property

Congruent Supplementaries

When anything is congruent or equal to itself

When you switch the order of two things that are congruent or…

If A equals B and B equals C then A equals C

If two angles are supplements of the same angle then they are…

Reflexive Property

When anything is congruent or equal to itself

Symmetric Property

When you switch the order of two things that are congruent or…

Postulate

Corresponding Angles Postulate

Properties of a rhombus

Properties of a rectangle

Or axiom, is a statement that is accepted as true without proo…

If two parallel lines are cut by a transversal, then the pairs…

If a quadrilateral is a rhombus, then it is a parallelogram ... I…

If a quadrilateral is a rectangle, then it is a parallelogram…

Postulate

Or axiom, is a statement that is accepted as true without proo…

Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then the pairs…

Definition of Congruent

Definition of Midpoint

Definition of Bisector

Segment Addition Postulate

Segments are congruent if and only if the distance between the…

A point on a segment is the midpoint if it divides the segment…

A segment is bisected if and only if it is divided into 2 cong…

If B is between A and C (points must be collinear), then AB +…

Definition of Congruent

Segments are congruent if and only if the distance between the…

Definition of Midpoint

A point on a segment is the midpoint if it divides the segment…

Reflexive Property of Equality/Congruen…

Symmetric Property of Equality/Congruen…

Transitive Property of Equality/Congrue…

Substitution Property of Equality

A quantity/geometric figure is equal to itself

An Equality/Congruence may be reversed

If quantities/geometric figures are equal/congruent to the sam…

A quantity may be substituted for its equal in any expression

Reflexive Property of Equality/Congruen…

A quantity/geometric figure is equal to itself

Symmetric Property of Equality/Congruen…

An Equality/Congruence may be reversed

commutative property of addition

distributive property

addition property of equality

subtraction property of equality

a + b = b +a

a(b + c) = ab + ac

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

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

commutative property of addition

a + b = b +a

distributive property

a(b + c) = ab + ac

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If a = b, then a + c = b + c

If a = b, then a - c = b - c

If a = b, then (a)(c) = (b)(c)

If a = b, c not equal to "zero", then a/c = b/c

Addition Property of Equality

If a = b, then a + c = b + c

Subtraction Property of Equality

If a = b, then a - c = b - c

If a + b, then a + b = b + c

If a = b, then a - c = b - c

If a = b, then a(c) = b(c)

If a = b and c doesn't equal zero, then…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of equality

Division Property of Equality

If a + b, then a + b = b + c

Addition Property of Equality

If a = b, then a - c = b - c

Subtraction Property of Equality

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Congruent Supplements Theorem

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

If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

If two angles form a linear pair, then they are supplementary

If two angles are supplementary to the same angle (or to two c…

Segment Addition Postulate

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

Angle Addition Postulate

If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be put into a one-to-one corresponden…

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

Given line AB and point O on line AB, all rays that can be dra…

If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

Ruler Postulate

The points on a line can be put into a one-to-one corresponden…

Segment Addition Postulate

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

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Reflexive Property of Congruence

If there is a quantity, then it is equal to itself

If a=b, then b=a

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

If there is a quantity, then it is congruent to itself

Reflexive Property of Equality

If there is a quantity, then it is equal to itself

Symmetric Property of Equality

If a=b, then b=a

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... "…

Addition property of equality

Subtraction property of equality

Multiplication property of equality

Division property of equality

If a=b, then a+c=b+c

If a=b, then a-c=b-c

If a=b, then a•c=b•c

If a=b and c≠0, then a/c=b/c

Addition property of equality

If a=b, then a+c=b+c

Subtraction property of equality

If a=b, then a-c=b-c

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Adding the same number to both sides of an equation.

Subtracting the same number from both sides of an equation.

Multiplying the same number to both sides of an equation.

Dividing both sides of an equation by the same number.

Addition Property of Equality

Adding the same number to both sides of an equation.

Subtraction Property of Equality

Subtracting the same number from both sides of an equation.

coordinate midpoint property

segment additive property

angle addition property

linear pair theorem

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

if D is on the interior of Angle ABC,... then m Angle ABD + m Ang…

if two angles form a linear pair,... then the two angles are supp…

coordinate midpoint property

segment additive property

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

postulate

theorem

Postulate 2-1

Postulate 2-2

accepted as true without proof

a true statement that follows as a result of other true statem…

through any two points, there is exactly one line

through three non-collinear points, there is exactly one plane

postulate

accepted as true without proof

theorem

a true statement that follows as a result of other true statem…

Through any two points,

Through any 3 noncollinear points,

A line contains

A plane contains

there is exactly one line

there is exactly one plane

at least 2 points

at least 3 noncollinear points

Through any two points,

there is exactly one line

Through any 3 noncollinear points,

there is exactly one plane

Segment Addition Postulate

Angle Addition Postulate

Postulate 5

Postulate 6

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

If P is in the interior of angle RST, then the measure of angl…

Through any two points there exists exactly one line.

A line contains at least two points.

Segment Addition Postulate

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

Angle Addition Postulate

If P is in the interior of angle RST, then the measure of angl…

Always - Sometimes - Never: Two planes…

Always - Sometimes - Never: Perpendicul…

Always-Sometimes-Never: Two noncollinea…

If b - 7 = 7, then b = 14.

Sometimes - 2 planes don't always intersect

Always - perpendicular lines intersect and form right angles

Never - 3 noncollinear points form a plane

Addition Propertry of Equality

Always - Sometimes - Never: Two planes…

Sometimes - 2 planes don't always intersect

Always - Sometimes - Never: Perpendicul…

Always - perpendicular lines intersect and form right angles

Postulate 1-2-1 (Ruler Postulate)

Postulate 1-2-2 (Segment Addition Postu…

Postulate 1-3-1 (Protractor Postulate)

Postulate 1-3-2 (Angle Addition Postula…

The points on a line can be put into a one-to-one corresponden…

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

Given AB and a point O on AB, all rays that can be drawn from…

If ray S is in the interior of <PQR then the m<PQS + m<SQR = m…

Postulate 1-2-1 (Ruler Postulate)

The points on a line can be put into a one-to-one corresponden…

Postulate 1-2-2 (Segment Addition Postu…

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

The Reflexive property of equality

The symmetric property of equality

The transitive property of equality

The substitution postulate

A quantity equals itself... A=A

An equality can be expressed in any order... A=B, B=A

If A=B, B=C, then A=C

A quantiyy can be substituted for its equal in any statement o…

The Reflexive property of equality

A quantity equals itself... A=A

The symmetric property of equality

An equality can be expressed in any order... A=B, B=A

Through any two points...

In any line...

Through three non-collinear points...

Ruler postulate :

There exists exacty one line.

There exits at least two points.

There exits exactly one plane.

• on a number line every point can be paired with a number and…

Through any two points...

There exists exacty one line.

In any line...

There exits at least two points.

Postulate 1

Postulate 2

Postulate 3: Ruler Postulate

Postulate 4: Protactor Postulate

Two points determine a line

Three noncollinear points determine a plane

The points on a line can be number so that positive number dif…

The rays in a half-rotation can be numbered from 0 to 180 so t…

Postulate 1

Two points determine a line

Postulate 2

Three noncollinear points determine a plane

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

A quantity is congruent (equal) to itself. a = a

If a=b, then b=a... A quantity may be expressed in either order

If AB = CD, and CD = EF, then AB = E... If two quantities are equ…

if a=b, then a may be replaced by b and b may be replaced by... a…

Reflexive Property

A quantity is congruent (equal) to itself. a = a

Symmetric Property

If a=b, then b=a... A quantity may be expressed in either order