# Study sets matching "postulates geometry properties"

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Reflexive Property

Symmetric Property

Transitive Property

Addition Postulate

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

If a=b, then b=a

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

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

Reflexive Property

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

Symmetric Property

If a=b, then b=a

Vertical Angles

Linear Pair Postulate

Triangle Sum Theorem

Definition of Complementary

Vertical Angles are congruent

Angles that forma a linear pair are supplementary

the sum of the interior angles of a triangle is 180 degrees

two angles whose measures add to 90 degrees

Vertical Angles

Vertical Angles are congruent

Linear Pair Postulate

Angles that forma a linear pair are supplementary

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

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.

The measure of ∠AOB, which can be written as m∠AOB, is equal t…

If P is in the interior of ∠RST, then the measure of ∠RST is e…

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.

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…

Vertical Angles

Linear Pair Postulate

Triangle Sum Theorem

Definition of Complementary

Vertical Angles are congruent

Angles that forma a linear pair are supplementary

the sum of the interior angles of a triangle is 180 degrees

two angles whose measures add to 90 degrees

Vertical Angles

Vertical Angles are congruent

Linear Pair Postulate

Angles that forma a linear pair are supplementary

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

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.

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…

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

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

Through any ___ points, there is/are ex…

If ___ distinct lines intersect, the in…

If ___ distinct planes intersect, then…

Through any _____ non collinear point(s…

two, one

two, one

two, one

three, one

Through any ___ points, there is/are ex…

two, one

If ___ distinct lines intersect, the in…

two, one

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

Subtraction Postulate

Multiplication Postulate

Division Postulate

Substitution Postulate

If equal quantities are subtracted from equal quantities, the…

If equal quantities are multiplied by equal quantities, the pr…

If equal quantities are divided by equal nonzero quantities, t…

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

Subtraction Postulate

If equal quantities are subtracted from equal quantities, the…

Multiplication Postulate

If equal quantities are multiplied by equal quantities, the pr…

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

ruler postulate

segment addition postulate

protractor postulate

angle addition postulate

the distance between points A and B, written as AB, is the abs…

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

the measure of ∠AOB, which can be written as m∠AOB, is equal t…

if b is in the interior of ∠COA, then m∠COA is equal to the su…

ruler postulate

the distance between points A and B, written as AB, is the abs…

segment addition postulate

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

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

The property that states that if you add the same number to bo…

States that when both sides of an equation have the same numbe…

states that if you multiply both sides of an equation by the s…

states that if you divide both sides of an equation by the sam…

Addition Property of Equality

The property that states that if you add the same number to bo…

Subtraction Property of Equality

States that when both sides of an equation have the same numbe…

Linear Pair Postulate

Segment Addition Postulate

Angle Addition Postulate

Addition Property

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

If you have a line made up of pieces, add the small pieces to…

If P is in the interior of <RST, then m<RSP + m<PST = m<RST (P…

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

Linear Pair Postulate

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

Segment Addition Postulate

If you have a line made up of pieces, add the small pieces to…

Addition Property

Subtraction Property

Multiplication Property

Division 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... "…

You can multiply both sides of the EQUATION by the EQUAL things

You can divide both sides of an EQUATION by EQUAL things long…

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... "…

inductive reasoning

counterexample

conjecture

truth value

uses numbers or specific examples to arrive at a plausible gen…

An example which disproves a proposition.

is an educated guess based on known information

the truth or falsity of a statement

inductive reasoning

uses numbers or specific examples to arrive at a plausible gen…

counterexample

An example which disproves a proposition.

Definition of Congruent Segments

Definition of Congruent Angles

Segment Addition Postulate

Definition of Midpoint

If AB≅XY Then AB=XY

If ∠1≅∠3 Then m∠1=m∠3

I B is between A and C Then AB+BC_AC

If M is the midpoint of AB Then AM = MB

Definition of Congruent Segments

If AB≅XY Then AB=XY

Definition of Congruent Angles

If ∠1≅∠3 Then m∠1=m∠3

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…

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

Transitive Property (angles)

Transitive Property (segments)

Substitution Property

Angle-Side-Angle Postulate

If angles are congruent to the same angle, then they are congr…

If segments are congruent to the same segment, then they are c…

A value may be substituted for its equal in any expression

If two angles and the included side are congruent to the corre…

Transitive Property (angles)

If angles are congruent to the same angle, then they are congr…

Transitive Property (segments)

If segments are congruent to the same segment, then they are c…

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one pl…

A line contains 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 noncollinear points, there is exactly one pl…