# Study sets matching "geometry proof postulates"

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Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Segment Addition Postulate

Angle Addition Postulate

Postulate 6

Postulate 7

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

add two angles together, you get a bigger angle, same vertex p…

Through any two points there is exactly one line

Through any three points there is at least one plane, and thro…

Segment Addition Postulate

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

Angle Addition Postulate

add two angles together, you get a bigger angle, same vertex p…

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Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

adjacent angles

liner pair

vertical angle

addition property of equality

share a common side and vertex

two adjacent angles that have a non common side and forms a li…

two non adjacent angles that are formed by two intersecting li…

if a, b and c are real numbers and a=b the a+c = b+c

adjacent angles

share a common side and vertex

liner pair

two adjacent angles that have a non common side and forms a li…

2.1 P Lines

2.2 P Planes

2.3 P Line

2.4 P Planes

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

2.1 P Lines

Through any two points, there is exactly one line

2.2 P Planes

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

segment addition postulate (SAP)

angle addition postulate (AAP)

addition property of equality

subtraction property of equality

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

Angles can be added together if they are adjacent

Adding a value to each side of an equation... if a=b, then a+c=b+c

subtracting a value from each side of an equation ... if a=b then…

segment addition postulate (SAP)

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

angle addition postulate (AAP)

Angles can be added together if they are adjacent

Angle Addition Postulate

Supplement Theorem

Complement Theorem

Congruent Supplements Thrm

If D is in the interior of <ABC, then m<ABD + m<DBC = m<ABC. (…

If 2 angles form a linear pair, then they are supplementary.

If the non-common sides of 2 adjacent angles form a right angl…

Angles supplementary to the same angle or to congruent angles…

Angle Addition Postulate

If D is in the interior of <ABC, then m<ABD + m<DBC = m<ABC. (…

Supplement Theorem

If 2 angles form a linear pair, then they are supplementary.

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Definition of Midpoint

Definition of Segment Bisector

Definition of Angle Bisector

Definition of Perpendicular

If D is the midpoint of AB then AD=DB (equal parts created).

If PM bisects AB, AM=MB.

If XB bisects angle ABC, then <ABX is congruent to <XBC

Perpendicular Lines form right angles.

Definition of Midpoint

If D is the midpoint of AB then AD=DB (equal parts created).

Definition of Segment Bisector

If PM bisects AB, AM=MB.

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Ruler Postulate 1

Segment addition postulate 2

Protractor Postulate 3

Postulate 5

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 then B is between A a…

ConsiderOB and a point A on one side of OB. The Rays of the fo…

Through any two points there exists exactly one line

Ruler Postulate 1

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

Segment addition postulate 2

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

Rays can be matched in ankles from 0 degrees to 180 degrees by…

The measuring of a large angle will be equal to the sum of two…

Ruler Postulate

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

Segment Addition Postulate

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

Angle Addition Postulate

Segment Addition Postulate

Definition of Angle Bisector

Definition of Midpoint

m∠ABD+m∠DBC=m∠ABC

CA+AT=CT

(Given: BF→ bisects ∠ABC,∠ABF≅∠FBC) m∠ABF=m∠FBC

(Given: M is the midpoint of AB)... AM=MB

Angle Addition Postulate

m∠ABD+m∠DBC=m∠ABC

Segment Addition Postulate

CA+AT=CT

Definition of Midpoint

Definition of Segment Bisector

Definition of Right Angle

Definition of Complementary Angles

A point is a midpoint if and only if it divides the segment in…

A point, ray, line segment, or plane is a segment bisector if…

An angle is a right angle if and only if the measurement equal…

A pair of angles is complementary if and only if the sum of th…

Definition of Midpoint

A point is a midpoint if and only if it divides the segment in…

Definition of Segment Bisector

A point, ray, line segment, or plane is a segment bisector if…

Segment Addition postulate

Angle Addition postulate

Linear Pair postulate

Definition of Congruence

If M is between A and B, then AM+MB=AB.

If C is in the interior of ABD, then m<ABC+m<CBD=m<ABD.

If two angles form a linear paire, then they are supplementary.

If measures are equal, then parts are congruent.

Segment Addition postulate

If M is between A and B, then AM+MB=AB.

Angle Addition postulate

If C is in the interior of ABD, then m<ABC+m<CBD=m<ABD.

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

If two sides of one triangle are equal…

If two angles of one triangle are equal…

The sum of the interior angles of a qua…

If a quadrilateral is a parallelogram,…

Isosceles triangle theorem

Isosceles triangle theorem

Quadrilateral Angle Sum Theorem

Opposites sides of a parallelogram are equal

If two sides of one triangle are equal…

Isosceles triangle theorem

If two angles of one triangle are equal…

Isosceles triangle theorem

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If you add the same number to each side of an equation, the tw…

If you subtract the same number from each side of an equation,…

If a=b, then ac=bc

if a = b and c is not equal to 0, then a/c = b/c

Addition Property of Equality

If you add the same number to each side of an equation, the tw…

Subtraction Property of Equality

If you subtract the same number from each side of an equation,…

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Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any 2 points is exactly 1 line.

Through any 3 noncollinear points, there is exactly one plane.

A line contains at least 2 points.

A plane contains at least 3 noncollinear points.

Postulate 2.1

Through any 2 points is exactly 1 line.

Postulate 2.2

Through any 3 noncollinear points, there is exactly one plane.

addition POE

subtraction POE

multiplication POE

division POE

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 doesn't equal 0, then, a/c = b/c

addition POE

if a = b, then a + c = b + c

subtraction POE

if a = b, then a - c = b - c

If point B is on and between points A a…

If point D lies in the interior of ∠ABC…

If two angles are a linear pair, then t…

If two angles are vertical angles, then…

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Vertical Angles Theorem

If point B is on and between points A a…

Segment Addition Postulate

If point D lies in the interior of ∠ABC…

Angle Addition Postulate