# 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…

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…

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.

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

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…

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

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

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.

What is a postulate

Postulate: through any two points

Postulate: through any three no colline…

Postulate: two lines intersect in a

A statement that is accepted as true without proof

There is exactly one line

There is exactly one plane

Point (vertex)

What is a postulate

A statement that is accepted as true without proof

Postulate: through any two points

There is exactly one line

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

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,…

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 ac=bc

if a=b, then a/c=b/c c is ALMOST equal to

Addition Property of Equality

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

Subtraction Property of Equality

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

1-1 (two points)

1-2 (intersecting lines)

1-3 (intersecting planes)

1-4 (three points)

Through any two points there is exactly one line.

If two distinct lines intersect, then they intersect in exactl…

If two distinct planes intersect, then they intersect in exact…

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

1-1 (two points)

Through any two points there is exactly one line.

1-2 (intersecting lines)

If two distinct lines intersect, then they intersect in exactl…

Definition of Vertical Angles

Definiton of Congruency

Definition of Midpoint

Definition of a Square

two nonadjacent angles formed by two intersecting lines

having the same measure

the point on a segment exactly halfway between the endpoints o…

a quadrilateral with four right angles and four congruent sides

Definition of Vertical Angles

two nonadjacent angles formed by two intersecting lines

Definiton of Congruency

having the same measure

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, t…

Consider ray OB and a point A on one side of of ray OB. The ra…

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

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, t…

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

If two angles have the same measurement…

If the angles are congruent two angles…

If a point, X, is in the interior of <A…

segment addition postulate

definition of congruent angles

definition of congruent angles

angle addition postulate

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

segment addition postulate

If two angles have the same measurement…

definition of congruent angles