# Study sets matching "geometry postulates proofs"

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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…

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 (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

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…

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

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

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

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

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.

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 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,…

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 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

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

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

2:1

2:2

2:3

2:4

Through any 2 points is a line.

Through any three collinear points, there is exactly one plane.

A line that contains at least two points.

A plane contains at least 3 noncollinear points.

2:1

Through any 2 points is a line.

2:2

Through any three collinear points, there is exactly one plane.

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