# 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…

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…

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.

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

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…

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 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

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…

1-1

1-2

1-3

1-4

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

Through any two points there is exactly one line.

1-2

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

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.

Ruler Postulate

Segment Addition Postulate

Protector Postulate

Angle Addition Postulate

AB = distance between endpoints

AB+BC=AC if B is between A and C

Ruler Postulate for Angles

Segment Addition Postulate for Angles

Ruler Postulate

AB = distance between endpoints

Segment Addition Postulate

AB+BC=AC if B is between A and C

Addition Property of Equality

Multiplication Property of Equality

Division Property of Equality

Substitution Property

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

If a = b, then ac = bc

If a = b, then a/c=b/c, if C≠0

If a = b, then either may be substituted for the other.

Addition Property of Equality

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

Multiplication Property of Equality

If a = b, then ac = bc

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

Postulate

Theorem

Proof

POE

a statement that is accepted without proof. Basic ideas about…

a statement with proof that is accepted as true

a logical argument in which each statement you make is support…

property of congruence

Postulate

a statement that is accepted without proof. Basic ideas about…

Theorem

a statement with proof that is accepted as true

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

a + b = b +a

ab = ba

(a + b) + c = a + (b + c)

(ab)c = a(bc)

commutative property of addition

a + b = b +a

commutative property of multiplication

ab = ba