# Study sets matching "postulates"

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Intersection of lines

Intersection of planes

Three non collinear points determine a…

Ruler Postulate

If two distinct lines intersect, they intersect at exactly one…

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

Through any three non collinear points, there is exactly one p…

Every point of a line can be placed in correspondence with a r…

Intersection of lines

If two distinct lines intersect, they intersect at exactly one…

Intersection of planes

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

1.1 Ruler Postulate

1.2 Segment Addition Postulate

1.3 Protractor Postulate

1.4 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, th…

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

If P is in the interior of andgle RST, then the measure of ang…

1.1 Ruler Postulate

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

1.2 Segment Addition Postulate

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

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any 2 points there is exactly one line

Through any 3 non collinear points there is exactly 1 plane

A line contains at least 2 points

A plane contains at least three non collinear points

Postulate 2.1

Through any 2 points there is exactly one line

Postulate 2.2

Through any 3 non collinear points there is exactly 1 plane

Line

Plane

Line

Point

Through any two points there is exactly one _______.

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

If two points lie in a plane, then the _____ containing those…

If two lines intersect, then they intersect in exactly one ___…

Line

Through any two points there is exactly one _______.

Plane

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

Ruler Postulate (Postulate 1)

Segment Addition Postulate (Postulate 2)

Protractor Postulate (Postulate 3)

Angle Addition Postulate (Postulate 4)

1. The points on a line can be paired with the real numbers in…

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

On Line AB in a given plane, choose any point O between A and…

If point B lie in the interior of ∠AOC, then m∠AOB+m∠BOC=m∠AOC.

Ruler Postulate (Postulate 1)

1. The points on a line can be paired with the real numbers in…

Segment Addition Postulate (Postulate 2)

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

2.1 - Points, Lines, and Planes Postula…

2.2 - Points, Lines, and Planes Postula…

2.3 - Points, Lines, and Planes Postula…

2.4 - Points, Lines, and Planes Postula…

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 - Points, Lines, and Planes Postula…

Through any two points, there is exactly one line.

2.2 - Points, Lines, and Planes Postula…

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

Intersection of lines

Intersection of planes

Three non collinear points determine a…

Ruler Postulate

If two distinct lines intersect, they intersect at exactly one…

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

Through any three non collinear points, there is exactly one p…

Every point of a line can be placed in correspondence with a r…

Intersection of lines

If two distinct lines intersect, they intersect at exactly one…

Intersection of planes

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

ruler postulate (1.1)

segment addition postulate (1.2)

protractor postulate (1.3)

angle addition postulate (1.4)

if point B is between A and C on the same line, AB+BC=AC

if OA is paired with 55°and OB is paired with 180°, the measur…

the measure of AOB plus the measure of BOC equals the measure…

ruler postulate (1.1)

segment addition postulate (1.2)

if point B is between A and C on the same line, AB+BC=AC

Postulate 5

Postulate 6

Postulate 7

Postulate 8

A line contains at least two points; a plane contains at least…

Through any two points there is exactly one line.

Through any three points there is a least one plane, and throu…

If two points are in a plane, then the line that contains the…

Postulate 5

A line contains at least two points; a plane contains at least…

Postulate 6

Through any two points there is exactly one line.

Intersection of lines

Intersection of planes

Three non collinear points determine a…

Ruler Postulate

If two distinct lines intersect, they intersect at exactly one…

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

Through any three non collinear points, there is exactly one p…

Every point of a line can be placed in correspondence with a r…

Intersection of lines

If two distinct lines intersect, they intersect at exactly one…

Intersection of planes

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

Postulate

Postulate 1 (Ruler Postulate)

Postulate 2 (Segment Addition Postulate)

Postulate 3 (Protractor Postulate)

assumptions accepted without proof

1. points on a line can be paired with real numbers in such a…

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

Postulate

assumptions accepted without proof

Postulate 1 (Ruler Postulate)

1. points on a line can be paired with real numbers in such a…

Segment Addition Postulate

Angle Addition Postulate

The Linear Pair Theorem

Corresponding Parts of Congruent Figure…

Let A, B, and C be collinear points. If B is between A and C,…

If S is in the interior of ∠PQR, then m∠PQR = m∠PQS + m∠SQR.

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

If two figures are congruent, then corresponding sides and ang…

Segment Addition Postulate

Let A, B, and C be collinear points. If B is between A and C,…

Angle Addition Postulate

If S is in the interior of ∠PQR, then m∠PQR = m∠PQS + m∠SQR.

Two point Postulate

Line-Point Postulate

Line Intersection Postulate

Three Point Postulate

Through any two points, there exists exactly one line

A line contains at least two points.

If two lines intersect, then their intersection is exactly one…

Through any three noncollinear points, there exists exactly on…

Two point Postulate

Through any two points, there exists exactly one line

Line-Point Postulate

A line contains at least two points.

Postulate 1: The Ruler Postulate

Postulate 2: Segment Addition Postulate

Postulate 3: Protractor Postulate

Postulate 4: Angle Addition Postulate

the points on a line can be paired with the real numbers in su…

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

On line AB in a given plane, choose any point O between A and…

If point B lies in the interior of <AOC, then m<AOB + m<BOC =…

Postulate 1: The Ruler Postulate

the points on a line can be paired with the real numbers in su…

Postulate 2: Segment Addition Postulate

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

1.2 Segment Addition Postulate

1.4 Angle Addition Postulate

2.1 Two Point Postulate

2.2 Line-Point Postulate

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

If P is in the interior of andgle RST, then the measure of ang…

Through any two points, there exists exactly one line.

A line contains at least two points.

1.2 Segment Addition Postulate

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

1.4 Angle Addition Postulate

If P is in the interior of andgle RST, then the measure of ang…

Reflexive postulate

Symmetric postulate

Transitive postulate

Substitution postulate

A quantity is equal to itself... Ex: Line bc = line bc, angle a=…

An equality may be expressed in either order( commutative prop…

If two quantities are equal to the same quantity, then they ar…

Equal quantities can be substituted ... Ex: if a+b=c and b=d then…

Reflexive postulate

A quantity is equal to itself... Ex: Line bc = line bc, angle a=…

Symmetric postulate

An equality may be expressed in either order( commutative prop…

Intersection of lines

Intersection of planes

Three non collinear points determine a…

Ruler Postulate

If two distinct lines intersect, they intersect at exactly one…

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

Through any three non collinear points, there is exactly one p…

Every point of a line can be placed in correspondence with a r…

Intersection of lines

If two distinct lines intersect, they intersect at exactly one…

Intersection of planes

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

Postulate/Axiom

Postulate 1-1

Postulate 1-2

Postulate 1-3

Accepted statement or fact

through any two points there is exactly one line

if two distinct lines intersect then they intersect at exactly…

if two distinct places intersect then they intersects at exact…

Postulate/Axiom

Accepted statement or fact

Postulate 1-1

through any two points there is exactly one line

1.1 Ruler Postulate

1.2 Segment Addition Postulate

1.3 Protractor Postulate

1.4 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, th…

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

If P is in the interior of andgle RST, then the measure of ang…

1.1 Ruler Postulate

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

1.2 Segment Addition Postulate

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

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 cannot equal 0

Addition Property of Equality

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

Subtraction Property of Equality

If a=b, then a-c = b-c

Right Angles Congruence Theorem

Congruent Complements Theorem

Congruent Supplements Theorem

Linear Pair Postulate

All right angles are congruent.

If two angles are complementary to the same angle, (or to cong…

If two angles are supplementary to the same angle, (or to cong…

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

Right Angles Congruence Theorem

All right angles are congruent.

Congruent Complements Theorem

If two angles are complementary to the same angle, (or to cong…

through any two points

through any three noncollinear points

if two points lie on a plane

the intersection of two lines

there is exactly one line

there is exactly one plane

then the line containing those points is also on the plane

is exactly one point

through any two points

there is exactly one line

through any three noncollinear points

there is exactly one plane

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

1) Scale- can match points on line with numbers... 2) Distance be…

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

1) Scale... 2) Angle measure

1) If D is in the interior of angle ABC, then the measure of a…

Ruler Postulate

1) Scale- can match points on line with numbers... 2) Distance be…

Segment Addition Postulate

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

#1 Ruler Postulate

#2 Segment Addition Postulate

#3 Protractor Postulate

#4 Angle Addition Postulate

The points on a line can be matched 1 to 1 with a real number.…

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

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

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

#1 Ruler Postulate

The points on a line can be matched 1 to 1 with a real number.…

#2 Segment Addition Postulate

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

Postulate

Through any two distinct points there e…

If two lines intersect, then they inter…

If two planes intersect, then they inte…

An accepted statement of fact. ( does not need to be proven)

exactly one

exactly one

line

Postulate

An accepted statement of fact. ( does not need to be proven)

Through any two distinct points there e…

exactly one