# 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…

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.

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

through any two points

through any three noncollinear points

on any line

on any plane

there is exactly one line

there is exactly one plane

there are at least two points

there are at least 3 noncollinear points

through any two points

there is exactly one line

through any three noncollinear points

there is exactly one plane

Postulate 1 (Ruler)

Postulate 2 (Segment Addition)

Postulate 5

Postulate 6

Points in a line can be matched 1:1 with real numbers. The rea…

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

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

Through any two points there is exactly one line

Postulate 1 (Ruler)

Points in a line can be matched 1:1 with real numbers. The rea…

Postulate 2 (Segment Addition)

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

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 there 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 5

Postulate 6

Postulate 7

Postulate 8

Through any 2 distinct points there exists exactly one line.

A line contains at least 2 points.

If 2 lines intersect, then their intersection is exactly one p…

Through any 3 noncollinear points there exists one plane

Postulate 5

Through any 2 distinct points there exists exactly one line.

Postulate 6

A line contains at least 2 points.

Line Postulate

Line Intersection Postulate

Midpoint Postulate

Angle Bisector Postulate

You can construct... exactly one line through any... two points. In…

The intersection of two distinct lines is exactly one point.

You can construct exactly one midpoint on any line segment.

You can construct exactly one angle bisector in any angle.

Line Postulate

You can construct... exactly one line through any... two points. In…

Line Intersection Postulate

The intersection of two distinct lines is exactly one point.

Segment Addition Postulate

Angle Addition Postulate

right angle

obtuse angle

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

If P is in the interior of <RST, then m<RSP + m<PST = m<RST

90 degrees

An angle that measures more than 90 degrees but less than 180…

Segment Addition Postulate

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

Angle Addition Postulate

If P is in the interior of <RST, then m<RSP + m<PST = m<RST

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 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 noncollinear points there is exactly one pla…

Postulate 1-1

Through any two points there is exactly one line.

Postulate 1-2

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The distance between any 2 points on a number line is the abso…

If 3 points, A, B, and C are collinear and B is between A and…

The measure of <AOB, which can be written as m<AOB, is equal t…

If P is in the interior of <RST, then the measure of <RST is e…

Ruler Postulate

The distance between any 2 points on a number line is the abso…

Segment Addition Postulate

If 3 points, A, B, and C are collinear and B is between A and…

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…

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.

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

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.

Given AB and a point O on AB, all rays that can be drawn from…

If S is in the interior of angle PQR, then the measure of angl…

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.

Transitive Postulate

Substitution Postulate

Partition Postulate

Reflexive Postulate

Things equal to the same or equal things are equal to each oth…

A quantity may be substituted for its equal in any expression…

The whole equals the sum of its parts

Any quantity equals itself b=b

Transitive Postulate

Things equal to the same or equal things are equal to each oth…

Substitution Postulate

A quantity may be substituted for its equal in any expression…

supplement theorem

complement theorem

segment addition postulate

angle addition postulate

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

if non common sides of 2 adjacent angles form a right angle, t…

if we are given two points on a line segment, A and C, a third…

If point B lies in the interior of angle AOC, then. . The post…

supplement theorem

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

complement theorem

if non common sides of 2 adjacent angles form a right angle, t…

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.

Postulate 1

Postulate 2

The Ruler Postulate

Corollary to Ruler Postulate

Two points determine a line

Three noncollinear points determine a plane

The points on a line can be numbered so that positive number d…

A line segment has exactly ONE midpoint

Postulate 1

Two points determine a line

Postulate 2

Three noncollinear points determine a plane

Postulate 1

Postulate 2

Postulate 3

Postulate 4

To draw a straight line from any point to any point

To produce a finite straight line continuously in a straight l…

To describe a circle with any center and radius

That all right angles equal one another

Postulate 1

To draw a straight line from any point to any point

Postulate 2

To produce a finite straight line continuously in a straight l…

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.

#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