# 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…

2.1 - Through any two points, there is…

2.2 - Through any three noncollinear po…

2.3 - A line contains at least two poin…

2.4 - A plane contains at least three n…

Line n is the only line through points P and R

Plane P is the only plane through non collinear points A,B,C

Line n contains points P, Q and R

Plane K contains noncollinear points L,B,C and E

2.1 - Through any two points, there is…

Line n is the only line through points P and R

2.2 - Through any three noncollinear po…

Plane P is the only plane through non collinear points A,B,C

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

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 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…

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…

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…

1.2 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…

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

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

Two Point 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…

If P is in the interior of angle RST, then angle RST = angle R…

Through any two points, there exists exactly one line

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, th…

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. If AB+BC=AC, then B is…

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

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

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. If AB+BC=AC, then B is…

postulate 1-1

postulate 1-2

postulate 1-3

postulate 1-4

through any two points there is exactly one line

if two lines intersect, they they intersect in exactly one poi…

if two planes intersect, then they intersect in exactly one li…

through any there non collinear points there is exactly one pl…

postulate 1-1

through any two points there is exactly one line

postulate 1-2

if two lines intersect, they they intersect in exactly one poi…

#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

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

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

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

Intersection of lines

Intersection of planes

Three non collinear points determine a…

Segment addition 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…

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

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…