# 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

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.

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 __…

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…

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

protractor postulate

angle addition postulate

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 measu…

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

ruler postulate

segment addition postulate

if point B is between A and C on the same line, 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…

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

#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

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 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.

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…

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…

Postulate

Parallel Postulate

Perpendicular Postulate

Ruler Postulate

Through any two points there exists exactly one line, Through…

If there is a linen a point that is not on the line, then ther…

If there is a linen a point that is not on the line, then ther…

a. To every pair of points there corresponds a unique positive…

Postulate

Through any two points there exists exactly one line, Through…

Parallel Postulate

If there is a linen a point that is not on the line, then ther…

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

through any two given points there is one line

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

If two distinct planes intersect, they intersect in exactly on…

Through any three noncollinear points there is exactly one pla…

Postulate 1-1

through any two given points there is one line

Postulate 1-2

If two distinct lines intersect, they intersect in 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.

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 1 - Ruler Postulate

Postulate 2 - Segment Addition Postulate

Postulate 3 - Protractor Postulate

Postulate 4 - The Angle Addition Postul…

The points on a line can be paired in a one-to-one corresponde…

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

Given a point X on line PR, consider rays XP and XR, as well a…

angles can be added the same way that segments are added. ... If…

Postulate 1 - Ruler Postulate

The points on a line can be paired in a one-to-one corresponde…

Postulate 2 - Segment Addition Postulate

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

Through two distinct points, there is e…

The measure of any line segment is a un…

If X is a point of segment AB and A-X-B…

If two lines intersect, they intersect…

Postulate 1

Postulate 2: Ruler Postulate

Postulate 3: Segment-Addition Postulate

Postulate 4

Through two distinct points, there is e…

Postulate 1

The measure of any line segment is a un…

Postulate 2: Ruler Postulate

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.