# Study sets matching "postulates"

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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.

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…

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

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

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, th…

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…

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…

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

Linear Pair Postulate

SSS Postulate

SAS Postulate

ASA Postulate

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

If all three sides of one triangle are congruent to all three…

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

Linear Pair Postulate

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

SSS Postulate

If all three sides of one triangle are congruent to all three…

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…

parallel postulate

perpendicular postulate

translation postulate

reflection postulate

if there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

a translation is a rigid motion

a reflection is a rigid motion

parallel postulate

if there is a line and a point not on the line, then there is…

perpendicular postulate

If there is a line and a point not on the line, then there is…

Postulate #1

Postulate #2

Postulate #3

Postulate #4

RULER POSTULATE - On a number line, every point can be paired…

SEGMENT ADDITION POSTULATE -

PROTRACTOR POSTULATE -

ANGLE ADDITION POSTULATE -

Postulate #1

RULER POSTULATE - On a number line, every point can be paired…

Postulate #2

SEGMENT ADDITION POSTULATE -

Side-Side-Side Congruence Postulate (SS…

Side-Angle-Side Congruence Postulate (S…

Hypotenuse-Leg Congruence Theorem (HL)

Angle-Side-Angle Congruence Postulate (…

- If three sides of one triangle are congruent to three sides…

- If two sides and the included angle of one triangle are cong…

- If the hypotenuse and a leg of a right triangle are congruen…

- If two angles and the included side of one triangle are cong…

Side-Side-Side Congruence Postulate (SS…

- If three sides of one triangle are congruent to three sides…

Side-Angle-Side Congruence Postulate (S…

- If two sides and the included angle of one triangle are cong…

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

postulate 5

postulate 6

postulate 7

postulate 8

Through any two points there is exactly one line

A line contains at least 2 points

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

Through any 3 non-collinear points there exist exactly one pla…

postulate 5

Through any two points there is exactly one line

postulate 6

A line contains at least 2 points

3.1 Corresponding Angles Postulate

3.2 Slopes of Parallel Lines Postulate

3.3 Slopes of Perpendicular Lines Postu…

3.4 Converse of Corresponding Angles Po…

if two parallel lines are cut by a transversal, then each pair…

two non vertical lines have the same slope if and only if they…

two non vertical lines are perpendicular if and only if the pr…

if two lines are cut by a transversal so that corresponding an…

3.1 Corresponding Angles Postulate

if two parallel lines are cut by a transversal, then each pair…

3.2 Slopes of Parallel Lines Postulate

two non vertical lines have the same slope if and only if they…

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.

Segment Addition Postulate

Angle Addition Postulate

Two Point Postulate

Line-Point Postulate

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

If ray B is a segment bisector of ∠ABC, then m∠AOB + m∠BOC = m…

Through any two points there exists exactly 1 line

A line contains at least 2 points

Segment Addition Postulate

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

Angle Addition Postulate

If ray B is a segment bisector of ∠ABC, then m∠AOB + m∠BOC = m…

Postulate

Postulate 1: Ruler Postulate

Postulate 2: Segment Addition Postulate

Postulate 3: Protractor Postulate

A statement that is accepted as true without proof.

The points on a line can be put into a one-to-one corresponden…

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

The measurement of an angle between two rays can be designated…

Postulate

A statement that is accepted as true without proof.

Postulate 1: Ruler Postulate

The points on a line can be put into a one-to-one corresponden…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Two points on a line can be paired with real numbers... (A=0,B=1…

AB+BC=AC

You can pair rays with real #s... (if OP=x and OQ=y then m<POQ=Ix…

exactly like segment addition postulate

Ruler Postulate

Two points on a line can be paired with real numbers... (A=0,B=1…

Segment Addition Postulate

AB+BC=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.

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.

Distance Postulate

Ruler Postulate

Ruler Placement Postulate

The Line Postulate

To every pair of different points there corresponds a unique p…

The points of a line can be placed in correspondence with the…

Given two points P and Q of a line, the coordinate system can…

For every two points there is exactly one line that contains b…

Distance Postulate

To every pair of different points there corresponds a unique p…

Ruler Postulate

The points of a line can be placed in correspondence with the…