#### Study sets matching "postulates"

#### Study sets matching "postulates"

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…

AB + BC = AC (part + part = whole)

m∠ABC = m∠ABP + m∠CBP ... (part + part = w…

exactly 1 line.

2 points.

P2 - The Segment Addition Postulate... If B is between points A a…

P4 - The Angle Addition Postulate... If P is a point interior to…

P5... Through any two points there exists

P6... A line contains at least

AB + BC = AC (part + part = whole)

P2 - The Segment Addition Postulate... If B is between points A a…

m∠ABC = m∠ABP + m∠CBP ... (part + part = w…

P4 - The Angle Addition Postulate... If P is a point interior to…

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

Line Postulate

Line Intersection Postulate

Segment duplication Postulate

Angle Duplication Postulate

You can construct exactly one line through any two points

The intersection of two distinct lines is exactly one point

You can construct a segment congruent to another segment

You can construct an angle congruent to another angle

Line Postulate

You can construct exactly one line through any two points

Line Intersection Postulate

The intersection of two distinct lines is exactly one point

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

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.

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.

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…

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

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

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 paired in a one to one corresponde…

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

xxx Given a point, X, on PR, consider XP and XR, as well as al…

xxx If point D is in the interior of ABC, then m ABD + m DBC =…

Ruler Postulate

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

Segment Addition Postulate

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

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…

segment addition postulate

angle addition postulate

addition property of equality

subtraction property of equality

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

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

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

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

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…

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

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…

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…

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

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.