#### 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…

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

Consider line OB and a point A on one side of line OB. The ra…

If P is in the interior of andgle RST, then the measure of an…

1.1 Ruler Postulate

The points on a line can be matched one to one with the real…

1.2 Segment Addition Postulate

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

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

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

exactly 1 line.

2 points.

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

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

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

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

Intersection of lines

Intersection of planes

Three non collinear points determine a…

Ruler Postulate

If two distinct lines intersect, they intersect at exactly on…

If two distinct planes intersect, then they intersect in exac…

Through any three non collinear points, there is exactly one…

Every point of a line can be placed in correspondence with a…

Intersection of lines

If two distinct lines intersect, they intersect at exactly on…

Intersection of planes

If two distinct planes intersect, then they intersect in exac…

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

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 on…

Through any three noncollinear points, there exists exactly o…

Two Point Postulate

Through any two points, there exists exactly one line.

Line Point Postulate

A line contains at least two points.

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 i…

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 i…

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 ot…

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 ot…

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…

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…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched one to one with the real…

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

Consider line OB and a point A on one side of line OB. The ra…

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

Ruler Postulate

The points on a line can be matched one to one with the real…

Segment Addition Postulate

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

Through two distinct points, there is…

The measure of any line segment is a u…

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

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…

Postulate 1

The measure of any line segment is a u…

Postulate 2: Ruler Postulate

3.1 Corresponding Angles Postulate

3.2 Slopes of Parallel Lines Postulate

3.3 Slopes of Perpendicular Lines Post…

3.4 Converse of Corresponding Angles P…

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

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

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

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

3.1 Corresponding Angles Postulate

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

3.2 Slopes of Parallel Lines Postulate

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

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 on…

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

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 i…

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 i…

Segment Addition Postulate (Postulate 2)

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 on…

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

Through any three noncollinear points there is exactly one pl…

Postulate 1-1

through any two given points there is one line

Postulate 1-2

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

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

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

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 a…

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 correspond…

Segment Addition Postulate

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

Distance Postulate

Ruler Postulate

Ruler Placement Postulate

The Line Postulate

To every pair of different points there corresponds a unique…

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…

Distance Postulate

To every pair of different points there corresponds a unique…

Ruler Postulate

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

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

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 on…

Through any three noncollinear points, there exists exactly o…

two point postulate

Through any two points, there exists exactly one line.

line-point postulate

A line contains at least two points.