#### 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…

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…

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.

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

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…

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…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

1) Scale- can match points on line with numbers... 2) Distance b…

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…

Ruler Postulate

1) Scale- can match points on line with numbers... 2) Distance b…

Segment Addition Postulate

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 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.

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…

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…

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…

A line segment has exactly ONE midpoint

Postulate 1

Two points determine a line

Postulate 2

Three noncollinear points determine a plane

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Through any two points there is exactly one line

If two distinct lines intersect, then they intersect in exact…

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

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

Postulate 1

Through any two points there is exactly one line

Postulate 2

If two distinct lines intersect, then they intersect in exact…

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 =…

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 =…

Reflexive Property

Transitive Property

symmetric property

addition property

A quantity is equal to itself (ab=ab)

If 2 quantities are equal to the same quantity, then they are…

If a quantity is equal to a second quantity, then the second…

if equal quantities are added to equal quantities, then the s…

Reflexive Property

A quantity is equal to itself (ab=ab)

Transitive Property

If 2 quantities are equal to the same quantity, then they are…

through any two points

through any three noncollinear points

if two points lie on a plane

the intersection of two lines

there is exactly one line

there is exactly one plane

then the line containing those points is also on the plane

is exactly one point

through any two points

there is exactly one line

through any three noncollinear points

there is exactly one plane

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 congr…

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

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…

Corresponding Angles

Segment Addition

Angle Addition

SSS Congruence

When two parallel lines are cut by a transversal , the result…

In a line segment, two smaller segments equal the larger segm…

2 angles equal the amount of the overpair if they are adjacen…

Side Side Side for triangles

Corresponding Angles

When two parallel lines are cut by a transversal , the result…

Segment Addition

In a line segment, two smaller segments equal the larger segm…