#### 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…

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…

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

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.

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…

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 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

through any two points there exists exactly one line

A line contains at least two points

Two lines intersect at least at two points

through any three non-collinear points, there exists exactly…

Postulate 1-1

through any two points there exists exactly one line

Postulate 1-2

A line contains at least two points

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 =…

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

Corresponding Angles Postulate

Corresponding Angles Converse

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…

If two lines are cut by a transversal so that the correspondi…

If two lines are cut by a transversal, then the pairs of corr…

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

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…

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…

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=I…

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

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Two points determine a line

Three points determine a plane

If two lines intersect, then their intersection is a point

If two planes intersect, then their intersection is a line

Postulate 1

Two points determine a line

Postulate 2

Three points determine a plane

2.1

2.2

2.3

2.4

Through any two points, there is exactly one line.

Three noncollinear points are contained in one and only one p…

A line contains at least two points.

Every plane contains at least three noncollinear points.

2.1

Through any two points, there is exactly one line.

2.2

Three noncollinear points are contained in one and only one p…

ruler postulate

protracture postulate

Angle addition postulate

segment addition postulate

Ruler Postulate Summary. On a number line, every point can be…

The Protractor Postulate. Given line AB and a point O on line…

The angle addition postulate states that if B is in the inter…

The segment addition postulate is a fairly obvious-seeming po…

ruler postulate

Ruler Postulate Summary. On a number line, every point can be…

protracture postulate

The Protractor Postulate. Given line AB and a point O on line…

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

postulates

Angle Addition Postulate

Linear Pair Postulate

Segment Addition Postulate

Rules that are accepted without proof

If P is in the interior of <RST, then m<RSP + m<PST = m<RST

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

If E is between A and C, then AE + EC = AC

postulates

Rules that are accepted without proof

Angle Addition Postulate

If P is in the interior of <RST, then m<RSP + m<PST = m<RST

reflective property

Side side side

side angle side

angle side angle

any segment or angle is congruent to itself

if 3 sides of one triangle is congruent to 3 sides of another…

if 2 sides plus including angle of one triangle is congruent…

if 2 angles and their including sides of one triangle are con…

reflective property

any segment or angle is congruent to itself

Side side side

if 3 sides of one triangle is congruent to 3 sides of another…

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.

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.

Through any two points there is exactl…

Through any three non collinear points…

If two points lie in a plane then the…

If two lines intersect they intersect…

One Line

One Plane... (ignore ABC in corner)

Plane

One Point

Through any two points there is exactl…

One Line

Through any three non collinear points…

One Plane... (ignore ABC in corner)

postulate

postulate 1

postulate 2

postulate 3

something we assume to be true

through any two points there is exactly one line

if two distinct lines intersect then they intersect in exactl…

if two planes intersect, they intersect in one line

postulate

something we assume to be true

postulate 1

through any two points there is exactly one line

Postulate 1

Postulate 2

Postulate 3

Postulate 4

points on a line can be matched one to one with real numbers

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

the measure of aoc is equal to the absolute value of the dist…

if b is the interior of coa, then the measure of coa= the mea…

Postulate 1

points on a line can be matched one to one with real numbers

Postulate 2

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

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…

Postulate 2.1

Postulate 2

Postulate 3

Postulate 4

Through any 2 points there is exactly one line

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

A line contains at least 2 points

A plane contains at least three noncolinear points

Postulate 2.1

Through any 2 points there is exactly one line

Postulate 2

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

Through any two points, there exists e…

A line contains at least two points.

If two lines intersect, then their int…

Through any three noncollinear points,…

Two Point Postulate

Line-Point Postulate

Line Intersection Postulate

Three Point Postulate

Through any two points, there exists e…

Two Point Postulate

A line contains at least two points.

Line-Point Postulate

corresponding angles

alternate interior angles

alternate exterior angles

same side interior angles

theorem: if 2 parallel lines are cut by a transversal then th…

theorem: if two parallel lines are cut by a transversal then…

theorem: if 2 parallel lines are cut by a transversal then ea…

theorem: if two parallel lines are cut by a transversal then…

corresponding angles

theorem: if 2 parallel lines are cut by a transversal then th…

alternate interior angles

theorem: if two parallel lines are cut by a transversal then…

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

Ruler postulate

protractor postulate

Angle addition postulate

Segment addition postulate

every point can be paired with a number

rays that have the same end point can be traced with a number…

two angles add to make one

two segments add to make one.

Ruler postulate

every point can be paired with a number

protractor postulate

rays that have the same end point can be traced with a number…

Points, Line

Noncollinear, plane

Plane

lines, point

Through any two _____, there exists exactly one ______.

Through any three _______ points, there is exactly one ______

If two points lie in a ______, then the entire line containin…

If If two ______ intersect, then their intersection is exactl…

Points, Line

Through any two _____, there exists exactly one ______.

Noncollinear, plane

Through any three _______ points, there is exactly one ______

Ruler Postulate

Segment Addition Postulate

Distance Formula

Protractor Postulate

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

B is between A and C iff A B + B C = A C

The rays in a half rotation can be numbered from 0 to 180. Th…

Ruler Postulate

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

Segment Addition Postulate

B is between A and C iff A B + B C = A C

1-1-1... Points, Lines, and Planes

1-1-2... Points, Lines, and Planes

1-1-3... Points, Lines, and Planes

1-1-4... Intersection of lines and planes

Through any two points there is exactly one line

Through any three noncollinear points there is exactly one pl…

If two points lie in a plane, then the line containing those…

if two lines intersect, then they intersect in exactly one po…

1-1-1... Points, Lines, and Planes

Through any two points there is exactly one line

1-1-2... Points, Lines, and Planes

Through any three noncollinear points there is exactly one pl…

Ruler Postulate

Protractor Postulate

Angle Addition Postulate

Segment Addition Postulate

The ruler postulate tells us how to find the distance between…

Given line AB and a point O on line AB. Consider rays OA and…

The angle addition postulate states that if B is in the inter…

The segment addition postulate is a fairly obvious-seeming po…

Ruler Postulate

The ruler postulate tells us how to find the distance between…

Protractor Postulate

Given line AB and a point O on line AB. Consider rays OA and…

Corresponding angles theorem

Alternate interior angles theorem

Alternate exterior angles

Same side interior angles theorem

If two lines are cut by a transveral then the pairs if corr a…

If parallel then alt int angles congruent

If parallel cut by a transversal then alt ext angles congruent

If parallel same side interior angles supp

Corresponding angles theorem

If two lines are cut by a transveral then the pairs if corr a…

Alternate interior angles theorem

If parallel then alt int angles congruent

What is a postulate?

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

A true statement that does not require explanation

If one point is 0 and one is 1, you can assume a unit length…

If A, B, and C are collinear, then AB+BC=AC

On line AB in a given plane, choose any point O between A and…

What is a postulate?

A true statement that does not require explanation

Ruler Postulate

If one point is 0 and one is 1, you can assume a unit length…

2.1

2.2

2.3

2.4

Through any two points is exactly one line.

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

A line contains at least two points.

A plane contains at least three non collinear points

2.1

Through any two points is exactly one line.

2.2

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

postulate 1

postulate 2

postulate 3

postulate 4

through any two points there is exactly one line.

through any three non-collinear points there is exactly one p…

a line contains at least two points

a plane contains at least three non-collinear points.

postulate 1

through any two points there is exactly one line.

postulate 2

through any three non-collinear points there is exactly one p…

Postulate 1.1

Postulate 1.2

Postulate 1.3

Postulate 1.4

Between 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 noncollinear there is exactly one plane.

Postulate 1.1

Between any two points there is exactly one line.

Postulate 1.2

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

On a number line, every point can be paired with a number and…

The distance from one endpoint to the other is the sum of the…

Given line AB and a point O on line AB. Consider rays OA and…

The measure of the larger angle is the sum of the measures of…

Ruler Postulate

On a number line, every point can be paired with a number and…

Segment Addition Postulate

The distance from one endpoint to the other is the sum of the…