#### Study sets matching "geometry postulates"

#### Study sets matching "geometry postulates"

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one pl…

A line contains at least two points.

A plane contains at least three noncollinear points.

Postulate 2.1

Through any two points, there is exactly one line.

Postulate 2.2

Through any three noncollinear points, there is exactly one pl…

Three

Two

Line

One Line

A plane contains at least _____________ points, not on the sam…

A line contains at least ______________ points.

If two planes intersect, then their intersection is a ________…

Through any two points there is exactly __________ ___________…

Three

A plane contains at least _____________ points, not on the sam…

Two

A line contains at least ______________ points.

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Postulate

A quantity is equal to itself... a=a

An equality may be expressed in either order... If a=b, then b=a

Quantities equal to the same quantity are equal to each other.…

A quantity may be substituted for its equal and statement of e…

Reflexive Property of Equality

A quantity is equal to itself... a=a

Symmetric Property of Equality

An equality may be expressed in either order... If a=b, then b=a

2.1

2.2

2.3

2.4

Through any two points, there is exactly one line

Through any three points not on the same line there is exactly…

A line contains at least two points

Plane contains at least three points not on the same line

2.1

Through any two points, there is exactly one line

2.2

Through any three points not on the same line there is exactly…

Through any 2 points there is exactly o…

Through any 3 points NOT on the same li…

A line contains at least 2...

A plane contains at least 3 points...

Line

There is exactly one plane

Points

Not on the same line

Through any 2 points there is exactly o…

Line

Through any 3 points NOT on the same li…

There is exactly one plane

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Only 1 straight line can be drawn through 2 points; 2 points d…

A straight line is the shortest line connecting 2 points on a…

A line segment can be bisected at only 1 point.

2 lines in the same plane either intersect or are parallel. If…

Postulate 1

Only 1 straight line can be drawn through 2 points; 2 points d…

Postulate 2

A straight line is the shortest line connecting 2 points on a…

Postulate

Angle Addition Postulate (AAP)

Segment Addition Postulate (SAP)

Postulate 5

A basic assumption accepted without proof

...

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

A line contains at least 3 points... A plane contains at least 3…

Postulate

A basic assumption accepted without proof

Angle Addition Postulate (AAP)

...

Postulate 1: the ruler postulate

Postulate 2: the segment addition postu…

Postulate 3

Postulate 4

The real number that corresponds to a point is the coordinate…

If B is between A & C, then AB + BC = AC. If AB + BC = AC, the…

Protractor Postulate

Angle Addition Postulate

Postulate 1: the ruler postulate

The real number that corresponds to a point is the coordinate…

Postulate 2: the segment addition postu…

If B is between A & C, then AB + BC = AC. If AB + BC = AC, the…

segment addition postulate

angle addition postulate

a line contains at least two points

through any two points

If ABC then AB + AC = AC, ABC are collinear

If B is inside <AOC then m<AOB + m<BOC = m<AOC

a plane contains at least 3 noncollinear points, space contain…

there is exactly one line

segment addition postulate

If ABC then AB + AC = AC, ABC are collinear

angle addition postulate

If B is inside <AOC then m<AOB + m<BOC = m<AOC

7

postulate

infinite

one

How many postulates are there?

a statement that is assumed true without proof

a line, plane, and space contain an _____________ number of po…

if there are two points, then exactly ______ line(s) contain(s…

7

How many postulates are there?

postulate

a statement that is assumed true without proof

Postulate

Postulate

Postulate

Segment Addition Postulate

Any two points are collinear

Any three non collinear points are coplanar

If two lines intersect they are coplanar

If L lies between D and Z, the DL+LZ=DZ

Postulate

Any two points are collinear

Postulate

Any three non collinear points are coplanar

Postulate 1 (Ruler Postulate)

Postulate 2 (S.L.A.P.)

Postulate 3 (Protractor Postulate)

Postulate 4 (A.M.A.P.)

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 lies on the interior of <AOC, then m<AOB+m<BOC=m<AO…

Postulate 1 (Ruler Postulate)

1. The points on a line can be paired with the real numbers in…

Postulate 2 (S.L.A.P.)

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

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Ruler Postulate: Points on a line that match the real numbers.…

Segment Addition Postulate: If B is between A and C, then AB +…

Protractor Postulate: We can number and measure angles.

Angle Addition Postulate: If two angles share a vertex, you ca…

Postulate 1

Ruler Postulate: Points on a line that match the real numbers.…

Postulate 2

Segment Addition Postulate: If B is between A and C, then AB +…

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 distance

That all right angles are equal to 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…

segment addition postulate

angle addition postulate

postulate

postulates 1

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

If point B lies in the interior of angle AOC then the measurem…

a basic assumption

a line contains at least two points; a plane contains at least…

segment addition postulate

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

angle addition postulate

If point B lies in the interior of angle AOC then the measurem…

Postulate 1 (Ruler Postulate)

Postulate 2 (Segment Addition Postulate)

Postulate 3 (Protractor Postulate)

Postulate 4 (Angle Addition Postulate)

The distance between points A and B (AB) is the absolute value…

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

The measure of <AOB is equal to the absolute value of the diff…

If ray P is in the center of <RST then the m<RSP+m<PST=m<RST

Postulate 1 (Ruler Postulate)

The distance between points A and B (AB) is the absolute value…

Postulate 2 (Segment Addition Postulate)

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

Reflexive Property

Symmetric Property

Transitive Property

Number Line

The same backwards and forwards

The points equal each other no matter the order because its on…

Leave out the middleman

a+b over 2

Reflexive Property

The same backwards and forwards

Symmetric Property

The points equal each other no matter the order because its on…

Postulate 1

Postulate 2: Segment Addition Postulate

Postulate 4: Angle Addition Postulate

Postulate 5

the points on the line can be paired in a one to one correspon…

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

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

through any two points there exists exactly one line

Postulate 1

the points on the line can be paired in a one to one correspon…

Postulate 2: Segment Addition Postulate

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

#1

#2

#3

#4

Through any 2 distinct points there exists exactly one line

a line contains at least 2 points

if 2 lines intersect, then their intersection is exactly one p…

through any 3 noncollinear points there exists exactly one pla…

#1

Through any 2 distinct points there exists exactly one line

#2

a line contains at least 2 points

postulate 1- ruler postulate

postulate 2- Segment Addition Postulate

postulate 3- Protractor Postulate

postulate 4- Angle Addition Postulate

AB = /x-y/

If B is between A and C then the length of AB + the length of…

the measurement of angle POQ = /x-y/

the measurement of angle AOB + the measurement of angle BOC =…

postulate 1- ruler postulate

AB = /x-y/

postulate 2- Segment Addition Postulate

If B is between A and C then the length of AB + the length of…

Through any _______, there is___________

Through any 3 ________, there is exactl…

A line contains at least ________

A plane contains at least ________

two points; exactly one line

non collinear points; plane

2 points

3 non collinear points

Through any _______, there is___________

two points; exactly one line

Through any 3 ________, there is exactl…

non collinear points; plane

Postulate 5

Postulate 6

Postulate 7

Postulate 8

through only 2 points there exists exactly 1 line

a line contains at least 2 points

if 2 lines intersect, then their intersection is exactly one p…

through any 3 noncollinear points there exists exactly 1 plane

Postulate 5

through only 2 points there exists exactly 1 line

Postulate 6

a line contains at least 2 points

Postulate 1: Ruler Postulate

Segment addition postulate

Protractor postulate

Angle addition postulate

Given any 2 points, exactly one straight line can be drawn thr…

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

Given line AB and a point O on line AB, all rays that can be d…

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

Postulate 1: Ruler Postulate

Given any 2 points, exactly one straight line can be drawn thr…

Segment addition postulate

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

1-1

1-2

1-3

1-4

Through any two points there is exactly one line

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

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

Through any three noncollinear points there is exactly one pla…

1-1

Through any two points there is exactly one line

1-2

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