#### Study sets matching "geometry postulates"

#### Study sets matching "geometry postulates"

Postulate Definition

Postulate (Ch 1)

Postulate (Ch 1)

Postulate (Ch 1)

A statement accepted true without proof

The intersection of two lines is a point

The intersection of two planes is a line

Through any two points there is exactly one line

Postulate Definition

A statement accepted true without proof

Postulate (Ch 1)

The intersection of two lines is a point

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

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

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

Ruler Postulate

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

Segment Addition Postulate

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

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 p…

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 p…

Segment Addition Postulate

Angle Addition Postulate

Corresponding Angles Postulate

Converse of the Corresponding Angles P…

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

If S is in the Interior of angle PQR, then the measure of PQS…

If two parallel lines are cut by a transversal, then the pair…

If two coplanar lines are cut by a transversal so that a pair…

Segment Addition Postulate

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

Angle Addition Postulate

If S is in the Interior of angle PQR, then the measure of PQS…

1 Ruler Postulate

2 Segment Addition Postulate

3 Protractor Postulate

4 Angle Addition Postulate

-the distance between two points is absolute value of the dif…

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

-the measure of an angle is the absolute value of the differe…

-if point P is the interior of angle:ABC, then the measure of…

1 Ruler Postulate

-the distance between two points is absolute value of the dif…

2 Segment Addition Postulate

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

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 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through only 2 points there is exactly one line

If 2 lines intersect, then they intersect in exactly 1 point

If 2 planes intersect, then they intersect in exactly 1 point

Through any 3 noncollinear points there is exactly 1 plane

Postulate 1-1

Through only 2 points there is exactly one line

Postulate 1-2

If 2 lines intersect, then they intersect in exactly 1 point

Two Point Postulate

Line intersection postulate

Three point postulate

Plane line postulate

Through any two points there exists exactly one line

If two lines intersect then there intersection is exactly 1 p…

Through any three noncollinear points there exists exactly 1…

If two points lie in a plane then the line containing them li…

Two Point Postulate

Through any two points there exists exactly one line

Line intersection postulate

If two lines intersect then there intersection is exactly 1 p…

Reflexive Property

Symmetric Property

Transitive Property

Number Line

The same backwards and forwards

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

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 o…

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…

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 exactl…

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 exactl…

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 valu…

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

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

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 valu…

Postulate 2 (Segment Addition Postulate)

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

Through any 2 points there is exactly…

Through any 3 points NOT on the same l…

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…

Line

Through any 3 points NOT on the same l…

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…

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. I…

Postulate 1

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

Postulate 2

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

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 contai…

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

#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…

through any 3 noncollinear points there exists exactly one pl…

#1

Through any 2 distinct points there exists exactly one line

#2

a line contains at least 2 points

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any 2 points there is exactly one line.

If 2 distinct lines intersect, then they intersect in exactly…

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

Through any non-collinear points there is exactly one plane.

Postulate 1-1

Through any 2 points there is exactly one line.

Postulate 1-2

If 2 distinct lines intersect, then they intersect in exactly…

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

Postulate 1 (Ruler Postulate)

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

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

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 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…

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 measure…

a basic assumption

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

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 measure…

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 correspo…

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 correspo…

Postulate 2: Segment Addition Postulate

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

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…

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

Through any _______, there is___________

Through any 3 ________, there is exact…

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 exact…

non collinear points; plane

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 exact…

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

Through any three noncollinear points there is exactly one pl…

1-1

Through any two points there is exactly one line

1-2

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