# Study sets matching "geometry postulates"

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Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

Consider Ray OB and a point A on one side of Ray OB. The rays…

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

Ruler Postulate

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

Segment Addition Postulate

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

Postulate

Point Postulate

Line Postulate

Plane Postulate

Accepted statement of fact

Through any two points there is exactly one line

If two lines intersect, they intersect at exactly one point

If two planes intersect, they intersect it exactly one line

Postulate

Accepted statement of fact

Point Postulate

Through any two points there is exactly one line

Postulate 5

Postulate 6

Postulate 7

Postulate 8

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 one…

Through any three noncollinear points there exists exactly one…

Postulate 5

Through any two points there exists exactly one line.

Postulate 6

A line contains at least two points.

ruler postulate

Segment Addition Postulate (Seg. Add. P…

Protractor Postulate

Angle Addition Postulate

1.)points must be put on a number line... 2.)the distance between…

if B is between A and C, then AB+BC=AC (page 12 in book)

used to find the measure of an angle... 1.) take the absolute val…

m<AOB + m<BOC = m< AOC

ruler postulate

1.)points must be put on a number line... 2.)the distance between…

Segment Addition Postulate (Seg. Add. P…

if B is between A and C, then AB+BC=AC (page 12 in book)

Postulate

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

A statement that is assumed to be true

Every point on a line can be paired with a unique real number.…

If points A, B, and C are on the same line with B between A an…

Given that ray BA and a point C not on ray BA, a unique real n…

Postulate

A statement that is assumed to be true

Ruler Postulate

Every point on a line can be paired with a unique real number.…

1-1-1

1-1-2

1-1-3

1-1-4

Through any two points there is exactly one line

through any three noncollinear point there is exactly one plan…

If two points lie in a plane than that line containing those p…

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

1-1-1

Through any two points there is exactly one line

1-1-2

through any three noncollinear point there is exactly one plan…

Postulate 1.1

Postulate 1.2

Postulate 1.3

Postulate 1.4

a line contains at least two points. A plane contains at least…

any two points in space lie in exactly one line

Three distinct noncollinear points lie in exactly one plane

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

Postulate 1.1

a line contains at least two points. A plane contains at least…

Postulate 1.2

any two points in space lie in exactly one line

Postulate 5

Postulate 6

Postulate 7

Postulate 8

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 one…

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

Postulate 5

through any two points there exists exactly one line

Postulate 6

a line contains at least two points

1

2

3

4

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

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 in the interior of angle AOC, then angle AOB+…

1

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

2

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

Reflexive Property

transitive property

symmetric property

addition property

A quantity is equal to itself

if two quantities are equal to the same quantity, then they ar…

if a quantity is equal to a second quantity, then the second q…

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

Reflexive Property

A quantity is equal to itself

transitive property

if two quantities are equal to the same quantity, then they ar…

Ruler Postulate

Segment Addition Postulate

Protractor postulate

Angle Addition Postulate

The point on a line can be matches one to one with the real nu…

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

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

If P is in the interior so Angle RST then the measure of Angle…

Ruler Postulate

The point on a line can be matches one to one with the real nu…

Segment Addition Postulate

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

Postulate 1-1 (Postulate: lines and poi…

Postulate 1-2 (Postulate: lines)

Postulate 1-3 (Postulate planes)

Postulate 1-4 (Postulate: points and pl…

Through any two points, there is exactly one line

If two lines intersect, then they intersect in exactly one poi…

If two planes intersect, then they intersect in exactly one li…

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

Postulate 1-1 (Postulate: lines and poi…

Through any two points, there is exactly one line

Postulate 1-2 (Postulate: lines)

If two lines intersect, then they intersect in exactly one poi…

Postulate 1

Postulate 2

Postulate 3

Postulate 4

through any two points, there is exactly one line

the measure of any line segment is a unique, positive number

if X is between points A and B, then AX+XB=AB

if two lines intersect, they intersect in exactly one point

Postulate 1

through any two points, there is exactly one line

Postulate 2

the measure of any line segment is a unique, positive number

Two point postulate

Line point postulate

Line intersection postulate

Three point postulate

Through any 2 points, there is exactly one line

A line contains at least 2 points

If two lines inersect, then they intersect at exactly one point

Through any three non collinear points there exists exactly on…

Two point postulate

Through any 2 points, there is exactly one line

Line point postulate

A line contains at least 2 points

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 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 exac…

Through any three noncollinear points there is exactly one pla…

Postulate 1-1

Through any two points there is exactly one line

Postulate 1-2

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

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

if a=b then a+c=b+c

if a=b then a-c=b-c

if a=b, then ac=cb

if a=b and c≠0, then a/c=b/c

addition property of equality

if a=b then a+c=b+c

subtraction property of equality

if a=b then a-c=b-c

Reflexive Property

Symmetric Property

Transitive Property

Addition Postulate

A quantity that is congruent (equal) to itself a=a

If a=b then b=a

If a=b and b=c then a=c

If equal quantities are added to equal quantities then the sum…

Reflexive Property

A quantity that is congruent (equal) to itself a=a

Symmetric Property

If a=b then b=a

Plane Intersection Postulate

Line Intersection Postulate

Line Point Postulate

Plane Line Postulate

If two planes intersect, then their intersection is a line

If two lines intersect, then their intersection is exactly one…

A line contains at least two points

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

Plane Intersection Postulate

If two planes intersect, then their intersection is a line

Line Intersection Postulate

If two lines intersect, then their intersection is exactly one…

Postulate 5

Postulate 6

Postulate 7

Postulate 8

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 one…

Through any three noncollinear points there exists exactly one…

Postulate 5

Through any two points there exists exactly one line

Postulate 6

A line contains at least two points

Line postulate

2 line postulate

Plane postulate

3 point postulate

Through any 2 points there can only be 1 line

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

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

Through any 3 noncollinear points there is exactly 1 plane

Line postulate

Through any 2 points there can only be 1 line

2 line postulate

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

Postulate 1

Postulate 2

Ruler Postulate

Degree Postulate

Two points determine a line.

Three non-collinear (not being on the same line) will determin…

On a number line, all the points can be paired with a number (…

Every angle has a unique measure called degree

Postulate 1

Two points determine a line.

Postulate 2

Three non-collinear (not being on the same line) will determin…

1-1-1 Postulate

1-1-2 Postulate

1-1-3 Postulate

1-1-4 Postulate

Through any 2 points there is exactly 1 line

Through any 3 non-collinear points there is exactly 1 plane co…

If 2 points lie in a plane, then the line containing those poi…

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

1-1-1 Postulate

Through any 2 points there is exactly 1 line

1-1-2 Postulate

Through any 3 non-collinear points there is exactly 1 plane co…

Postulate 1

Postulate 2

Postulate 3

Postulate 4

(Ruler Postulate) allows us to find the length of a segment by…

(Segment Addition Postulate) two segments on either side of th…

(Protractor Postulate) measure the angle by assigning 0 and 18…

(Angle Addition Postulate) two adjacent angles can be added to…

Postulate 1

(Ruler Postulate) allows us to find the length of a segment by…

Postulate 2

(Segment Addition Postulate) two segments on either side of th…

Segment Addition Postulate

Ruler Postulate

Angle Addition Postulate

Two Point Postulate

The equation used to add adjacent non-overlapping segments.

The distance between two points is the absolute value of the d…

The equation used to add adjacent non-overlapping angles.

Through any two points, there exists exactly one line.

Segment Addition Postulate

The equation used to add adjacent non-overlapping segments.

Ruler Postulate

The distance between two points is the absolute value of the d…