#### Study sets matching "geometry postulates"

#### Study sets matching "geometry postulates"

Postulate 1

Segment addition postulate

Protractor Postulate

Angle Addition postulate

What can be paired with real numbers to etablish coordinate s…

AB+BC=AC

This is similar to the ruler postulate; if you have a pair of…

If point B lies in the interior of <AOC then m<AOB + m<BOC =…

Postulate 1

What can be paired with real numbers to etablish coordinate s…

Segment addition postulate

AB+BC=AC

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

line, plane

the points on a line can be paired with real numbers

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

one ray of an angle can be paired with 0 degrees and its oppo…

a ________ contains at least two points, a _______ contains a…

Ruler Postulate

the points on a line can be paired with real numbers

Segment Addition Postulate

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on any line can be paired with real numbers such t…

If Q is between P and R, then PQ+QR=PR.

Given ray AB and a number, R, that's between 0 and 180, there…

If point R is in the interior of angle PQS, then the measure…

Ruler Postulate

The points on any line can be paired with real numbers such t…

Segment Addition Postulate

If Q is between P and R, then PQ+QR=PR.

Postulate

Ruler postulate

Segment addition postulate

Protractor postulate

A statement that is accepted as true without proof

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

If B is between A and C, then AB 1 BC 5 AC. If AB 1 BC 5 AC,…

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

Postulate

A statement that is accepted as true without proof

Ruler postulate

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

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

Postulate 5

Postulate 6

Postulate 7

Postulate 8

REMEMBER: a line contains at least two points; a plane contai…

through any two points there is EXACTLY one line

through any three points there is at least one plane, and thr…

If two points are in a plane, then the line that contains the…

Postulate 5

REMEMBER: a line contains at least two points; a plane contai…

Postulate 6

through any two points there is EXACTLY one line

Postulate 1 (Ruler Postulate)

Postule 2 (Segment Addition Postulate)

Postulate 3 (Protractor Postulate)

Postulate 4 (Angle Addition Postulate)

1. The points on a line can be paried 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 in the interior of <AOC, then m<AOB + m<BOC =…

Postulate 1 (Ruler Postulate)

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

Postule 2 (Segment Addition Postulate)

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

Law of Syllogism

Law of Detachment

Postulate 5

Postulate 6

If hypothesis p, then conclusion q.... If hypothesis q, then con…

If the hypothesis of a true statement is true, then ... the conc…

Through any two points there exists exactly one line.

A line contains at least two points.

Law of Syllogism

If hypothesis p, then conclusion q.... If hypothesis q, then con…

Law of Detachment

If the hypothesis of a true statement is true, then ... the conc…

Through any two points, there is exact…

Through any three non collinear points…

A line contains at least two points

A plane contains at least three non co…

2.1- Line n is the only line through points P and R

2.2- Plane K is the only plane through non collinear points A…

2.3- Line n contains points P, Q, and R

2.4- plane K contains non collinear points L, B, C, and E

Through any two points, there is exact…

2.1- Line n is the only line through points P and R

Through any three non collinear points…

2.2- Plane K is the only plane through non collinear points A…

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 at one p…

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

Through any three non co-linear points, there is exactly one…

Postulate 1-1:

Through any two points, there is exactly one line.

Postulate 1-2:

If two distinct lines intersect, then they intersect at one p…

2.1

2.2

2.3

2.4

Through any two points there is exactly one line.

Through any three points there is exactly one plane.

A line contains at least two points.

A plane contains at least three non-collinear points.

2.1

Through any two points there is exactly one line.

2.2

Through any three points there is exactly one plane.

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two parts there is exactly one line

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

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

Through any three noncollinear points there is exactly one pl…

Postulate 1-1

Through any two parts there is exactly one line

Postulate 1-2

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

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 exact…

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

Through any three nonconllinear points there is exactly one p…

Postulate 1-1

Through any two points there is exactly one line.

Postulate 1-2

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

postulate

postulate 2.1

postulate 2.2

postulate 2.3

a statement that is accepted as true without proof. Also know…

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.

postulate

a statement that is accepted as true without proof. Also know…

postulate 2.1

Through any two points, there is exactly one line.

To make a line

Ruler

Segment Addition

Protractor

Through any 2 points there is 1 line

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

If 3 points, A, B, and C, are collinear, and B is between A a…

Every ray can be paired 1-to-1 with a real number from 0-180

To make a line

Through any 2 points there is 1 line

Ruler

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

through any ____ points there is exact…

through any three ________ points, the…

a line contains at least __ points.

a plane contains at least ___ noncolli…

two, line

noncollinear, plane

2

3

through any ____ points there is exact…

two, line

through any three ________ points, the…

noncollinear, plane

corresponding angles postulate

alternate interior angles theorem

alternate exterior angles theorem

consecutive interior angles theorem

if 2 parallel limes are cut by a transversal, then EACH PAIR…

if 2 parallel lines are cut by a transversal, then EACH PAIR…

If 2 parallel lines are cut by a transversal, then EACH PAIR…

If 2 parallel lines are cut by a transversal, then EACH PAIR…

corresponding angles postulate

if 2 parallel limes are cut by a transversal, then EACH PAIR…

alternate interior angles theorem

if 2 parallel lines are cut by a transversal, then EACH PAIR…

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 exact…

If two distinct planes intersect then they intersect in exact…

Through any three noncollinear points there is exactly one pl…

Postulate 1-1

Through any two points there is exactly one line.

Postulate 1-2

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

Segment Addition Postulate

Angle Addition Postulate

Corresponding Angles Postulate

Slopes of Parallel Lines

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

If B is in the interior of Angle AOC, then m<AOB+m<BOC= m<AOC

If 2 parallel lines are cut by a transversal, then each pair…

2 nonvertical lines have the same slope if and only if they a…

Segment Addition Postulate

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

Angle Addition Postulate

If B is in the interior of Angle AOC, then m<AOB+m<BOC= m<AOC

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 & 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 numb…

Segment Addition Postulate

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

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

Protractor Postulate

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

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

On line AB in a given plane, choose any point 0 between A and…

Ruler Postulate

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

Segment Addition Postulate

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

Postulate one

Postulate two

Postulate three

Postulate four

through any two points there is exactly one line

through any three nonlinear points there is exactly one plane…

if two points lie in a plane then the line containing those p…

if two lines intersect they intersect in exactly one point

Postulate one

through any two points there is exactly one line

Postulate two

through any three nonlinear points there is exactly one plane…

If B is between A and C... (segment addit…

If B lies interior of <AOC... (angle addi…

Through any 2 points

Through any 3 noncollinear points

then AB+BC=AC

m<AOB+m<BOC=m<AOC

there is exactly 1 line

there is exactly 1 plane

If B is between A and C... (segment addit…

then AB+BC=AC

If B lies interior of <AOC... (angle addi…

m<AOB+m<BOC=m<AOC

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, then B is…

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

If P is in the interior of ∠RST, then the measure of ∠RST is…

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, then B is…

P1-1

P1-2

P1-3

P1-4

Through any

**two points**there is exactly**one line**.If

**two distinct lines intersect**, then they intersect in exa…If

**two distinct planes intersect**, then they intersect in ex…Through any

**three non-collinear points**there is exactly *on…P1-1

Through any

**two points**there is exactly**one line**.P1-2

If

**two distinct lines intersect**, then they intersect in exa…Ruler Postulate

Segment Addition Postulate

Linear Pair Postulate

Parallel Postulate

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

What postulate does this rule reflect?... If B is between A and…

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

If there is a line and a point not on the line, then there is…

Ruler Postulate

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

Segment Addition Postulate

What postulate does this rule reflect?... If B is between A and…

ruler postulate

Segment Addition Postulate (Seg. Add.…

Protractor Postulate

Angle Addition Postulate

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

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 va…

m<AOB + m<BOC = m< AOC

ruler postulate

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

Segment Addition Postulate (Seg. Add.…

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

What is another name for postulates?

What are postulates?

What does Postulate 1-1 state?

What does Postulate 1-2 state?

axiom

Accepted statements of facts

Through any two points there is exactly one line.

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

What is another name for postulates?

axiom

What are postulates?

Accepted statements of facts

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

The distance between points A and B, written as AB, is the ab…

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

If P is in the interior of (a)RST, then m(a) RSP+m(a)PST=m(a)…

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

Ruler Postulate

The distance between points A and B, written as AB, is the ab…

Segment Addition Postulate

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

postulate or axiom

Postulate 1.1

Postulate 1.2

Postulate 1.3

an accepted statement of fact

Through any two points, there is exactly one line

If 2 lines intersect, they intersect at exactly one point

If 2 planes intersect, they intersect at exactly one line

postulate or axiom

an accepted statement of fact

Postulate 1.1

Through any two points, there is exactly one line

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Only one straight line can be drawn through two points; two p…

A straight line is the shortest line connecting two points in…

A line segment can be bisected at only one point.

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

Postulate 1

Only one straight line can be drawn through two points; two p…

Postulate 2

A straight line is the shortest line connecting two points in…

they are congruent.... Right Angles Cong…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Complem…

If two angles are right angles, then

If two angles are supplementary to the same angle, then

If two angles are supplementary to congruent angles, then

If two angles are complementary to the same angle, then

they are congruent.... Right Angles Cong…

If two angles are right angles, then

they are congruent.... Congruent Supplem…

If two angles are supplementary to the same angle, then

Segment Addition Postulate

Angle Addition Postulate

Postulate 5

Postulate 6

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

measure of angle RST = measure of angle RSP + measure of angl…

Through any two points there exists exactly

A line contains at least two points

Segment Addition Postulate

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

Angle Addition Postulate

measure of angle RST = measure of angle RSP + measure of angl…

Postulate 1 ... (Ruler Postulate)

Postulate 2 ... (Segment Addition Postula…

Postulate 3 ... (Protractor Postulate)

Postulate 4... (Angle Addition Postulate)

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

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

...

...

Postulate 1 ... (Ruler Postulate)

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

Postulate 2 ... (Segment Addition Postula…

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

Postulate 1

Postulate 2

Postulate 3 (The Ruler Postulate)

Postulate 4 (The protractor postulate)

Two points determine a line

Three non collinear points determine a plane

The points on a line can be numbered so that positive number…

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

Postulate 1

Two points determine a line

Postulate 2

Three non collinear points determine a plane

segment addition postulate

reflexive property

congruent

midpoint theorem

AB + BC = AC

any segment or angle is congruent/equal to itself (AB = AB) (…

have equal measure

If AB + BC = AC and AB=BC

segment addition postulate

AB + BC = AC

reflexive property

any segment or angle is congruent/equal to itself (AB = AB) (…

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…

Slopes of parallel lines postulate

Slopes of perpendicular lines postulate

Corresponding angles postulate

Ruler postulate

In a coordinate plane, 2 non vertical lines are parallel if a…

In a coordinate plane, two nonvertical lines are perpendicula…

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

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

Slopes of parallel lines postulate

In a coordinate plane, 2 non vertical lines are parallel if a…

Slopes of perpendicular lines postulate

In a coordinate plane, two nonvertical lines are perpendicula…

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 ∠PQR, then m∠ PQS + m∠SQR = m∠ PQR.

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 ∠PQR, then m∠ PQS + m∠SQR = m∠ PQR.