# 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 n…

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

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

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

1.1 Ruler Postulate

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

1.2 Segment Addition Postulate

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

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 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 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 in…

Segment Addition Postulate (Postulate 2)

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

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

Intersection of lines

Intersection of planes

Three non collinear points determine a…

Ruler Postulate

If two distinct lines intersect, they intersect at exactly one…

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

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

Every point of a line can be placed in correspondence with a r…

Intersection of lines

If two distinct lines intersect, they intersect at exactly one…

Intersection of planes

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

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

Transitive Postulate

Substitution Postulate

Partition Postulate

Reflexive Postulate

Things equal to the same or equal things are equal to each oth…

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 oth…

Substitution Postulate

A quantity may be substituted for its equal in any expression…

Through any two points, there is ______…

Through any three non collinear points,…

A _____ contains at least two points

A _______ contains at least three non c…

exactly one line

exactly one plane

line

Plane

Through any two points, there is ______…

exactly one line

Through any three non collinear points,…

exactly one plane

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 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 l…

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Two points determine a unique straight line.

Three noncollinear points determine a unique plane.

The Ruler Postulate: (a) To every point on a line, there corre…

The Protractor Postulate: (a) The rays in a half rotation (180…

Postulate 1

Two points determine a unique straight line.

Postulate 2

Three noncollinear points determine a unique plane.

Postulate 1

Postulate 2

The Ruler Postulate

Corollary to Ruler Postulate

Two points determine a line

Three noncollinear points determine a plane

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

A line segment has exactly ONE midpoint

Postulate 1

Two points determine a line

Postulate 2

Three noncollinear points determine a plane

Ruler Postulate

Segment addition postulate

Protractor postulate

Angle Addition Postulate

the point on a line can be matched one to one with real number…

if B is between A and AC, then AB+BC=AC, If AB+BC=AC, then B i…

consider OB and point A on one side of OB. the rays of the for…

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

Ruler Postulate

the point on a line can be matched one to one with real number…

Segment addition postulate

if B is between A and AC, then AB+BC=AC, If AB+BC=AC, then B i…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

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

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

Ruler Postulate

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

Segment Addition Postulate

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

Through two distinct points, there is e…

The measure of any line segment is a un…

If X is a point of segment AB and A-X-B…

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 e…

Postulate 1

The measure of any line segment is a un…

Postulate 2: Ruler Postulate

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 one…

Through any three noncollinear points, there exists exactly on…

Two Point Postulate

Through any two points, there exists exactly one line.

Line Point Postulate

A line contains at least two points.

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 one…

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

Through any three noncollinear points there is exactly one pla…

Postulate 1-1

through any two given points there is one line

Postulate 1-2

If two distinct lines intersect, they intersect in exactly one…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be paired in a one to one corresponde…

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

xxx Given a point, X, on PR, consider XP and XR, as well as al…

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

Ruler Postulate

The points on a line can be paired in a one to one corresponde…

Segment Addition Postulate

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

segment addition postulate

angle addition postulate

addition property of equality

subtraction property of equality

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

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

If a = b, then a + c = b + c

If a = b, then a - c = b - c

segment addition postulate

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

angle addition postulate

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

Side-Side-Side Congruence Postulate (SS…

Side-Angle-Side Congruence Postulate (S…

Hypotenuse-Leg Congruence Theorem (HL)

Angle-Side-Angle Congruence Postulate (…

- If three sides of one triangle are congruent to three sides…

- If two sides and the included angle of one triangle are cong…

- If the hypotenuse and a leg of a right triangle are congruen…

- If two angles and the included side of one triangle are cong…

Side-Side-Side Congruence Postulate (SS…

- If three sides of one triangle are congruent to three sides…

Side-Angle-Side Congruence Postulate (S…

- If two sides and the included angle of one triangle are cong…

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 one…

Through any 3 non-collinear points there exist exactly one pla…

postulate 5

Through any two points there is exactly one line

postulate 6

A line contains at least 2 points

3.1 Corresponding Angles Postulate

3.2 Slopes of Parallel Lines Postulate

3.3 Slopes of Perpendicular Lines Postu…

3.4 Converse of Corresponding Angles Po…

if two parallel lines are cut by a transversal, then each pair…

two non vertical lines have the same slope if and only if they…

two non vertical lines are perpendicular if and only if the pr…

if two lines are cut by a transversal so that corresponding an…

3.1 Corresponding Angles Postulate

if two parallel lines are cut by a transversal, then each pair…

3.2 Slopes of Parallel Lines Postulate

two non vertical lines have the same slope if and only if they…

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…

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 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 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 in…

Segment Addition Postulate (Postulate 2)

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