# Study sets matching "geometry postulates"

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Collinear

Linear Pair

Supplementary angles

Vertical Angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite r…

Two angles whose sum is 180 degrees

A pair of opposite congruent angles formed by intersecting lin…

Collinear

Points that lie on the same line

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite r…

Two Point Postulate

Line-Point Postulate

Line Intersection Postulate

Three Point Postulate

Through any two points there is exactly one line.

A line contains at least two points.

If two lines intersect then they intersect in exactly ONE poin…

Through any three noncollinear points there is exactly one pla…

Two Point Postulate

Through any two points there is exactly one line.

Line-Point Postulate

A line contains at least two points.

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

Right Angles Congruence Theorem

Congruent Complements Theorem

Congruent Supplements Theorem

Linear Pair Postulate

All right angles are congruent.

If two angles are complementary to the same angle, (or to cong…

If two angles are supplementary to the same angle, (or to cong…

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

Right Angles Congruence Theorem

All right angles are congruent.

Congruent Complements Theorem

If two angles are complementary to the same angle, (or to cong…

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 exact…

Through any three non collinear 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 exactl…

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Through any two given points, there is exactly one line.

Through any three non-colinear points, there is exactly one pl…

A line can contain at least two points.

A plane contains at least three non-colinear points.

Postulate 1

Through any two given points, there is exactly one line.

Postulate 2

Through any three non-colinear points, there is exactly one pl…

Complementary angles

Supplementary angles

Theorem

Vertical Angles

two angles whose measures have a sum of 90°

two angles who measures have a sum of 180°

a statement that can be proven

two angles formed by intersecting lines and facing in the oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

SSS Postulate

SAS Postulate

ASA Postulate

HL Postulate

If the three sides of one triangle are congruent to the corres…

If two sides and the included angle of a triangle are congruen…

If two angles and the included side of a triangle are congruen…

If the hypotenuse and one of the legs of a right triangle are…

SSS Postulate

If the three sides of one triangle are congruent to the corres…

SAS Postulate

If two sides and the included angle of a triangle are congruen…

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 exact…

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…

Complementary angles

Supplementary angles

Theorem

Vertical Angles

two angles whose measures have a sum of 90°

two angles who measures have a sum of 180°

a statement that can be proven

two angles formed by intersecting lines and facing in the oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Right Angle Congruence Theorem

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If 2 angles are right angles, then they are congruent

If 2 angles are vertical angles, then they are congruent

If 2 angles are supplementary to the same angle or congruent a…

If 2 angles are complementary to the same angle or congruent a…

Right Angle Congruence Theorem

If 2 angles are right angles, then they are congruent

Vertical Angles Theorem

If 2 angles are vertical angles, then they are congruent

SSS Postulate

SAS Postulate

ASA Postulate

HL Postulate

If the three sides of one triangle are congruent to the corres…

If two sides and the included angle of a triangle are congruen…

If two angles and the included side of a triangle are congruen…

If the hypotenuse and one of the legs of a right triangle are…

SSS Postulate

If the three sides of one triangle are congruent to the corres…

SAS Postulate

If two sides and the included angle of a triangle are congruen…

Point Location

Length Addition Postulate

Shortest Path

Angle Measurement

let x be any positive real number in any given ray

If B is a point on segment AC, then AC=AB+BC then B is a point…

If B is a point not on AC then AC <AB+BC and if AC< AB + BC th…

An Angle will take on a measurement between 0 and 180 degrees.

Point Location

let x be any positive real number in any given ray

Length Addition Postulate

If B is a point on segment AC, then AC=AB+BC then B is a point…

Two Point Postulate

Line-Point Postulate

Line Intersection Postulate

Three Point Postulate

Through any two points there is exactly one line.

A line contains at least two points.

If two lines intersect then they intersect in exactly ONE poin…

Through any three noncollinear points there is exactly one pla…

Two Point Postulate

Through any two points there is exactly one line.

Line-Point Postulate

A line contains at least two points.

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 (a)(c) = (b)(c)

If a = b, c not equal to "zero", 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

ruler postuale

segment additon postulate

protractor postulate

Angle Additon Postulate

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

is a is between a and c, then ab+bc=ac, then b is between a an…

Consider point A on one side of line OB. The rays of the form…

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

ruler postuale

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

segment additon postulate

is a is between a and c, then ab+bc=ac, then b is between a an…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Given two points, there corresponds a unique positive number c…

Given two rays, there corresponds a unique positive number cal…

Ruler Postulate

Given two points, there corresponds a unique positive number c…

Segment Addition Postulate

Postulate 1

Postulate 2

The Ruler Postulate (Postulate 3)

The Protractor Postulate (Postulate 4)

Two points determine a unique straight line.

Three noncollinear points determine a unique plane

a. To every point on a line there corresponds exactly one real…

a. The rays in a half rotation (180 degrees) can be numbered s…

Postulate 1

Two points determine a unique straight line.

Postulate 2

Three noncollinear points determine a unique plane

Conclusion

Conditional Statement

Conjecture

Contrapositive

In a conditional statement (if-then statement), the statement…

A statement written in an if then form... A statement of the form…

An educated guess based on known information... pg 78

The statement formed by negating both the hypothesis(educated…

Conclusion

In a conditional statement (if-then statement), the statement…

Conditional Statement

A statement written in an if then form... A statement of the form…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

accepted rule that a ruler can find a distance

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

the measure of an angle is equal to the absolute value of the…

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

Ruler Postulate

accepted rule that a ruler can find a distance

Segment Addition Postulate

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

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Postulate

A quantity is equal to itself.

An equality may be expressed in either order.

If quantities are equal to the same quantity, they are equal t…

A quantity may be substituted for its equal in any expressions.

Reflexive Property of Equality

A quantity is equal to itself.

Symmetric Property of Equality

An equality may be expressed in either order.

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

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 pla…

Postulate 1-1

Through any two points there is exactly one line.

Postulate 1-2

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

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

Ruler Postulate

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

Segment Addition Postulate

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