# Study sets matching "postulates"

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DD Palmer believed that life is the exp…

Something DD Palmer wanted to know

What is tone?

Four Postulates

tone

Why?

the normal degree of nerve tension

1. disease is not an entity... 2. disease is not an enemy... 3. dise…

DD Palmer believed that life is the exp…

tone

Something DD Palmer wanted to know

Why?

Postulate 1.1

Postulate 1.2

Postulate 2

Postulate 3

Ruler Postulate: The points on a line can be paired with real…

The distance between any two points equals the absolute value…

Segment Addition Postulate: If B is between A and C, then AB+B…

Protractor Postulate: On a line AB with a point O between A an…

Postulate 1.1

Ruler Postulate: The points on a line can be paired with real…

Postulate 1.2

The distance between any two points equals the absolute value…

Postulate 1

Postulate 1a

Postulate 1b

Postulate 2

A line contains at least two points.

A plane contains at least three points not all on one line.

Space contains at least four points not all in one plane

Through any two different points, exactly one line exists.

Postulate 1

A line contains at least two points.

Postulate 1a

A plane contains at least three points not all on one line.

DD Palmer believed that life is the exp…

Something DD Palmer wanted to know

What is tone?

Four Postulates

tone

Why?

the normal degree of nerve tension

1. disease is not an entity... 2. disease is not an enemy... 3. dise…

DD Palmer believed that life is the exp…

tone

Something DD Palmer wanted to know

Why?

Segment Addition Postulate

Definition of Congruency

Supplement Theorem

What is an example of the Supplement Th…

if points A,B, and C are collinear, then point B is between A…

when you take the congruency statement and turn it into the eq…

if two angles form a linear pair, then they are supplementary…

m<1+m<2=180

Segment Addition Postulate

if points A,B, and C are collinear, then point B is between A…

Definition of Congruency

when you take the congruency statement and turn it into the eq…

Post. 3-2-1 CORRESPONDING ANGLES POSTUL…

Thm. 3-2-2 ALTERNATE INTERIOR ANGLES TH…

Thm. 2-3-2 ALTERNATE EXTERIOR ANGLES TH…

Thm. 3-2-4 SAME-SIDE INTERIOR ANGLES TH…

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

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

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

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

Post. 3-2-1 CORRESPONDING ANGLES POSTUL…

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

Thm. 3-2-2 ALTERNATE INTERIOR ANGLES TH…

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

Thm. 2-6-1 LINEAR PAIR THEOREM

Thm. 2-6-2 CONGRUENT SUPPLEMENTS THEOREM

Thm. 2-6-3 RIGHT ANGLE CONGRUENCE THEOR…

Thm. 2-6-4 CONGRUENT COMPLEMENTS THEOREM

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

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

All right angles are congruent

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

Thm. 2-6-1 LINEAR PAIR THEOREM

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

Thm. 2-6-2 CONGRUENT SUPPLEMENTS THEOREM

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

Post. 1-1-1

Post. 1-1-2

Post. 1-1-3

Post. 1-1-4

Through any two points there is exactly one line

Through any three noncollinear points there is exactly one pla…

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

If two lines intersect, the intersect in exactly one point.

Post. 1-1-1

Through any two points there is exactly one line

Post. 1-1-2

Through any three noncollinear points there is exactly one pla…

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

If point B lies in the interior of <AOC…

If two parallel lines are cut by a tran…

If two lines are cut by a transversal a…

Segment Addition Postulate

Angle Addition Postulate

n is parallel to m

<1 is congruent to <2

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

Segment Addition Postulate

If point B lies in the interior of <AOC…

Angle Addition 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 they intersect at one point

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.

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

a + b = b +a

ab = ba

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

(ab)c = a(bc)

commutative property of addition

a + b = b +a

commutative property of multiplication

ab = ba

What is postulate 2.1?

What is postulate 2.2?

What is postulate 2.3?

What is postulate 2.4?

through any two points, there is exactly one line

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

a line contains at least two points

a plane contains at least three non collinear points

What is postulate 2.1?

through any two points, there is exactly one line

What is postulate 2.2?

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

Addition Property of Equality

Subtraction Property of Equality

Division Property of Equality

Multiplication Property of Equality

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

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

if a = b and c is not equal to 0, then a/c = b/c

If a=b, then ac=bc

Addition Property of Equality

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

Subtraction Property of Equality

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

Parallel Alternate Interior Theorem

Parallel Alternate Exterior Theorem

Exterior Angle Theorem

Parallel Corresponding Theorem

Congruent alternate interior angles implies parallel lines... Par…

Congruent alternate exterior angles implies parallel lines... Par…

The measure of an exterior angle of a triangle is greater then…

Congruent corresponding angles implies parallel lines.... Paralle…

Parallel Alternate Interior Theorem

Congruent alternate interior angles implies parallel lines... Par…

Parallel Alternate Exterior Theorem

Congruent alternate exterior angles implies parallel lines... Par…

1-1-2

1-1-1

1-1-3

1-1-4

Through any three noncollinear points there is exactly one pla…

Through any two points there is exactly one line

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

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

1-1-2

Through any three noncollinear points there is exactly one pla…

1-1-1

Through any two points there is exactly one line

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

Triangle sum theorem

Exterior angle theorem

the sum of the angle measures of a triangle is 180*

the measure of an exterior angle of a triangle is equal to the…

Triangle sum theorem

the sum of the angle measures of a triangle is 180*

Exterior angle theorem

the measure of an exterior angle of a triangle is equal to the…

Segment Addition Postulate

Definition of Midpoint

Definition of a Segment Bisector

Angle Addition Postulate

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

A point that divides a segment into two congruent segments

A point, ray, line, line segment, or plane that intersects the…

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

Segment Addition Postulate

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

Definition of Midpoint

A point that divides a segment into two congruent segments

Postulate

Point, line plane postulate:

Point, Line plane postulate:

Point, line plane postulate:

Assumption used as a basis for mathematical reasoning.

A. Two points determine exactly one line.

B. Every line consists of points that can be put into a one-to…

C. A point has no dimension... A line has one dimension ... A plane…

Postulate

Assumption used as a basis for mathematical reasoning.

Point, line plane postulate:

A. Two points determine exactly one line.

Angle Addition Postulate

Angle-Angle-Side (AAS)

Angle-Side-Angle (ASA)

Congruence/Measurement Postulate

If B is in the interior of angle (Arc) AC AXD, then m(arc)AC A…

If 2 angles and the NON-INCLUDED side of 1 triangle are congru…

If 2 angles and the INCLUDED side of one triangle are congruen…

Two line segments have the same measure if and only if they ar…

Angle Addition Postulate

If B is in the interior of angle (Arc) AC AXD, then m(arc)AC A…

Angle-Angle-Side (AAS)

If 2 angles and the NON-INCLUDED side of 1 triangle are congru…

Derived the Six Postulates of Human Beh…

1st postulate of human behavior

2nd postulate of human behavior

3rd postulate of human behavior

1: Each person desires a multitude of Goods.... 2: For each perso…

each person desires a multitude of Goods.

For each person, some goods are scarce,

Gross Substitution: Each person is willing to give up some of…

Derived the Six Postulates of Human Beh…

1: Each person desires a multitude of Goods.... 2: For each perso…

1st postulate of human behavior

each person desires a multitude of Goods.

Theorem

Corollary

Segment Addition Postulate

Definition

A statement that has already been proven to be true

A statement that makes sense based on a statement that has alr…

A postulate stating that if AC+BC=AB, then point C is between…

A statement that describes the quantities of an idea, object,…

Theorem

A statement that has already been proven to be true

Corollary

A statement that makes sense based on a statement that has alr…