# 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

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.

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

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

Segment Addition Postulate

Angle Addition Postulate

Supplement Theorem

Complement Theorem

If A,B, and C are collinear, then point B is between A and C i…

D is the interior of <ABC if and only if <ABD + <DBC = <ABC

If two angles form a linear pair then they are supplementary a…

If noncommon angles form two adjacent angles from a right angl…

Segment Addition Postulate

If A,B, and C are collinear, then point B is between A and C i…

Angle Addition Postulate

D is the interior of <ABC if and only if <ABD + <DBC = <ABC

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

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

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 1- Ruler Postulate

Postulate 2- Segment Addition Postulate

Postulate 3

Postulate 4- Angle Addition Postulate

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

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

rays can be paired with the real numbers from 1-180

if a point lies in the interior of and angle, then you would u…

Postulate 1- Ruler Postulate

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

Postulate 2- Segment Addition Postulate

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

Postulate 1 - Ruler Postulate

Postulate 2 - Segment Addition Postulate

Postulate 3 - Protractor Postulate

Postulate 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 ... AND ... If AB + BC =…

<AOB is equal to the absolute value of the difference between…

If B is the interior of angle AOC, then the measure of angle A…

Postulate 1 - Ruler Postulate

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

Postulate 2 - Segment Addition Postulate

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be match one to one with real numbers…

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

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

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

Ruler Postulate

The points on a line can be match one to one with real numbers…

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 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…

Postulate(a statement that is accepted…

Postulate 2

Postulate 3, postulate 4

Postulate 5

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

Please see the text book for diagram explanation

Through any two points there is exactly one line

Postulate(a statement that is accepted…

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

Postulate 2

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

The Distance Postulate (2-4)

The Ruler Postulate (2-5)

The Ruler Placement Postulate (2-5)

The Line Postulate

To every pair of different points there corresponds a unique p…

1. One point of the line for each number... 2. One number for eac…

Given 2 Points of a line, the coordinate system can be shifted…

For every two different points there is exactly one line that…

The Distance Postulate (2-4)

To every pair of different points there corresponds a unique p…

The Ruler Postulate (2-5)

1. One point of the line for each number... 2. One number for eac…

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

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

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

Side Angle Side (SAS)

Side Side Side (SSS)

Included Angles

Included Sides

If 2 sides and an included angle are congruent to 2 sides and…

Three sides of one triangle are congruent to three sides of th…

Angle formed by 2 adjacent sides

Sides located between 2 angles

Side Angle Side (SAS)

If 2 sides and an included angle are congruent to 2 sides and…

Side Side Side (SSS)

Three sides of one triangle are congruent to three sides of th…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

The measure of angle AOB is equal to the absolute value of the…

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

Ruler Postulate

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

Segment Addition Postulate

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

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

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

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

1. Points on a line can be paired with real numbers to establi…

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

If you have a pair of opposite rays, and consider all other po…

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

Ruler Postulate

1. Points on a line can be paired with real numbers to establi…

Segment Addition Postulate

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

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