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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 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

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

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 rea…

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

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

If you take a line segment and divide it into equal segments…

If B is between A and C, then AB + BC = AC (the parts add up…

On line AB in a given plane, chose any point O between A and…

If point B lies in the interior of /_AOC, then the m/_AOB + m…

Ruler Postulate

If you take a line segment and divide it into equal segments…

Segment Addition Postulate

If B is between A and C, then AB + BC = AC (the parts add up…

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

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

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

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 (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)

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)

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

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 po…

If two planes intersect, then they intersect in exactly one l…

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 lines intersect, then they intersect in exactly one po…

Postulate 1-1 Through any two points,…

Postulate 1-2 If two distinct lines in…

Postulate 1-3 If two distinct _______i…

Postulate 1-4 Through any ________poin…

line

point

planes

three noncollinear

Postulate 1-1 Through any two points,…

line

Postulate 1-2 If two distinct lines in…

point

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,…

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

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

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,…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Given two points, there corresponds a unique positive number…

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

Ruler Postulate

Given two points, there corresponds a unique positive number…

Segment Addition Postulate

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Through any two points there is exactly one line

If two lines intersect they intersect in exactly one point

If two planes intersect, they intersect in exactly one line

Through any three non-collinear points there exists exactly o…

Postulate 1

Through any two points there is exactly one line

Postulate 2

If two lines intersect they intersect in exactly one point

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

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 number…

Segment Addition Postulate

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

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 s…

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…

Postulate 1- Ruler Postulate

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

Postulate 2- Segment Addition Postulate

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

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 correspond…

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 correspond…

Postulate 2

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…

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…

Postulate 1 - Ruler Postulate

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

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 paired in a one-to-one correspondenc…

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

given a point X on line PR, consider rays XP and XR as well a…

if point D is in the interior of angle ABC, then m angleABD +…

ruler postulate

the points on a line can paired in a one-to-one correspondenc…

segment addition postulate

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…

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

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

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…

The Ruler Postulate (2-5)

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

collinear points

coplanar

parallel lines

parallel planes

Points that lie on the same line.

points that lie on the same plane

coplanar lines that do not intersect

planes that do not intersect.

collinear points

Points that lie on the same line.

coplanar

points that lie on the same plane

Same Side Interior Angles Postulate

Alternate Interior Angles Theorem

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

If a transversal intersects two parallel lines, then the same…

If a transversal intersects two parallel lines, then alternat…

If a transversal intersects two parallel lines, then correspo…

If a transversal intersects two parallel lines, then alternat…

Same Side Interior Angles Postulate

If a transversal intersects two parallel lines, then the same…

Alternate Interior Angles Theorem

If a transversal intersects two parallel lines, then alternat…

points existence postulate

straight line postulate

plane postulate

flat plane postulate

space contains at least four noncoplanar points. every plane…

two points are contained in one and only one line (two points…

three noncollinear points are contained in one and only one p…

if two points are in a plane, then the line containing the po…

points existence postulate

space contains at least four noncoplanar points. every plane…

straight line postulate

two points are contained in one and only one line (two points…

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulates

Distance between two points A and B on a line can be found by…

If B is between AC, then AB + BC = AC

Think about protractor :)

If C is the interior angle of AOD, then ∠AOD = ∠AOC + ∠COD

Ruler Postulate

Distance between two points A and B on a line can be found by…

Segment Addition Postulate

If B is between AC, 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 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…

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

All right angles are congruent.

Supplements of congruent angles are co…

Right

Supplementary (Working with total of 4 angles)

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

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

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

Postulate 1

Postulate 2

Postulate 3

Postulate 4

RULER POSTULATE : The points on a line can be matched one to…

SEGMENT ADDITION POSTULATE: If B is between A and C, then AB+…

PROTRACTOR POSTULATE:

ANGLE ADDITION POSTULATE:

Postulate 1

RULER POSTULATE : The points on a line can be matched one to…

Postulate 2

SEGMENT ADDITION POSTULATE: If B is between A and C, then AB+…

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

Postulate 6

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

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

1. AB + BC = AC

Through any 2 points there is exactly one line

Ruler Postulate

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

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 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

postulate 1-ruler postulate

postulate 2-segment addition postulate

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

1. how to set up a protractor ... 2. how to measure an angle

measurement of angle cob+measurement of angle boa=measurement…

postulate 1-ruler postulate

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

postulate 2-segment addition postulate

if b is between a and 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 t…

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 t…

Postulate 1

Postulate 2

Angle, Vertex

Angle Bisector

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 i…

__________ Consist of 2 different rays with the same endpoint…

Ray that divides 2 angles that are congruent.

Postulate 1

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

Postulate 2

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

Segment addition postulate

Through any two points there is exactl…

If two planes intersect then their int…

through any three points there is at l…

this is an example of what postulate?

Segment addition postulate

this is an example of what postulate?

Through any two points there is exactl…

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

The points on a line can be matched on…

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

Consider OB-> and a point A on one sid…

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched on…

Ruler Postulate

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

Segment Addition Postulate

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.

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

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 match one to one with real number…

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

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 number…

Segment Addition Postulate

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

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…