# Study sets matching "geometry theorems postulates"

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one plane is two points

two plane is 3 points

2 points on a line

3 points on a plane

Through any points, there is exactly one line

Through any three noncollinear points, there is exactly one pl…

A line contains at least two points

A plane contains at least three noncollinear points

one plane is two points

Through any points, there is exactly one line

two plane is 3 points

Through any three noncollinear points, there is exactly one pl…

Postulate

Postulate

Postulate

Postulate

A line contains at least two points; a plane contains at least…

Through any two points there is exactly one line

Through any three points there is at least one plane, and thro…

If two points are in a plane, then the line that contains the…

Postulate

A line contains at least two points; a plane contains at least…

Postulate

Through any two points there is exactly one line

Definition of Supplementary Angles

Definition of Alternate Interior Angles

Definition of Alternate Exterior angles

Definition of Corresponding Angles

2 angles whose measures have a sum of 180 degrees

2 non-adjacent angles that lie on opposite sides of the transv…

2 angles who are on opposite sides of the transversal and outs…

2 angles who are on the same side of the transversal and the s…

Definition of Supplementary Angles

2 angles whose measures have a sum of 180 degrees

Definition of Alternate Interior Angles

2 non-adjacent angles that lie on opposite sides of the transv…

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, they intersect in exactly on…

through any three non-colinear 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…

postulate 1.2 Segment Addition Postulate

postulate 1.4 Angle Addition Postulate

2.1 Two Point Postulate

2.2 Line-Point Postulate

if B is between A and C, AB + BC = AC. if AB + BC = AC, the B…

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

through any two points, there exists exactly one line.

a line contains at least two points

postulate 1.2 Segment Addition Postulate

if B is between A and C, AB + BC = AC. if AB + BC = AC, the B…

postulate 1.4 Angle Addition Postulate

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

Addition POE

Multiplication POE

Subtraction POE

Division POE

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

If a=b, then a times c = b times c

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

If a=b and c does not = 0, then a/c = b/c

Addition POE

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

Multiplication POE

If a=b, then a times c = b times c

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

If S is in the interior of PQR, then mPQS + mSQR = m PQR (basi…

If B is between A & C, then AB + BC = AC. (basically means: 2…

In a right triangle, leg squared + leg squared = hypotenuse sq…

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

Angle Addition Postulate

If S is in the interior of PQR, then mPQS + mSQR = m PQR (basi…

Segment Addition Postulate

If B is between A & C, then AB + BC = AC. (basically means: 2…

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

If S is in the interior of PQR, then m<PQS + m<SQR = m <PQR.

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

In a right triangle, leg squared + leg squared = hypotenuse sq…

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

Angle Addition Postulate

If S is in the interior of PQR, then m<PQS + m<SQR = m <PQR.

Segment Addition Postulate

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

Postulate 5

Postulate 6

Postulate 7

Postulate 8

A line contains at least 2 points; a plane contains at least 3…

Through any two points there is exactly one line

Through any 3 points there is at least 1 plane, and through an…

If 2 points are in a plane, then the line that contains the po…

Postulate 5

A line contains at least 2 points; a plane contains at least 3…

Postulate 6

Through any two points there is exactly one line

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Congruent Right Angles Theorem

Vertical angles are congruent.

If two angles are supplements of the same angles (or of congru…

If two angles are complements of the same angles (or of congru…

All right angles are congruent.

Vertical Angles Theorem

Vertical angles are congruent.

Congruent Supplements Theorem

If two angles are supplements of the same angles (or of congru…

Reflexive property

Symmetric property

Transitive property

Addition postulate

A quantity is congruent to itself

If a=b then b=a

If a=b and b=c then a=c

If equal quantities are added to equal quantities the sums are…

Reflexive property

A quantity is congruent to itself

Symmetric property

If a=b then b=a

PBT

CPBT

RAT

≅ST

Perpendicular Bisector Theorem: If two points are equidistant…

Converse Perpendicular Bisector Theorem: If a point is on perp…

Right Angle Theorem: If two angles are both congruent and supp…

Congruent Supplement Theorem: If two angles are congruent, the…

PBT

Perpendicular Bisector Theorem: If two points are equidistant…

CPBT

Converse Perpendicular Bisector Theorem: If a point is on perp…

Segment Addition Postulate

Angle Addition Postulate

Through any two points there exists...

A line contains...

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

...one line

...At least two points

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

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°

Two angles whose measures add to 90 deg…

Two angels whose measures add to 180 de…

Middle of a line segment that divides t…

A ray beginning at the vertex of an ang…

What are complementary angles?

What are supplementary angles?

What is a midpoint?

What is an angle bisector?

Two angles whose measures add to 90 deg…

What are complementary angles?

Two angels whose measures add to 180 de…

What are supplementary angles?

Linear Pair Postulate

Segment Addition Postulate

Angle Addition Postulate

Addition Property

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

If you have a line made up of pieces, add the small pieces to…

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

If you add the same numbers to each side of an equation, both…

Linear Pair Postulate

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

Segment Addition Postulate

If you have a line made up of pieces, add the small pieces to…

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 ab=bc

If a=b and c does not equal 0, 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 Postulate

Segment Addition Postulate

Protractor postulate

Angel Addition Postulate

The points on a line can be put into a one-to-one corresponden…

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

Given line AB and a point 0 on line AB, all rays that can be d…

If S is in the interior of <PQR, then m<PQS + m< SQR= ... m<PQR

Ruler Postulate

The points on a line can be put into a one-to-one corresponden…

Segment Addition Postulate

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

Postulate 1 :Ruler

Postulate 2: Segment Addition

Postulate 3: Protractor

Postulate 4: Angle Addition

1: The point on a line can be paired with the real numbers in…

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

1:How to set up a protractor... 2:How to measure an angle

Angles have to add up to 180º

Postulate 1 :Ruler

1: The point on a line can be paired with the real numbers in…

Postulate 2: Segment Addition

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

The Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

We can make a protractor starting at 0 degrees and going to 18…

If point B lies in the interior of angle AOC, then angle AOB +…

The Ruler Postulate

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

Segment Addition Postulate

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

if a conditional statement is true, the…

If two angles are right angles, then th…

If two angles are straight angles, then…

If angles are supplementary to the same…

if p, then q ⇔ if ~q, then ~p

all rt ∠s ≅

all st ∠s ≅

if supp to same ∠ → ≅

if a conditional statement is true, the…

if p, then q ⇔ if ~q, then ~p

If two angles are right angles, then th…

all rt ∠s ≅

Addition Prop of =

Subtraction Prop of =

Multiplication Prop of =

Division Prop of =

If a=b and c=d then a+c=b+d

If a=b and c=d then a-c=b-d

if a=b then ca=cb

a=b and c≠0 then a/c=b/c

Addition Prop of =

If a=b and c=d then a+c=b+d

Subtraction Prop of =

If a=b and c=d then a-c=b-d

Reflexive

Symmetric

Transitive

Segment Addition Postulate

Line segment AB is congruent to line segment CD

If line segment AB is congruent to line segment CD, then line…

If line segment AB is congruent to line segment CD, and line s…

Two segments of a line added together to get the length of the…

Reflexive

Line segment AB is congruent to line segment CD

Symmetric

If line segment AB is congruent to line segment CD, then line…