#### Study sets matching "honors theorems geometry theorems properties postulates"

#### Study sets matching "honors theorems geometry theorems properties postulates"

If two angles are right angles, then t…

If two angles are straight angles, the…

If angles or segments are congruent to…

If angles or segments are congruent to…

Theorem

Theorem

Theorem

Theorem

If two angles are right angles, then t…

Theorem

If two angles are straight angles, the…

Theorem

Midpoint theorem

Addition property of =

Subtraction property of =

Multiplication property of =

If M is the midpoint of segment AB, then segment AM ≅ MB.

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

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

If a=b, then a x c = b x c.

Midpoint theorem

If M is the midpoint of segment AB, then segment AM ≅ MB.

Addition property of =

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

If two angles are right angles, then t…

If two angles are straight angles, the…

If angles or segments are congruent to…

If angles or segments are congruent to…

Theorem

Theorem

Theorem

Theorem

If two angles are right angles, then t…

Theorem

If two angles are straight angles, the…

Theorem

Postulate 1

Postulate 2

Postulate 3

Postulate 4

- Ruler Postulate... -points on a line can be paired w the real…

-if B is bw A and C, then... AB + BC = AC

-protractor postulate... -match rays w real numbers on a protrac…

-Angle Addition Postulate... -if point B lies in interior of an…

Postulate 1

- Ruler Postulate... -points on a line can be paired w the real…

Postulate 2

-if B is bw A and 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 the real…

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

The measure of ∠AOB, which can be written as m∠AOB, is equal…

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.

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…

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

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

ruler postulate 1-2-1

segment addition postulate

protractor postulate

angle addition postulate

the points on a line can be put to a one-to-one correspondenc…

in order to say that a point is between 2 other points, then…

all rays can be drawn from point O and put into a one-to-one…

ruler postulate 1-2-1

the points on a line can be put to a one-to-one correspondenc…

segment addition postulate

in order to say that a point is between 2 other points, then…

inductive reasoning

conjecture

counterexample

point

is reasoning that is based on patterns you observe. If you ob…

a conclusion you reach using inductive reasoning

an example for which the conjecture is incorrect

a location

inductive reasoning

is reasoning that is based on patterns you observe. If you ob…

conjecture

a conclusion you reach using inductive reasoning

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, they intersect at exactly on…

If two distinct planes intersect, they intersect at exactly o…

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

Postulate 1-1

Through any two points, there is exactly one line.

Postulate 1-2

If two distinct lines intersect, they intersect at exactly on…

Point-Line Postulate

Isosceles Triangle Theorem

Isoceles Triangle Converse

Linear Pair Postulate

-Between two points it is possible to construct exactly one l…

If two sides of a triangle are of a triangle are congruent, t…

If two angles of a triangle are congruent, then the sides opp…

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

Point-Line Postulate

-Between two points it is possible to construct exactly one l…

Isosceles Triangle Theorem

If two sides of a triangle are of a triangle are congruent, t…

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 and c≠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

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 ac = bc.

If a = b and c ≠ 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.

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Line Postulate

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

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

If point B lies in the interior of ∠AOC, then the m∠AOB and t…

A line contains at least 2 points

Segment Addition Postulate

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

Protractor Postulate

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

Ruler Postulate

Angle defintion

Protractor Postulate

Angle Addition Postulate

There is a point on the number line for every real number.

An angle is formed by two rays with the same endpoint. The ra…

Any angle can be measured by a protractor.

Adding two angles to make a bigger angle.

Ruler Postulate

There is a point on the number line for every real number.

Angle defintion

An angle is formed by two rays with the same endpoint. The ra…

law of detachment

law of syllogism

postulate 5

postulate 6

if P implies Q is a true conditional statement and P is true,…

if P implies Q and Q implies R is true, then P implies R.

through any two points there exists exactly one line.

a line contains at least two points.

law of detachment

if P implies Q is a true conditional statement and P is true,…

law of syllogism

if P implies Q and Q implies R is true, then P implies R.

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

segment addition postulate (2)

angle addition postulate (4)

postulate 5

postulate 6

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

if P is in the interior of <RST, then m<RST = <RSP + <PST

through any two points there exists exactly one line

a line contains at least two points

segment addition postulate (2)

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

angle addition postulate (4)

if P is in the interior of <RST, then m<RST = <RSP + <PST

Segment Addition Postulate

AM + MB = AB

Definition of a Midpoint

If M is the midpoint of AB, then AM = MB

AM + MB = AB

Segment Addition Postulate

If M is the midpoint of AB, then AM = MB

Definition of a Midpoint

Segment Addition Postulate

AM + MB = AB

AM + MB = AB

Segment Addition Postulate

point

Line

Plane

Collinear

represents a particular location. That which has no part.

an infinite collection of points in one dimension- that which…

an infinite collection in two dimension - that which has leng…

3 Points are collinear iff they are on the same line

point

represents a particular location. That which has no part.

Line

an infinite collection of points in one dimension- that which…

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

...

...

Addition Property of Equality

if a = b then a + c = b + c

Subtraction Property of Equality

if a = b, then a - c = b - c

Vertical Angles Theorem

Two Point Postulate

Line Intersection Postulate

Plane Intersection Postulate

All vertical angles are congruent.

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…

Vertical Angles Theorem

All vertical angles are congruent.

Two Point Postulate

Through any two points, there is exactly one line

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Distance between A and B, written as AB, is the absolute valu…

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

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

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

Ruler Postulate

Distance between A and B, written as AB, is the absolute valu…

Segment Addition Postulate

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

Midpoint definition

Segment bisector definition

Congruent segments definition

Angle addition postulate

A point that divides the segment into two congruent segments

a point, line, ray, or other segment that intersects a segmen…

Segments that have the same length

Two little angles make one big angle

Midpoint definition

A point that divides the segment into two congruent segments

Segment bisector definition

a point, line, ray, or other segment that intersects a segmen…

Postulate 5

Postulate 6

Postulate 7

Postulate 8

(1) A line contains at least two points (2) A plane contains…

Through any two points there is exactly one line.

(1) Through any three points there is at least one plane (2)…

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

Postulate 5

(1) A line contains at least two points (2) A plane contains…

Postulate 6

Through any two points there is exactly one line.

Reflexive

Symmetric

Transitive

Addition property

Anything equals itself. AB=AB

If a=b then b=a

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

Add the same thing to both sides. If AB=CD, then AB + EF = CD…

Reflexive

Anything equals itself. AB=AB

Symmetric

If a=b then b=a

Postulate 1-1-1

Postulate 1-1-2

Postulate 1-1-3

Postulate 1-1-4

Through any two points there is exactly one line

Through any three noncollinear points there is exactly one pl…

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

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

Postulate 1-1-1

Through any two points there is exactly one line

Postulate 1-1-2

Through any three noncollinear points there is exactly one pl…

Postulate 5

Postulate 6

Postulate 8

Postulate 9

Through any 2 points there exists exactly one line

A line contains at least 2 points

Through any 3 non-collinear points there exists exactly one p…

A plane contains at least 3 noncollinear points

Postulate 5

Through any 2 points there exists exactly one line

Postulate 6

A line contains at least 2 points

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 and C, then AB+BC=AC

Consider OB and a point A on one side of OB. The rays of the…

If P is the interior of angleRST, then the measure of angleRS…

Ruler Postulate

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

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

Perpendicular Lines

A=A

A=B... B=A

If A=B & B=C, then A=C

Lines that intersect and form right angles

Reflexive Property of Equality

A=A

Symmetric Property of Equality

A=B... B=A

reflexive propety

symmetric property

transitive property

addition postulate

a quantity is congruent to itself (a=a)

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 a…

reflexive propety

a quantity is congruent to itself (a=a)

symmetric property

If a=b, then b=a

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 (…

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…

coordinate midpoint property

segment additive property

angle addition property

linear pair theorem

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

if D is on the interior of Angle ABC,... then m Angle ABD + m An…

if two angles form a linear pair,... then the two angles are sup…

coordinate midpoint property

segment additive property

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

Segment Addition Postulate

Angle Addition Postulate

Conditional Definition

Definition of Linear Pair

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

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

If p then q

When the non shared sides of two adjacent angles form opposit…

Segment Addition Postulate

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

Angle Addition Postulate

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The point on a line can be matched one to one with real numbers

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

m∠OAB is equal to the absolute value of the difference betwee…

If P id in the interior of ∠RST, then m∠RST = m∠RSP + ∠

Ruler Postulate

The point on a line can be matched one to one with real numbers

Segment Addition Postulate

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

Addition Property

Subtraction Property

Multiplication Property

Division Property

if a = b, then a + c = b + c

if a = b, then a - c = b - c

if a = b, then ac = bc

if a = b and c ≠ 0, then a ÷ c = b ÷ c

Addition Property

if a = b, then a + c = b + c

Subtraction Property

if a = b, then a - c = b - c

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 ac=bc

If a=b and c is 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

Definition of congruent segments

Definition of congruent angles

Definition of right angle

Definition of linear pair

1. If segments are congruent, then they have the same measure…

1. If angles are congruent, then they have the same measure.…

1. If an angle has a measure of 90 degrees, then it is a righ…

1. If angles are adjacent angles and are formed by opposite r…

Definition of congruent segments

1. If segments are congruent, then they have the same measure…

Definition of congruent angles

1. If angles are congruent, then they have the same measure.…

reflexive property

symmetric property

transitive property

postulate

a quantity is equal to itself

an equation may be expressed in either order

if quantities are equal to the same quantity, they are equal…

a statement whose truth is accepted without proof

reflexive property

a quantity is equal to itself

symmetric property

an equation may be expressed in either order

supplement theorem

SAP

point-line postulate

point-plane theorem

supplements of congruent angles (or the same angle) are congr…

if AB = CD, then AB + BC = BC + CD

given any two points, there exists exactly one line containin…

given any three non-collinear points there exists exactly one…

supplement theorem

supplements of congruent angles (or the same angle) are congr…

SAP

if AB = CD, then AB + BC = BC + CD

Segment Addition Postulate

Angle Addition Postulate

Two-Point Postulate

Line-Point Postulate

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

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

Through any two points, there is exactly one line.

A line contains 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 the measure of ∠RST is…

Given two points...

Ruler Postulate

On a ray, there is exactly one point t…

If M is the midpoint of segment AB,

there is a unique distance between them.

There is a one to one correspondence between the two points o…

a given distance from the endpoint of the ray.

then 2AM = AB and AM = 1/2 AB.

Given two points...

there is a unique distance between them.

Ruler Postulate

There is a one to one correspondence between the two points o…

Corresponding Angles Converse Postulate

Alternate Interior Angles Converse The…

Alternate Exterior Angles Converse The…

Consecutive Interior Angles Converse T…

if two lines are cut by a transversal so that corresponding a…

if two lines are cut by a transversal so that alternate inter…

if two lines are cut by a transversal so that alternate exter…

if two lines are cut by a transversal so that the consecutive…

Corresponding Angles Converse Postulate

if two lines are cut by a transversal so that corresponding a…

Alternate Interior Angles Converse The…

if two lines are cut by a transversal so that alternate inter…

Segment Addition Postulate

Angle Addition Postulate

Two Point Postulate

Line-Point Postulate

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

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

Through any two points, there exists exactly one line.

A line contains at least two points.

Segment Addition Postulate

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

Angle Addition Postulate

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

2 point, 1 line postulate

3 nonconllinear points, 1 plane postul…

segment addition postulate

angle addition postulate

through any two points, there exists only one line

through any three points not on one line, there exists only o…

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

m angle XYZ= m angle XYW+ m angle WYZ

2 point, 1 line postulate

through any two points, there exists only one line

3 nonconllinear points, 1 plane postul…

through any three points not on one line, there exists only o…

postulate 1-1

postulate 1-2

postulate 1-3

postulate 1-4

through any 2 points there is exactly 1 line

if 2 distinct lines intersect, then they intersect in exactly…

if 2 distinct planes intersect, then they intersect in exactl…

through any three non-collinear points there is exactly 1 plane

postulate 1-1

through any 2 points there is exactly 1 line

postulate 1-2

if 2 distinct lines intersect, then they intersect in exactly…

If two angles are supplementary to the…

If two angles form a linear pair, then…

If two angles are complementary to the…

All right angles are congurent

Congruent Supplements Theorem

Linear Pair Theorem

Congruent Complements Theorem

Right Angle Congruence Theorem

If two angles are supplementary to the…

Congruent Supplements Theorem

If two angles form a linear pair, then…

Linear Pair Theorem

Complementary Angles

Congruent Angles

Congruent Complements Theorem

Congruent Segments

Two angles whose measures have the sum of 90 degrees.

Angles that have the same measure.

If two angles are complementary to the same angle or to congr…

Segments that have the same length.

Complementary Angles

Two angles whose measures have the sum of 90 degrees.

Congruent Angles

Angles that have the same measure.

Ruler Postulate

Segment Addition Postulate

Definition of a midpoint of a segment

Definition of a bisector of a segment

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

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

The point that divides the segment into two congruent segment…

The line, segment, ray, or plane that intersects the segment…

Ruler Postulate

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

Segment Addition Postulate

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