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

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If two angles are right angles, then th…

If two angles are straight angles, then…

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 th…

Theorem

If two angles are straight angles, then…

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 th…

If two angles are straight angles, then…

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 th…

Theorem

If two angles are straight angles, then…

Theorem

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Property of Equality

a=a

a=b, then b=a

if a=b and b=c, then a=c

if a=b, than a may be replaced with b

Reflexive Property of Equality

a=a

Symmetric Property of Equality

a=b, then b=a

Postulate

Segment Congruence Postulate

Segment Addition Postulate

Two Point Postulate

Statement accepted without proof

Congruent segments have the same length

PR + RQ = PQ (MEASURES are being added, not segments)

Two points determine exactly one line. (Through any two points…

Postulate

Statement accepted without proof

Segment Congruence Postulate

Congruent segments have the same length

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

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.

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

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

Ruler Postulate

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

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 a…

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

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 correspondence…

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

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

ruler postulate 1-2-1

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

segment addition postulate

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

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 poi…

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

Vertical Angles Theorem

All vertical angles are congruent.

Two Point Postulate

Through any two points, there is exactly one line

inductive reasoning

conjecture

counterexample

point

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

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 obs…

conjecture

a conclusion you reach using inductive reasoning

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

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 pl…

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 put into a one-to-one corresponden…

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

Given line AB and a point O 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

Point-Line Postulate

Isosceles Triangle Theorem

Isoceles Triangle Converse

Linear Pair Postulate

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

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

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

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

Point-Line Postulate

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

Isosceles Triangle Theorem

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

Reflexive Property

Symmetric Property

Transitive Property

Congruent Supplementaries

When anything is congruent or equal to itself

When you switch the order of two things that are congruent or…

If A equals B and B equals C then A equals C

If two angles are supplements of the same angle then they are…

Reflexive Property

When anything is congruent or equal to itself

Symmetric Property

When you switch the order of two things that are congruent or…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

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

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

Ruler Postulate

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

Segment Addition Postulate

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

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 Ang…

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

coordinate midpoint property

segment additive property

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

Postulate

Corresponding Angles Postulate

Properties of a rhombus

Properties of a rectangle

Or axiom, is a statement that is accepted as true without proo…

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

If a quadrilateral is a rhombus, then it is a parallelogram ... I…

If a quadrilateral is a rectangle, then it is a parallelogram…

Postulate

Or axiom, is a statement that is accepted as true without proo…

Corresponding Angles Postulate

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

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

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 th…

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 ray…

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 ray…

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.

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, th…

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, th…

angle addition postulate (4)

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

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 lengt…

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…