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

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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

SSS Congruence Theorem

SAS Congruence Theorem

ASA Congruence Theorem

AAS Congruence Theorem

If the 3 sides of one triangle are congruent to the 3 sides of…

If 2 sides and the included angle of one triangle are congruen…

If 2 angles and the included side of one triangle are congruen…

If 2 angles and a non included side of one triangle are congru…

SSS Congruence Theorem

If the 3 sides of one triangle are congruent to the 3 sides of…

SAS Congruence Theorem

If 2 sides and the included angle of one triangle are congruen…

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≠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 (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

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

True

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

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

If D is in the interior of Angle ABC, then... (meas.)angle ABD +…

State whether the following statement is true or false: ... Throu…

Ruler Postulate

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

Segment Addition Postulate

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

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

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

True

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

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

If D is in the interior of Angle ABC, then... (meas.)angle ABD +…

State whether the following statement is true or false: ... Throu…

Ruler Postulate

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

Segment Addition Postulate

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

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

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

2.1

2.2

2.3

2.4

Through any two 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

2.1

Through any two points, there is exactly one line

2.2

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

Through any two points there is exactly…

Through any three noncollinear points t…

If two points lie in a plane, then the…

If two lines intersect, they then inter…

Through any two points there is exactly one line

Through any three noncollinear points there is exactly one pla…

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

If two lines intersect, they then intersect at exactly one poi…

Through any two points there is exactly…

Through any two points there is exactly one line

Through any three noncollinear points t…

Through any three noncollinear points there is exactly one pla…

2.1

2.2

2.3

2.4

Through any two 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

2.1

Through any two points, there is exactly one line

2.2

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

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

postulate

theorem

Postulate 2-1

Postulate 2-2

accepted as true without proof

a true statement that follows as a result of other true statem…

through any two points, there is exactly one line

through three non-collinear points, there is exactly one plane

postulate

accepted as true without proof

theorem

a true statement that follows as a result of other true statem…

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

Through any two points,

Through any 3 noncollinear points,

A line contains

A plane contains

there is exactly one line

there is exactly one plane

at least 2 points

at least 3 noncollinear points

Through any two points,

there is exactly one line

Through any 3 noncollinear points,

there is exactly one plane

Same-side Interior Angle Postulate... If a…

Alternate Interior Angles Theorem... If a…

Corresponding Angles Theorem... If a trans…

Alternate Exterior Angles Theorem... If a…

supplementary... m∠1 + m∠2 = 180

congruent

corresponding

exterior

Same-side Interior Angle Postulate... If a…

supplementary... m∠1 + m∠2 = 180

Alternate Interior Angles Theorem... If a…

congruent

Segment Addition Postulate

Addition Property of Equality/Congruence

Subtraction Property of Equality/Congru…

Multiplication Property of Equality/Con…

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

If you add to one side you have to do it to the other

If you subtract one side you have to do the same to the other

If you multiply on one side you have to do the same on the oth…

Segment Addition Postulate

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

Addition Property of Equality/Congruence

If you add to one side you have to do it to the other

AA Similarity

SSS Similarity

SAS Similarity

Triangle Proportionality theorem

If two angles of one triangle are ≅ to two angles of another t…

If the measures of the corresponding sides of two triangles ar…

If the measures of the two sides of a triangle are proportiona…

If a line is parallel to one side of a triangle and intersects…

AA Similarity

If two angles of one triangle are ≅ to two angles of another t…

SSS Similarity

If the measures of the corresponding sides of two triangles ar…

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

Postulates

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Statements that are accepted as true without proof

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

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

On AB in a given plane, choose any point O between A and B. Co…

Postulates

Statements that are accepted as true without proof

Ruler Postulate

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

Segment Addition Postulate

Addition Property of Equality/Congruence

Subtraction Property of Equality/Congru…

Multiplication Property of Equality/Con…

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

If you add to one side you have to do it to the other

If you subtract one side you have to do the same to the other

If you multiply on one side you have to do the same on the oth…

Segment Addition Postulate

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

Addition Property of Equality/Congruence

If you add to one side you have to do it to the other

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

Definiton of a Midpoint

Definiton of Bisects

Flat plane postulate

Right Angle Theorem

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

2 EQUAL PARTS... Segment Bisector... Angle Bisector

If 2 points are on a plane, then the line containing those poi…

All right angles are congruent

Definiton of a Midpoint

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

Definiton of Bisects

2 EQUAL PARTS... Segment Bisector... Angle Bisector