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

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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

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

theorem 1

theorem 2

theorem 3

theorem 4

If two angles are right angles, then they are congruent

if two angles are straight angles, then they are congruent

If a conditional statement is true, the the contrapositive of…

If angles are supplementary to the same angle, then they are c…

theorem 1

If two angles are right angles, then they are congruent

theorem 2

if two angles are straight 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…

Largest Angle Theorem

Longest side theorem

Vertical angles theorem

Congruent supplements or complements th…

If two sides of a triangle are not congruent then the larger a…

if two angles of a triangle are not congruent then the longer…

vertical angles are congruent

if two angles are supplements or complements of the same angle…

Largest Angle Theorem

If two sides of a triangle are not congruent then the larger a…

Longest side theorem

if two angles of a triangle are not congruent then the longer…

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 segment…

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 segment…

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 pla…

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

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

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 pla…

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.

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

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

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.

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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 f…

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

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, then AB+BC=AC

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 pla…

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

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

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 pla…

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 exactly…

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…

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, t…

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

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, t…

Angle Addition Postulate

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

Angle addition postulate "if point b li…

Ruler postulate "the points on a line c…

Segment addition postulate "if B is bet…

Protractor postulate "on line AB in a g…

If point B lies in the interior of angle AOC then the measure…

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

On the segment AB in a given plane, choose any point, O, betwe…

Angle addition postulate "if point b li…

If point B lies in the interior of angle AOC then the measure…

Ruler postulate "the points on a line c…

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

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 congru…

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.

2 point, 1 line postulate

3 nonconllinear points, 1 plane postula…

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 on…

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 postula…

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

One B is between A and C then they must be collinear.

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

Find the measure of <ABC on a line by subtracting the real num…

If D is in the interior of <ABC, then the measure of <ABC. Is…

Ruler Postulate

One B is between A and C then they must be collinear.

Segment Addition Postulate

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

Tangent Theorem

Converse of the Tangent Theorem

Tangent Segments Theorem

Chords and Arcs Theorem

If a line is tangent to a circle, then the line is perpendicul…

If a line is perpendicular to a radius of a circle at its endp…

If 2 segments are tangent to a circle from the same external p…

Congruent chords intercept congruent arcs in a circle or in co…

Tangent Theorem

If a line is tangent to a circle, then the line is perpendicul…

Converse of the Tangent Theorem

If a line is perpendicular to a radius of a circle at its endp…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

(A Point And A Line Postulate)

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

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

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

Through any two points there is exactly one line

Ruler Postulate

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

Segment Addition Postulate

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

Postulate 5.1

Postulate 5.2

Postulate 5.3

Postulate 6

A line has at least two points

A plane contains at least three points not all on one line

Space contains at least four points not all on one plane

Through any two points there is exactly one line

Postulate 5.1

A line has at least two points

Postulate 5.2

A plane contains at least three points not all on one line

definition of supplementary

definition of complementary

definition of congruent

definition of angle bisector

the sum of the measures of two angles equals 180 degrees

the sum of the measures of two angles is 90

When you go from congruent to = or = to congruent

A line or ray that divides an angle into 2 congruent angles

definition of supplementary

the sum of the measures of two angles equals 180 degrees

definition of complementary

the sum of the measures of two angles is 90

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 and j=k, then a+j=b+k

If a=b, then a-c=b-c... If a=b and j=k, then a-j=b-k

If a=b, then wa=wb... if c=d and r=s, then cr=ds

If p=q, then p/q=q/p

Addition Property Of Equality

If a=b, then a+c=b+c... If a=b and j=k, then a+j=b+k

Subtraction Property of Equality

If a=b, then a-c=b-c... If a=b and j=k, then a-j=b-k

SSS Postulate (Side-side-side)

SAS Postulate (side-angle-side)

ASA Postulate (angle-side-angle

AAS Postulate (angle-angle-side)

If all three sides of one triangle are congruent to all three…

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

If two angles and a non-included side of one triangle are cong…

SSS Postulate (Side-side-side)

If all three sides of one triangle are congruent to all three…

SAS Postulate (side-angle-side)

If two sides and the included angle of one triangle are congru…

Through any two points

If two lines intersect then

If two distinct planes intersect then

Through any 3 non-collinear points

There is exactly one line.

They intersect at exactly one point.

They intersect at exactly one line.

There is one plane.

Through any two points

There is exactly one line.

If two lines intersect then

They intersect at exactly one point.