# Study sets matching "geometry theorems postulates"

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Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Points on a line can be matched one to one with real numbers t…

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

Degrees on a protractor can be matched up one to one to repres…

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

Ruler Postulate

Points on a line can be matched one to one with real numbers t…

Segment Addition Postulate

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

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Ruler Postulate: The points on a line can be paired with the r…

Segment Addition Postulate: If B is between A and C, then AB +…

Protractor Postulate: On line AB in a given plane, choose any…

Angle Addition Postulate: If point B lies in the interior of <…

Postulate 1

Ruler Postulate: The points on a line can be paired with the r…

Postulate 2

Segment Addition Postulate: If B is between A and C, then AB +…

Angle-Side-Angle Congruence Theorem (AS…

Postulate

Theorem

Angle-Angle-Side Congruence Theorem (AA…

If two angles and a side between them are congruent in two dif…

A rule that we accept to be true.

A rule that has been proven to be true.

If two angles and a side not between them are congruent in two…

Angle-Side-Angle Congruence Theorem (AS…

If two angles and a side between them are congruent in two dif…

Postulate

A rule that we accept to be true.

Definition of Congruent

Definition of Midpoint

Definition of Bisector

Segment Addition Postulate

Segments are congruent if and only if the distance between the…

A point on a segment is the midpoint if it divides the segment…

A segment is bisected if and only if it is divided into 2 cong…

If B is between A and C (points must be collinear), then AB +…

Definition of Congruent

Segments are congruent if and only if the distance between the…

Definition of Midpoint

A point on a segment is the midpoint if it divides the segment…

Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal then the pair o…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

consecutive vertices (7)

diagonal (7)

Arc Addition Postulate (10)

Polygon Interior Angles Theorem (7)

two vertices that are endpoints of the same side

a segment that joins two non-consecutive vertices

The measure of an arc formed by two adjacent arcs is the sum o…

The sum of the measures of the interior angles of a convex n-g…

consecutive vertices (7)

two vertices that are endpoints of the same side

diagonal (7)

a segment that joins two non-consecutive vertices

Segment addition postulate

Angle addition postulate

Through any two points

Through any three points there is at le…

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

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

Through any two points there is exactly one line

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

Segment addition postulate

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

Angle addition postulate

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

Definition of Midpoint

Definition of Segment Bisector

Definition of Angle Bisector

Definition of Perpendicular

If D is the midpoint of AB then AD=DB (equal parts created).

If PM bisects AB, AM=MB.

If XB bisects angle ABC, then <ABX is congruent to <XBC

Perpendicular Lines form right angles.

Definition of Midpoint

If D is the midpoint of AB then AD=DB (equal parts created).

Definition of Segment Bisector

If PM bisects AB, AM=MB.

Postulate 1: Ruler Postulate

Postulate 2: Segment Addition Postulate

Postulate 4: The Angle Addition Postula…

Postulate 5

The points on a line can be paired in a one-to-one corresponde…

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

If point D is in the interior of angle ABC, then the m of angl…

Through any two points there is exactly one line.

Postulate 1: Ruler Postulate

The points on a line can be paired in a one-to-one corresponde…

Postulate 2: Segment Addition Postulate

If B is between 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

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

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…

2: Postulate 5

2: Postulate 6

2: Postulate 7

2: Postulate 8

Through any two points there exists exactly one line

A line contains at least two points

If two lines intersect, then their intersection is exactly one…

Through any three non-collinear points there exists exactly on…

2: Postulate 5

Through any two points there exists exactly one line

2: Postulate 6

A line contains at least two points

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

Equal Complements Theorem

Equal Supplements Theorem

Linear Pair Theorem

Vertical Angles Theorem

complements of the same (or equal) angle are equal in measure

supplements of the same (or equal) angle are equal in measure

if two angles for a linear pair, then the angles are supplemen…

vertical angles are congruent

Equal Complements Theorem

complements of the same (or equal) angle are equal in measure

Equal Supplements Theorem

supplements of the same (or equal) angle are equal in measure

Congruent Supplements Theorem

Congruent Complements Theorem

Theorem 1-4

Theorem 1-5

if two angles are supplementary to congruent angles they are c…

If two angles are complementary to congruent angles they are c…

All right angles are congruent

If two angles are congruent and supplementary, then each is a…

Congruent Supplements Theorem

if two angles are supplementary to congruent angles they are c…

Congruent Complements Theorem

If two angles are complementary to congruent angles they are c…

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

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

If a = b, then a(c) = b(c)

If a = b and c doesn't equal zero, then…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of equality

Division Property of Equality

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

Addition Property of Equality

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

Subtraction Property of Equality

Midpoint Theorem (Theorem 2-1)

Angle Bisector Theorem (Theorem 2-2)

Definition of Complementary Angles

Definition of Supplementary Angles

If M is the midpoint of segment AB, then AM= 1/2AB and MB=1/2AB

If AB bisects angle CAD then the measure of angle CAB = 1/2 of…

Two angles' sum that adds up to 90 degrees

2 angles whose sum is 180

Midpoint Theorem (Theorem 2-1)

If M is the midpoint of segment AB, then AM= 1/2AB and MB=1/2AB

Angle Bisector Theorem (Theorem 2-2)

If AB bisects angle CAD then the measure of angle CAB = 1/2 of…

altitude of a triangle

circumcenter of a triangle

incenter of a triangle

orthocenter of a triangle

a perpendicular segment from a vertex to the line containing t…

the point of concurrency of the perpendicular bisectors of a t…

the point of concurrency of the angle bisectors of a triangle

the point of concurrency of the three altitudes of a triangle

altitude of a triangle

a perpendicular segment from a vertex to the line containing t…

circumcenter of a triangle

the point of concurrency of the perpendicular bisectors of a t…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Through any two points, there is exactl…

Through any three non-collinear points,…

A line contains at least.........?

A plane contains at least..............…

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 non-collinear points

Through any two points, there is exactl…

Through any two points, there is exactly one line.

Through any three non-collinear points,…

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 point O on line AB, all rays that can be dra…

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