# Study sets matching "postulates geometry theorems"

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Postulate - 2.1

Postulate - 2.2

Postulate - 2.3

Postulate - 2.4

Through any two points, there is exactly one line

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

A line contains at least two points

A plane contains at least three non collinear points

Postulate - 2.1

Through any two points, there is exactly one line

Postulate - 2.2

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

commutative property of addition

distributive property

addition property of equality

subtraction property of equality

a + b = b +a

a(b + c) = ab + ac

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

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

commutative property of addition

a + b = b +a

distributive property

a(b + c) = ab + ac

Linear Pair Postulate

Law of Detachment (word definition)

Law of Detachment (symbolic form)

Law of Syllogism (symbolic form)

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

If the hypothesis of a true conditional is true, then the conc…

If p --> q is true and p is true, then q is true.

If p --> q is true and q --> r is true, then p --> r is true.

Linear Pair Postulate

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

Law of Detachment (word definition)

If the hypothesis of a true conditional is true, then the conc…

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.

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.

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…

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 +…

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

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…

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.

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…

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

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

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

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

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

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…

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…

Theorem 5.3 (Circumcenter Theorem)

Theorem 5.4 (Angle Bisector Theorem)

Theorem 5.5 (Converse of the Angle Bise…

Theorem 5.6 (Incenter Theorem)

The perpendicular bisectors of a triangle intersect at a point…

If a point is on the bisectors of an angle, then it is equidis…

If a point in the interior of an angle is equidistant from the…

The angle bisectors of a triangle intersect at a point called…

Theorem 5.3 (Circumcenter Theorem)

The perpendicular bisectors of a triangle intersect at a point…

Theorem 5.4 (Angle Bisector Theorem)

If a point is on the bisectors of an angle, then it is equidis…

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

Perp bisector theorem

concurrence of perp bisectors

Concurrence of Angle Bisectors

The triangle congruence postulates

each point on the perpendicular bisector of a segment is equid…

in any triangle the perp bisectors of the sodes and concurrent…

in any triangle the angle bisectors are concurrent ( meeting a…

if two triangles share the following triplets of congruent cor…

Perp bisector theorem

each point on the perpendicular bisector of a segment is equid…

concurrence of perp bisectors

in any triangle the perp bisectors of the sodes and concurrent…