# 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 +…

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…

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 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

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

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…

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…

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…

Corresponding Angles

Corresponding Angles Converse

Alternate Interior Angles

Alternate Exterior Angles

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

If two lines are cut by a transversal and the corresponding an…

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

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

Corresponding Angles

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

Corresponding Angles Converse

If two lines are cut by a transversal and the corresponding an…

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

Theorem 5.1 (perpendicular Bisector The…

Theorem 5.2 (Converse of the Perpendicu…

Theorem 5.3 (Circumcenter Theorem)

Theorem 5.4 (Angle Bisector Theorem)

If a point is on the perpendicular bisector of a segment then…

If a point is equidistant from the endpoints of a segment then…

The perpendicular bisectors of a triangle intersect at a point…

If a point is on the bisector of an angle, then it is equidist…

Theorem 5.1 (perpendicular Bisector The…

If a point is on the perpendicular bisector of a segment then…

Theorem 5.2 (Converse of the Perpendicu…

If a point is equidistant from the endpoints of a segment then…

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

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…

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…

Theorem 4.1

Side-side-side (SSS)

Side-angle-side (SAS)

Angle-side-angle (ASA)

If 2 angles of one triangle are congruent to 2 angles of anoth…

three sides of one triangle are equal to three sides of another

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

Two angles and the included side are congruent

Theorem 4.1

If 2 angles of one triangle are congruent to 2 angles of anoth…

Side-side-side (SSS)

three sides of one triangle are equal to three sides of another

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…

Justification that angles/segments are…

Justification that angles are congruent…

Justification that angles are congruent…

Justification that angles are congruent…

Corresponding parts of corresponding figures are congruent

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

If ray BD is the bisector of ∠ABC, then ∠ABD ≅ ∠DBC.

Two angles are congruent iff they have the same measure.... - If…

Justification that angles/segments are…

Corresponding parts of corresponding figures are congruent

Justification that angles are congruent…

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