# Study sets matching "geometry theorems postulates"

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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

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

Law of Detachment

law of syllogism

Postulate 2.1 - Two Point Postulate

Postulate 2.2 - Line-Point Postulate

if the hypothesis of a true conditional statement is true, the…

if 'if hypothesis p, then conclusion q' is true and 'if hypoth…

through any two points, there exists exactly one line

a line contains at least two points

Law of Detachment

if the hypothesis of a true conditional statement is true, the…

law of syllogism

if 'if hypothesis p, then conclusion q' is true and 'if hypoth…

Point

Line

Segment

Ray

A dot represented by a letter.

Two points determine a line. A line is never ending.

Two points determine a segment. A segment has a definite end a…

Two points determine a ray. A ray has one definite end and a n…

Point

A dot represented by a letter.

Line

Two points determine a line. A line is never ending.

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…

Triangle Sum Theorem

Exterior Angle Theorem

Third Angles Theorem

SAS Congruence Theorem

The sum of the measures of the interior angles of a triangle i…

The measure of an exterior angle of a triangle is equal to the…

If two angles of one triangle are congruent to two angles of a…

If two sides and the included angle are congruent to two sides…

Triangle Sum Theorem

The sum of the measures of the interior angles of a triangle i…

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to the…

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.

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

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…

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…

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…

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

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Congruent Supplements Theorem

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

If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

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

If two angles are supplementary to the same angle (or to two c…

Segment Addition Postulate

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

Angle Addition Postulate

If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

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

Segment Addition Postulate

Supplement Theorem

Complement Theorem

Congruent Complements theorem

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

if 2 angles form a linear pair, then they are supplementary an…

If the noncommon sides of 2 adjacent angles form a right angle…

if <1+<2=180 and <2+<3=180, then <1 congruent to <3

Segment Addition Postulate

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

Supplement Theorem

if 2 angles form a linear pair, then they are supplementary an…

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 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

Undefined Terms

Segment AB

Ray AB

The Line Postulate

Points, Lines, and Planes

Consists of points A and B and all the points in between them

Consists of segment AB and all points C such that B is between…

Through any two points there is exactly one line

Undefined Terms

Points, Lines, and Planes

Segment AB

Consists of points A and B and all the points in between them

The Side-Splitter Theorem

Corollary to the side-splitter theorem

The AA Theorem

Corollary to the AA theorem

If a line parallel to one side of a triangle intersects the ot…

If a line parallel to one side of a triangle intersects the ot…

If two angles of one triangle are equal to two angles of anoth…

Two triangles similar to a third triangle are similar to each…

The Side-Splitter Theorem

If a line parallel to one side of a triangle intersects the ot…

Corollary to the side-splitter theorem

If a line parallel to one side of a triangle intersects the ot…

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…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Adding the same number to both sides of an equation.

Subtracting the same number from both sides of an equation.

Multiplying the same number to both sides of an equation.

Dividing both sides of an equation by the same number.

Addition Property of Equality

Adding the same number to both sides of an equation.

Subtraction Property of Equality

Subtracting the same number from both sides of an equation.

Segment Addition Postulate

Angle Addition Postulate

Definition of Midpoint

Definition of Angle Bisector

If B is between A and C then the length of AC is equal to the…

If P is in the interior of ∠RST then the measure of ∠RST is th…

The point which divides the segment into two congruent segments

A ray that divides an angle into two adjacent angles that are…

Segment Addition Postulate

If B is between A and C then the length of AC is equal to the…

Angle Addition Postulate

If P is in the interior of ∠RST then the measure of ∠RST is th…