# Study sets matching "geometry theorems postulates"

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segment addition postulate (1.2)

midpoint (1.3)

segment bisector (1.3)

angle addition postulate (1.5)

when 3 points are collinear, you can say that one point is bet…

midpoint of a segment is the point that divides the segment in…

point, ray line, line segment or plane that intersects the seg…

if angle AB is equal to angle BC, then angle AB + angle BC = AC

segment addition postulate (1.2)

when 3 points are collinear, you can say that one point is bet…

midpoint (1.3)

midpoint of a segment is the point that divides the segment in…

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…

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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…

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

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…

segment addition postulate (SAP)

angle addition postulate (AAP)

addition property of equality

subtraction property of equality

if B is between A and C, then AB + BC = AC... if AB + BC = AC, th…

Angles can be added together if they are adjacent

Adding a value to each side of an equation... if a=b, then a+c=b+c

subtracting a value from each side of an equation ... if a=b then…

segment addition postulate (SAP)

if B is between A and C, then AB + BC = AC... if AB + BC = AC, th…

angle addition postulate (AAP)

Angles can be added together if they are adjacent

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…

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 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

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

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…

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…

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…

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…

Segment Addition Postulate

Angle Addition Postulate

Definition of Midpoint & Bisector

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…

A bisector bisects a line segment at its midpoint which divide…

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…

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…

Alternate interior angles theorem

Alternate exterior angles theorem

Angle bisector theorem

Angle-angle triangle similarity theorem

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

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

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

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

Alternate interior angles theorem

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

Alternate exterior angles theorem

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