# Study sets matching "theorems postulates geometry postulates theorems"

Complementary angles

Supplementary angles

Theorem

Vertical Angles

two angles whose measures have a sum of 90°

two angles who measures have a sum of 180°

a statement that can be proven

two angles formed by intersecting lines and facing in the oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

they are congruent.... Right Angles Congr…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Compleme…

If two angles are right angles, then

If two angles are supplementary to the same angle, then

If two angles are supplementary to congruent angles, then

If two angles are complementary to the same angle, then

they are congruent.... Right Angles Congr…

If two angles are right angles, then

they are congruent.... Congruent Suppleme…

If two angles are supplementary to the same angle, then

they are congruent.... Right Angles Congr…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Compleme…

If two angles are right angles, then

If two angles are supplementary to the same angle, then

If two angles are supplementary to congruent angles, then

If two angles are complementary to the same angle, then

they are congruent.... Right Angles Congr…

If two angles are right angles, then

they are congruent.... Congruent Suppleme…

If two angles are supplementary to the same angle, then

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

All right angles are congruent.

Supplements of congruent angles are con…

Right

Supplementary (Working with total of 4 angles)

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

they are congruent.... Right Angles Congr…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Compleme…

If two angles are right angles, then

If two angles are supplementary to the same angle, then

If two angles are supplementary to congruent angles, then

If two angles are complementary to the same angle, then

they are congruent.... Right Angles Congr…

If two angles are right angles, then

they are congruent.... Congruent Suppleme…

If two angles are supplementary to the same angle, then

(2-4)Definition of midpoint:

(3-9)Definition of bisector:

(5-2)CPCF Theorem (segment):

(2-4)Definition of a circle:

If a point is the midpoint of a segment, it divides the segmen…

If a figure is the the bisector of a segment, it divides the s…

If figures are congruent, then corresponding segments are cong…

If a figure is a circle, then its radii are congruent. (2-4)

(2-4)Definition of midpoint:

If a point is the midpoint of a segment, it divides the segmen…

(3-9)Definition of bisector:

If a figure is the the bisector of a segment, it divides the s…

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…

Corresponding Angles Converse

Alternate Interior Angles Converse

Alternative Exterior Angles Converse

Consecutive Interior Angles converse

If two lines are cut by a transversal so the corresponding ang…

If two lines are cut by a transversal so the alternate interio…

if two lines are cut by a transversal so the alternate exterio…

If two lines are cut by a transversal so the consecutive inter…

Corresponding Angles Converse

If two lines are cut by a transversal so the corresponding ang…

Alternate Interior Angles Converse

If two lines are cut by a transversal so the alternate interio…

Right Angle Congruence Theorem

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If 2 angles are right angles, then they are congruent

If 2 angles are vertical angles, then they are congruent

If 2 angles are supplementary to the same angle or congruent a…

If 2 angles are complementary to the same angle or congruent a…

Right Angle Congruence Theorem

If 2 angles are right angles, then they are congruent

Vertical Angles Theorem

If 2 angles are vertical angles, then they are congruent

Definition of Midpoint

Vertical Angles Theorem

Reflexive property

Symmetric property

(Not def. Of congruent segments)

∠CXE=∠CXE

GH = KL so ... KL = GH

Definition of Midpoint

(Not def. Of congruent segments)

Vertical Angles Theorem

segment addition postulate

reflexive property

congruent

midpoint theorem

AB + BC = AC

any segment or angle is congruent/equal to itself (AB = AB) (m…

have equal measure

If AB + BC = AC and AB=BC

segment addition postulate

AB + BC = AC

reflexive property

any segment or angle is congruent/equal to itself (AB = AB) (m…

corresponding angles

congruent corresponding angles

SSS Postulate

SAS Postulate

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

If two lines are cut by a transversal and corresponding angles…

If three sides of one triangle are congruent to three sides of…

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

corresponding angles

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

congruent corresponding angles

If two lines are cut by a transversal and corresponding angles…

Triangle Sum Theorem

Exterior Angle Theorem

Exterior Angle Inequality Theorem

Triangle Inequality 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…

the measure of an exterior angle of a triangle is greater than…

the sum of the lengths of any 2 sides of a triangle is greater…

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…

Perpendicular Bisector Theorem

Corresponding Angles Theorem

Alternate Interior Angles Theorem

Same-Side Interior Angles Postulate

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

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

If two parallels are cut by a transversal, then the pair of al…

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

Perpendicular Bisector Theorem

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

Corresponding Angles Theorem

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

Postulate

Theorem

Intersection of 2 lines is exactly...

Intersection of 2 planes is exactly...

Statement accepted without proof

Conjecture (mathematical hypothesis) that has been proved

1 point

1 line

Postulate

Statement accepted without proof

Theorem

Conjecture (mathematical hypothesis) that has been proved

Midpoint

Collinear

Straight Angles

Acute Angles

It is a midpoint if and only if it divides a segment into two…

3 or more points on the same line

The sides of a straight angle form a line

Acute angles are less than a right angle

Midpoint

It is a midpoint if and only if it divides a segment into two…

Collinear

3 or more points on the same line

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

1. The points on a line can be paired with the real numbers in…

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

On line AB in a given plane, choose any point O between A and…

If point B lies in the interior of <AOC, the m<AOB a m<BOC = m…

Ruler Postulate

1. The points on a line can be paired with the real numbers in…

Segment Addition Postulate

If B is between A and 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

Segment Addition Postulate

Protractor Postulate

Parallel Lines

Skew Lines

AB + BC = AC

Says that you can measure any angle

two lines that don't intersect and are coplanar

two lines that don't intersect and aren't coplanar

Segment Addition Postulate

AB + BC = AC

Protractor Postulate

Says that you can measure any angle

Complementary angles

Supplementary angles

Theorem

Vertical Angles

two angles whose measures have a sum of 90°

two angles who measures have a sum of 180°

a statement that can be proven

two angles formed by intersecting lines and facing in the oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched one to one with the real n…

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

The measure of ∠AOB, which can be written as m∠AOB, is equal t…

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

Ruler Postulate

The points on a line can be matched one to one with the real n…

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

parallel pos.

perpendicular pos.

paragraph proof

transitive property of parallel lines

if there is a line and a point not on that line then there is…

if there is a line and a point not on that line then there is…

a proof written as a paragraph

if two lines are parallel to the same line then they are paral…

parallel pos.

if there is a line and a point not on that line then there is…

perpendicular pos.

if there is a line and a point not on that line then there is…

Linear Pair Postulate

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

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

The points on a line can be matched one to one with real numbe…

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

Consider (line)OB and a point A on one side of (line)OB. The r…

Linear Pair Postulate

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

Ruler Postulate

The points on a line can be matched one to one with real numbe…

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Law of Detachment

Let A, B, and C be collinear points. If B is between A and C,…

Given line AB and a point O on line AB, all rays that can be d…

If B is in the interior of <AOC, then the m<AOB + m<BOC = m<AOC

if p->q is a true conditional statement, and p is true, then q…

Segment Addition Postulate

Let A, B, and C be collinear points. If B is between A and C,…

Protractor Postulate

Given line AB and a point O on line AB, all rays that can be d…