#### Study sets matching "honors theorems postulates geometry postulates theorems"

#### Study sets matching "honors theorems postulates geometry postulates theorems"

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…

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

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

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

Triangle Sum Theorem

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

Exterior Angle Theorem

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

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, the…

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

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

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

Perpendicular Bisector Theorem

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

Corresponding Angles Theorem

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

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 opp…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

What is the difference between a postu…

Definition of Congruence

Segment Addition Postulate

Angle Addition Postulate

A postulate is something that cannot be proven.

if angles have equal measures, then they're congruent

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

If P is in the interior of <RST, then m<RSP + m<PST = m<RST

What is the difference between a postu…

A postulate is something that cannot be proven.

Definition of Congruence

if angles have equal measures, then they're congruent

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

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

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

Ruler Postulate

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

Segment Addition Postulate

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

Transitive Property

Angle Addition Postulate(AAP)

Segment Addition Postulate

Triangle Inequality Theorem

If a=b and b=c then a=c

If b is on the interior of angle coa then cob+boa=coa

If b is in between a and c then AB+BC=AC

The sum of any two sides of a triangle must be greater than t…

Transitive Property

If a=b and b=c then a=c

Angle Addition Postulate(AAP)

If b is on the interior of angle coa then cob+boa=coa

Angle Addition Postulate

Congruent Supplements Theorem

Vertical Angles Theorem

Linear Pair Postulate

Example: if a point S lies in the interior of ∠PQR, ... then ∠PQ…

Two angles that are supplementary to the same angle are congr…

If two angles are vertical angles, then they are congruent

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

Angle Addition Postulate

Example: if a point S lies in the interior of ∠PQR, ... then ∠PQ…

Congruent Supplements Theorem

Two angles that are supplementary to the same angle are congr…

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 ac = bc

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

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points there is exactly one line.

If two lines intersect, then they intersect in exactly one po…

If two plains intersect, then they intersect in exactly one l…

Through any three noncollinear points there is exactly one pl…

Postulate 1-1

Through any two points there is exactly one line.

Postulate 1-2

If two lines intersect, then they intersect in exactly one po…

(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 segme…

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

If figures are congruent, then corresponding segments are con…

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 segme…

(3-9)Definition of bisector:

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

they are congruent.... Right Angles Cong…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Complem…

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 Cong…

If two angles are right angles, then

they are congruent.... Congruent Supplem…

If two angles are supplementary to the same angle, then

Theorem 6-1: The Exterior Angle Theorem

Theorem 6-2

Theorem 6-3

Corollary 1

The measure of an exterior angle of a triangle is greater tha…

If one side of a triangle is longer than a second side, then…

If one angle of a triangle is larger than a second angle, the…

The perpendicular segment from a point to a line is the short…

Theorem 6-1: The Exterior Angle Theorem

The measure of an exterior angle of a triangle is greater tha…

Theorem 6-2

If one side of a triangle is longer than a second side, then…

they are congruent.... Right Angles Cong…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Complem…

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 Cong…

If two angles are right angles, then

they are congruent.... Congruent Supplem…

If two angles are supplementary to the same angle, then

right angles congruence theorem

congruent supplements theorem

congruent complements theorem

linear pair postulate

all right angles are congruent

if two angles are supplementary to the same angle (or to cong…

if two angles are complementary to the same angle (or to cong…

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

right angles congruence theorem

all right angles are congruent

congruent supplements theorem

if two angles are supplementary to the same angle (or to cong…

Ruler Postulate ... 1. If the points on a…

Segment Addition Postulate... If B is bet…

Protractor Postulate... On line AB on a g…

Angle Addition Postulate ... If point B l…

Ruler Postulate ... 1. If the points on a line can be paired wit…

Segment Addition Postulate... If B is between A and C then:... AB+B…

Protractor Postulate... On line AB on a given plane, choose any…

Angle Addition Postulate... If point B lies in the interior of <…

Ruler Postulate ... 1. If the points on a…

Ruler Postulate ... 1. If the points on a line can be paired wit…

Segment Addition Postulate... If B is bet…

Segment Addition Postulate... If B is between A and C then:... AB+B…

Inductive Reasoning

Conjecture

Counterexample

Statement

logic used to reach a conclusion or conjecture

A conclusion that is maybe true or false

example that shows that a conjecture is false

a sentence that can be either True or False

Inductive Reasoning

logic used to reach a conclusion or conjecture

Conjecture

A conclusion that is maybe true or false

Theorem 1

Theorem 2

Theorem 3

Theorem 4

If two angles are right angles, they are congruent

If two angles are straight angles, then they are congruent

If a conditional statement is true, then the contrapositive o…

If angles are supplementary to the same angle they are congru…

Theorem 1

If two angles are right angles, they are congruent

Theorem 2

If two angles are straight angles, then they are congruent

Segment Addition Postulate

Angle Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

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

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

a2 + b2 = c2

If 2 angles form a linear pair, then they are supplementary

Segment Addition Postulate

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

Angle Addition Postulate

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

Definition of a Midpoint

Definiton of Segment Bisector

Definition of Angle Bisector

Definition of Complementary Angles

A point that divides or bisects a segment into two CONGRUENT…

A point,ray, line, segment, or a plane that intersects a segm…

A ray that divides an angle into two angles that are congruent

two angles that measures have the sum of 90

Definition of a Midpoint

A point that divides or bisects a segment into two CONGRUENT…

Definiton of Segment Bisector

A point,ray, line, segment, or a plane that intersects a segm…

Law of Detachment

Law of Syllogism

Properties of Congruence

Vertical Angles Theorem

If a conditional is true and its hypothesis is true, then its…

If p→q and q→r are true statements, then p→r is a true statem…

Reflexive Property: AB≅AB and ∠A≅∠A. Symmetric Property: If A…

Vertical angles are congruent.

Law of Detachment

If a conditional is true and its hypothesis is true, then its…

Law of Syllogism

If p→q and q→r are true statements, then p→r is a true statem…

Parallel Lines (||)

Parallel Planes

Skew

Transversal

2 lines that never intersect

2 planes that never intersect

lines which are not coplanar and do not intersect

a line which intersects 2 or more lines

Parallel Lines (||)

2 lines that never intersect

Parallel Planes

2 planes that never intersect

unnamed postulate 1

unnamed postulate 2

unnamed postulate 5

unnamed postulate 4

through any 2 points there is exactly one line

through any 3 noncollinear points the is exactly one plane co…

If two lines intersect they intersect at exactly one pouint

If 2 planes intersect then they intersect at exactly one line

unnamed postulate 1

through any 2 points there is exactly one line

unnamed postulate 2

through any 3 noncollinear points the is exactly one plane co…

ruler postulate 1-2-1

segment addition postulate

protractor postulate

angle addition postulate

the points on a line can be put to a one-to-one correspondenc…

in order to say that a point is between 2 other points, then…

all rays can be drawn from point O and put into a one-to-one…

ruler postulate 1-2-1

the points on a line can be put to a one-to-one correspondenc…

segment addition postulate

in order to say that a point is between 2 other points, then…