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Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

All right angles are congruent.

Supplements of congruent angles are co…

Right

Supplementary (Working with total of 4 angles)

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

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 t…

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

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 t…

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°

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

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 i…

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 =…

Ruler Postulate

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

Segment Addition Postulate

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

Segment addition postulate

Angle addition postulate

Postulate 5

Postulate 6

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

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

A line contains at least two points; a plane contains at leas…

Through any two points there is exactly one line.

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 <AOC, then m<AOB + m<BOC =…

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

theorem

postulate

definition

geometry

a statement that can be proved

something we don't need to prove, uses past information to ba…

assigns a term to an object. are always reversible

to take a series of facts to put in a logical way to reach a…

theorem

a statement that can be proved

postulate

something we don't need to prove, uses past information to ba…

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

Parallel Lines

Perpendicular Lines

Skew Lines

Parallel Planes

Are coplanar lines and do not intersect.

Lines that intersect at 90 degree angles.

Lines that are not coplanar, not parallel, and do not interse…

Are planes that do not intersect.

Parallel Lines

Are coplanar lines and do not intersect.

Perpendicular Lines

Lines that intersect at 90 degree angles.

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

theorem

postulate

definition

segment bisector

a statement that can be proved

something we don't need to prove, uses past information to ba…

assigns a term to an object. are always reversible

segment,ray,line, plane that divides a segment into two congr…

theorem

a statement that can be proved

postulate

something we don't need to prove, uses past information to ba…

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Ruler Postulate: The points on a line can be paired with the…

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…

Postulate 2

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

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

postulate 2.1

postulate 2.2

postulate 2.3

postulate 2.4

through any two points, there is exactly one point

through any three points not on the same line, there is exact…

a line contains at least two points

a plane contains at least three points not on the same line... p…

postulate 2.1

through any two points, there is exactly one point

postulate 2.2

through any three points not on the same line, there is exact…

Postulate 1 (Ruler Postulate)

Postulate 2 (Segment Addition Postulate)

Postulate 3 (Protractor Postulate)

Postulate 4 (Angle Addition Postulate)

The points on a line can be paired with real numbers in such…

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

If in <QOA, Ray OP lies inside of the angle, ... <QOP=<QOA-<POA

If point B lies on the interior of angle AOC, then angle AOB+…

Postulate 1 (Ruler Postulate)

The points on a line can be paired with real numbers in such…

Postulate 2 (Segment Addition Postulate)

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

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Segment adding post

Definition of midpoint

Vertical angles theorem

Angle adding postulate

AB+BC=AC

(Not def. Of congruent segments-cuz there is a midpt in the m…

∠QRT+ ∠TRS= ∠QRS

Segment adding post

AB+BC=AC

Definition of midpoint

(Not def. Of congruent segments-cuz there is a midpt in the m…

theorem

postulate

definition

geometry

a statement that can be proved

something we don't need to prove, uses past information to ba…

assigns a term to an object. are always reversible

to take a series of facts to put in a logical way to reach a…

theorem

a statement that can be proved

postulate

something we don't need to prove, uses past information to ba…

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

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

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 equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Inductive Reasoning

Conjecture

Counterexample

Segment addition postulate

looking for patterns and guessing what will happen next

Unproven statement based on previous facts

An example that proves a statement false

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

Inductive Reasoning

looking for patterns and guessing what will happen next

Conjecture

Unproven statement based on previous facts

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

Congruent triangles

All pairs of corresponding parts are c…

Congruent polygons

All pairs of corresponding parts are c…

All pairs of corresponding parts are congruent

Congruent triangles

All pairs of corresponding parts are corresponding parts are…

Congruent polygons

Congruent triangles

All pairs of corresponding parts are congruent

All pairs of corresponding parts are c…

Congruent triangles

Addition Property

Subtraction Property

Multiplication Property

Division Property

if a=b and c=d, then a+c=b+d

if a=b and c=d, then a-c=b-d

if a=b then ca=cb

if a=b then a/c=b/c where c doesn't = 0

Addition Property

if a=b and c=d, then a+c=b+d

Subtraction Property

if a=b and c=d, then a-c=b-d

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

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

Definition

Postulate

Theorem

Line Segment

a list of properties an object must have

a basic assumption

a statement that has been proven true

two points on a line and all points that lie between them

Definition

a list of properties an object must have

Postulate

a basic assumption

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

complementary angles

congruent angles

congruent complements theorem

congruent segments

two angles whose measures have a sum of 90 degrees

angles that have the same measure

if two angles are complementary to the same angle or to congr…

segments have the same length

complementary angles

two angles whose measures have a sum of 90 degrees

congruent angles

angles that have the same measure

Perpendicular Lines

Angle Bisector

Midpoint

Congruent Angles

two lines that intersect to form right angles

The ray that divides the angle into two congruent adjacent an…

The point that divides the segment into two congruent segments

Angles that have equal measure

Perpendicular Lines

two lines that intersect to form right angles

Angle Bisector

The ray that divides the angle into two congruent adjacent an…

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Point

Line

plane

opposite rays

has no dimension; named with capital letter

has one dimension; extends in opposite directions without end…

extends in two dimensions without end; can be named with a si…

two rays that extend in opposite directions and share the sam…

Point

has no dimension; named with capital letter

Line

has one dimension; extends in opposite directions without end…

Vertical Angles

Angle Bisector

Segment Bisector

Midpoint

Two angles whose sides form two pairs of opposite rays.

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

Anything that intersects a segment at its midpoint.

The point that divides or bisects a segment into two congruen…

Vertical Angles

Two angles whose sides form two pairs of opposite rays.

Angle Bisector

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

Segment Addition Postulate

Definition of Congruent Angles/Segments

Definition of a Midpoint

Definition of Bisector

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

Angles/Segments of Equal Length

Point that is the middle of two congruent segments

Line/segment/ray/plane that intersects the segment at its mid…

Segment Addition Postulate

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

Definition of Congruent Angles/Segments

Angles/Segments of Equal Length

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Postulate

Theorem

Converse

Angle Addition Postulate

A statement, also called an axiom, that is accepted to be tru…

A statement that can be proven from a postulate.

A statement formed by switching the hypothesis and conclusion…

If R is the interior of ∠PQS, then m∠PQR + m∠RQS = m∠PQS.

Postulate

A statement, also called an axiom, that is accepted to be tru…

Theorem

A statement that can be proven from a postulate.

Segment addition postulates

Midpoint definition

Midpoint theorem

Perpendicular lines

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

If a point is a midpoint, then it bisects a segment into 2 co…

If m is the midpoint of line segment AB, then AM = 1/2AB and…

If 2 lines form a right angle then the lines are perpendicula…

Segment addition postulates

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

Midpoint definition

If a point is a midpoint, then it bisects a segment into 2 co…