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Point

Line

Opposite rays

Line segment

A location. No length or width. Point P or P(3,4)

Only one dimension, continues forever. Notation with 2 arrows…

Two collinear Rays with the same endpoint, form a line. Notat…

Portion of a line strictly between two points. Just line over…

Point

A location. No length or width. Point P or P(3,4)

Line

Only one dimension, continues forever. Notation with 2 arrows…

postulate 1-1 (line)

postulate 1-2 (intersecting lines)

postulate 1-3 (intersecting planes)

postulate 1-4 (plane)

through any two points there is exactly one line.

if two distinct lines intersect, then they intersect in exact…

if two distinct planes intersect, then they intersect in exac…

through any three noncollinear points there is exactly one pl…

postulate 1-1 (line)

through any two points there is exactly one line.

postulate 1-2 (intersecting lines)

if two distinct lines intersect, then they intersect in exact…

concurrent

point of concurrency

concurrency of perpendicular bisectors

circumcenter of a triangle

three or more lines intersect

where concurrent lines meet

the perpendicular bisectors of the sides of a triangle are co…

point of concurrency of the PERPENDICULAR BISECTORS of a tria…

concurrent

three or more lines intersect

point of concurrency

where concurrent lines meet

Midsegment theorem

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector theorem

The segment connecting the midpoints of two sides of a triang…

In a plane, if a point is on the perpendicular bisector of a…

In a plane, if a point is equidistant from the endpoints of a…

If a point is on the Bisector of an angle, the it is equidist…

Midsegment theorem

The segment connecting the midpoints of two sides of a triang…

Perpendicular Bisector Theorem

In a plane, if a point is on the perpendicular bisector of a…

a conditional and it's

a converse and

Law of Detatchment

Law of Syllogism

contrapositive are logically equivalent

inverse of a conditional are logically equivalent

if p -->q is true and p is true, then q is true

q=p p=r q=r

a conditional and it's

contrapositive are logically equivalent

a converse and

inverse of a conditional are logically equivalent

opposite sides are parallel

all sides are congruent

all angles are congruent right angles

diagonals bisect eachother

parrallelogram,rectangle,square,rhombus

square rectangle rhombus

square rectangle

all

opposite sides are parallel

parrallelogram,rectangle,square,rhombus

all sides are congruent

square rectangle rhombus

concurrent

equidistant

point of concurrency

circumcenter

three or more lines, rays, or segments intersect in the same…

a point is ________ from two figures when the point is the sa…

the point of intersection of the lines, rays, or segments

the three perpendicular bisectorn are concurrent, the point o…

concurrent

three or more lines, rays, or segments intersect in the same…

equidistant

a point is ________ from two figures when the point is the sa…

Line Segment

Vertex (Verticies)

Line

Point

This is partof a line. It has two endpoints and includes all…

The endpoint created where to rays or line segments meet.

A collection of points that goes on and on infinitely in both…

A location in space with no length, width, or height

Line Segment

This is partof a line. It has two endpoints and includes all…

Vertex (Verticies)

The endpoint created where to rays or line segments meet.

opposite sides are parallel (both pairs)

all sides are congruent

all angles are congruent right angles

diagonals bisect each other

parallelogram, rectangle, rhombus, square

rhombus, square

rectangle, square

parallelogram, rectangle, rhombus, square

opposite sides are parallel (both pairs)

parallelogram, rectangle, rhombus, square

all sides are congruent

rhombus, square

AAS (angle-angle-side)

ASA (angle-side-angle)

SSA (side-side-angle)

AA (angle-angle-angle)

2 angles are congruent and 1 side length is the same

2 angles are congruent and 1 side is the same (side must be p…

2 sides have the same ratio and 1 angle is congruent

When 2 angles are congruent (must be marked)

AAS (angle-angle-side)

2 angles are congruent and 1 side length is the same

ASA (angle-side-angle)

2 angles are congruent and 1 side is the same (side must be p…

Postulate 1

Postulate 2

Postulate 3

Postulate 4

To draw a straight line from any point to any point

To produce a finite straight line from any point to any point.

To describe a circle with any center and radius.

That all right angles equal one another.

Postulate 1

To draw a straight line from any point to any point

Postulate 2

To produce a finite straight line from any point to any point.

Explain the term "Colinear Points"

Explain the term "Point"

Explain the term "Space"

Explain the term "Line"

Colinear point is points who lies on the same line.

A point is data in a scatter plot

Space is defined as the set of all points

A line is a series of points that extends in two opposite dir…

Explain the term "Colinear Points"

Colinear point is points who lies on the same line.

Explain the term "Point"

A point is data in a scatter plot

Complementary... Angles

Supplementary... Angles

Theorem

Vertical Angles

Two angles whose measures... have a sum of 90 degrees

Two angles whose measures... have a sum of 180 degrees

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 degrees

Supplementary... Angles

Two angles whose measures... have a sum of 180 degrees

linear pair postulate

parallel postulate

perpendicular postulate

asa congruence postulate

linear pairs are supplememtary and add to 180 degrees

if there is a line and point not on the line one parallel lin…

if there is a line and a point not on the line one perpendicu…

if there are two congruent angles and an included side then t…

linear pair postulate

linear pairs are supplememtary and add to 180 degrees

parallel postulate

if there is a line and point not on the line one parallel lin…

Acute Angle

Acute Triangle

Adjacent Angles

Degree

Angle less than 90 degrees

A triangle with all angles less than 90 degrees

Two angles with a shared vertex and side

A unit of measurement for angles

Acute Angle

Angle less than 90 degrees

Acute Triangle

A triangle with all angles less than 90 degrees

Net

Collinear

Coplaner

Opposite Rays

A net is the shape that is formed by unfolding a three-dimens…

Three or more points are said to be collinear if they lie on…

Coplanar points are three or more points which lie in the sam…

Opposite math rays are rays with a common endpoint, extending…

Net

A net is the shape that is formed by unfolding a three-dimens…

Collinear

Three or more points are said to be collinear if they lie on…

Point

Line

Ray

Segment

A location with no size. Named with a capital letter.

A series of points that extend in opposite directions without…

A part of a line with one endpoint, and all the points are on…

Part of a line with two endpoints, and all of the points betw…

Point

A location with no size. Named with a capital letter.

Line

A series of points that extend in opposite directions without…

centroid

median

incenter

circumcenter

the center if gravity in a triangle

the center point of a line

point in the triangle that allows a circle to be drawn and to…

the point in the triangle that allows a circle to be drawn an…

centroid

the center if gravity in a triangle

median

the center point of a line

Tessellation

Polygon

Triangle

Quadrilateral

A repeating pattern of plane figures that completely cover a…

A closed figure formed by three or more line segments

A three-sided polygon

A four-sided polygon

Tessellation

A repeating pattern of plane figures that completely cover a…

Polygon

A closed figure formed by three or more line segments

Definition of a Line

Intersection of Lines

Intersection of Planes

Definition of a Plane

Through any two points there is exactly one line

If two distinct lines intersect, then they intersect in exact…

If two distinct planes intersect, then they intersect in exac…

Through any three noncollinear points there is exactly one pl…

Definition of a Line

Through any two points there is exactly one line

Intersection of Lines

If two distinct lines intersect, then they intersect in exact…

Polygon

Regular Polygon

Concave

Convex

figure that all sides have a common endpoint to each side int…

all sides and angles are congruent

a line containing a side of polygon and contains a point in t…

a polygon with no line on both sides and a point in the inter…

Polygon

figure that all sides have a common endpoint to each side int…

Regular Polygon

all sides and angles are congruent

Supplementary Angles

Interior of an Angle

Exterior of an Angle

Vertical Angles

Two angles whose measures have a sum of 180 degrees

The set of all points between the sides of an angle

The set of all points outside an angle

The non adjacent angles formed by two intersecting lines

Supplementary Angles

Two angles whose measures have a sum of 180 degrees

Interior of an Angle

The set of all points between the sides of an angle

Point

Collinear

Endpoint

Coordinate

A line is defined as a line of points that extend infinitely…

A line on which points lie, especially if it is related to a…

End points mark the beginning or end of a line segment or Ray…

A coordinate is a number in an orderd pair that names the loc…

Point

A line is defined as a line of points that extend infinitely…

Collinear

A line on which points lie, especially if it is related to a…

Perpendicular Bisector Theorem

Converse of Perpendicular Bisector The…

Angle Bisector Theorem

Centroid Theorem

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

Converse of the Perpendicular Bisector Theorem: If a point is…

An angle bisector of an angle of a triangle divides the oppos…

The centroid of a triangle is the point where the three media…

Perpendicular Bisector Theorem

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

Converse of Perpendicular Bisector The…

Converse of the Perpendicular Bisector Theorem: If a point is…

Parallel lines

Skew lines

Corresponding angles

Perpendicular lines

Coplaner lines that do not intersect

Noncoplaner; they are not parallel and do not intersect

Angles in the same position

Intersecting

Parallel lines

Coplaner lines that do not intersect

Skew lines

Noncoplaner; they are not parallel and do not intersect

congruent angles

congruent segments

angle bisector

complementary angles

if two angles have the same degree of measure, then they are…

if two segments have the same length, then they are conguent

If a ray bisects an angle, then it divides then angle into tw…

if two angles are complementary angles, then the sum of their…

congruent angles

if two angles have the same degree of measure, then they are…

congruent segments

if two segments have the same length, then they are conguent

definition of midpoint of a segment

definition of supplementary angles

definition of complementary angles

definition of congruent angles

G: line segment... P: the point that divides the segment into 2…

G: m<3+m<4=180*... P: <3 supp <4

G: m<1+m<2=90*... P: <1 comp <2

G: m<1 = m<2... P: m<1 is congruent to m<2

definition of midpoint of a segment

G: line segment... P: the point that divides the segment into 2…

definition of supplementary angles

G: m<3+m<4=180*... P: <3 supp <4

Equal

Congruent

Angle Bisector

Perpendicular lines

For measurement (numbers) (side lengths).

"The same" comparing shapes, angles and sides (not side lengt…

A ray that divides an angle into 2 congruent angles. The ray…

Perpendicular lines cross creating a 90 degree angle.

Equal

For measurement (numbers) (side lengths).

Congruent

"The same" comparing shapes, angles and sides (not side lengt…

Plane

Linear Pair

Supplementary

Complimentary

A flat surface that extends without an end

Two adjacent angles that make a line (always supplementary)

Two angles that add up to 180

Two angles that add up to 90

Plane

A flat surface that extends without an end

Linear Pair

Two adjacent angles that make a line (always supplementary)

Linear Pair

Vertical Angles

Perimeter

Regular Polygon

A pair of adjacent angles with non-common sides.

Two intersecting lines that are nonadjacent angles.

The sides of a polygon.

All the sides and angles are congruent.

Linear Pair

A pair of adjacent angles with non-common sides.

Vertical Angles

Two intersecting lines that are nonadjacent angles.

Point

Line

Plane

Collinear

An exact location. It has no size, only position.

Straight (no curves), has no thickness, and extends in both d…

In mathematics, a plane is a flat, two-dimensional surface th…

When three or more points lie on a straight line.... Two points…

Point

An exact location. It has no size, only position.

Line

Straight (no curves), has no thickness, and extends in both d…

Volume

Vertex

Tree Diagram

Theoretical Probability

the amount of space that a substance or object occupies, or t…

each angular point of a polygon, polyhedron, or other figure;…

all possible outcomes of a number or solution, in the form of…

the number of ways that the event can occur, divided by the t…

Volume

the amount of space that a substance or object occupies, or t…

Vertex

each angular point of a polygon, polyhedron, or other figure;…

parallel lines

Skew Lines

Parallel planes

Transversal

When two lines do not intersect and are coplaner

When two lines do not intersect and are not coplaner

Two planes that do not intersect

is a line that intersects two or more coplaner lines at diffe…

parallel lines

When two lines do not intersect and are coplaner

Skew Lines

When two lines do not intersect and are not coplaner

linear pair

supplementary angles

right triangle

acute triangle

adjacent angles whos non-common sides are opposite rays

two angles whose measures add to 180

a triangle with a right angle

a triangle with all acute sides

linear pair

adjacent angles whos non-common sides are opposite rays

supplementary angles

two angles whose measures add to 180

Angle

Side

Vertex

Acute angle

the figure formed by two rays, called the sides of the angle,…

one of the surfaces forming the outside of or bounding a thin…

the highest point of something; apex; summit; top.The point f…

An angle whose measure is between 0° and 90°.

Angle

the figure formed by two rays, called the sides of the angle,…

Side

one of the surfaces forming the outside of or bounding a thin…

Central Angle

Major Arc

minor arc

semicircle

angle with its vertex at the center

measure of a major arc is 360 minus the minor arc, the major…

minor arc is defined by the measure of its central angle

measure of a semicircle is 180, use three letters to describe

Central Angle

angle with its vertex at the center

Major Arc

measure of a major arc is 360 minus the minor arc, the major…

angle

vertex

sides of an angle

interior of an angle

A figure formed by two rays with a common endpoint

A point where two or more straight lines meet.

the two noncollinear rays that make up an angle

the set of all points between the sides of the angle

angle

A figure formed by two rays with a common endpoint

vertex

A point where two or more straight lines meet.

Face

Edge

Vertex

Bases

polygons that enclose a three dimensional figure

a line segment formed by the intersection of two faces

a point where three or more edges meet

the parallel faces!

Face

polygons that enclose a three dimensional figure

Edge

a line segment formed by the intersection of two faces

Acute Angle

Obtuse Angle

Right Angle

Equilateral Triangle

An angle that measures greater than 0 degrees and less than 9…

An angle whose measure is greater than 90 degrees but less th…

An angle that measures 90 degrees

A triangle with three congruent sides

Acute Angle

An angle that measures greater than 0 degrees and less than 9…

Obtuse Angle

An angle whose measure is greater than 90 degrees but less th…