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Point

Line

Plane

Line Segment

A location in space that has no length, width, or depth.

Made up of an infinite number of points. Has infinite length,…

A flat surface that has infinite length and width, but no dep…

A part of a line between two points.

Point

A location in space that has no length, width, or depth.

Line

Made up of an infinite number of points. Has infinite length,…

Point

Line

Plane

Collinear

It is a location in space. (like the tip of a pencil or GPS l…

A straight, continuous arrangement of infinitely many points.…

Has length and width but no thickness. Contains at least thre…

Points that lie on the same line.

Point

It is a location in space. (like the tip of a pencil or GPS l…

Line

A straight, continuous arrangement of infinitely many points.…

line

point

ray

angle

a collection of points that form a straight path that goes on…

an exact location.

A part of a line, with one endpoint, that continues without e…

a figure formed by two rays with a common endpoint called the…

line

a collection of points that form a straight path that goes on…

point

an exact location.

Point

Line

Line Segment

Horizontal Line

An exact location

A figure determined by 2 points and extending in both directi…

2 points on a line and all the points between them

Line extending left and right

Point

An exact location

Line

A figure determined by 2 points and extending in both directi…

Inductive Reasoning

Conjecture

Counterexample

Nets

A method to predict an outcome, look for patterns and make pr…

Prediction

For statement to be true, it must be true in all cases. A sta…

An unfolded geometric solid, nets can look different as long…

Inductive Reasoning

A method to predict an outcome, look for patterns and make pr…

Conjecture

Prediction

set

element

compliment of a set

disjoint sets

A collection or group of objects.

An object that belongs to a set. Sometimes the word "member"…

The elements in the universe that are not in the set.

Sets that have no common elements

set

A collection or group of objects.

element

An object that belongs to a set. Sometimes the word "member"…

Altitude

Angle Bisector

Concurrent

Line

An altitude of a triangle is a line segment connecting a vert…

An angle bisector is a ray that cuts the angle exactly in hal…

When three or more lines meet at a single point, they are sai…

A line has only one dimension: length. It continues forever i…

Altitude

An altitude of a triangle is a line segment connecting a vert…

Angle Bisector

An angle bisector is a ray that cuts the angle exactly in hal…

Point

Line

Plane

Collinear

has no size, only location, zero dimensional named with capit…

A straight arrangement of infinitely many points. Has no thic…

A flat surface that extends infinitely. It has no length, wid…

points lying on the same line

Point

has no size, only location, zero dimensional named with capit…

Line

A straight arrangement of infinitely many points. Has no thic…

Define Congruent Figures

Define Corresponding Parts

Congruent Triangle Theorem

Define the reflexive property of congr…

Congruent figures have the same size... and shape. When figures…

Corresponding parts in a figure mean that the parts (angles o…

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

The reflexive property of congruence is used to prove congrue…

Define Congruent Figures

Congruent figures have the same size... and shape. When figures…

Define Corresponding Parts

Corresponding parts in a figure mean that the parts (angles o…

Point

Line

Ray

Line segment

Has no size... Example: Point P

Is an infinite number of points... Example: Line m or line AB

Starts with a point called an endpoint

Is part of a line with two endpoints

Point

Has no size... Example: Point P

Line

Is an infinite number of points... Example: Line m or line AB

Simple statements

Compound statements

Conjunction

Disjunction

statements that are either true or false

the joining of two or more simple statements

the joining of two simple statements with the word "and"

the joining of two simple statements with the word "or"

Simple statements

statements that are either true or false

Compound statements

the joining of two or more simple statements

Define Congruent Figures

Define Corresponding Parts

Congruent Triangle Theorem

Define the reflexive property of congr…

Congruent figures have the same size... and shape. When figures…

Corresponding parts in a figure mean that the parts (angles o…

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

The reflexive property of congruence is used to prove congrue…

Define Congruent Figures

Congruent figures have the same size... and shape. When figures…

Define Corresponding Parts

Corresponding parts in a figure mean that the parts (angles o…

Point

Line

Plane

Segment

An undefined term though of as a location with no size or dim…

An undefined term thought of as a straight, continuous arrang…

A flat surface that extends forever. It has infinite length a…

Two points and all the points between them that are collinear…

Point

An undefined term though of as a location with no size or dim…

Line

An undefined term thought of as a straight, continuous arrang…

The undefined terms in geometry are:

What is a plane?

If two letters are next to each other,…

Collinear points:

point, line, and plane

A flat surface that goes on forever

DISTANCE.

points on the same line

The undefined terms in geometry are:

point, line, and plane

What is a plane?

A flat surface that goes on forever

undefined term

point

line

plane

a point, line, or plane because they can only be explained us…

Location in space, it has no size

A collection of an infinite number of points in a straight pa…

a flat surface that extends forever

undefined term

a point, line, or plane because they can only be explained us…

point

Location in space, it has no size

Complementary angles:

Ex: 30 degrees and 60 degrees are comp…

Ex: The complement of 25 degrees is..

Supplementary angles:

Two angles are complementary if the sum of their measures is…

the complement of the other.

65 degrees

Two angles are supplementary if the sum of their measures is…

Complementary angles:

Two angles are complementary if the sum of their measures is…

Ex: 30 degrees and 60 degrees are comp…

the complement of the other.

Rigid Motion

Pre-image

Image

Reflection

Transformation that preserves lengths of segments and measure…

Prior to Transformation

Post Transformation

"Flip" transformation on line of reflection. Each point of Pr…

Rigid Motion

Transformation that preserves lengths of segments and measure…

Pre-image

Prior to Transformation

Circle

Center

Radius(radii)

All radii of a circle

A set of Coplanear points equidistant from a given point

The given point

A segment starting at the center of a circle and ending on th…

Are congruent

Circle

A set of Coplanear points equidistant from a given point

Center

The given point

Reflection

Composition

Image

Isometry

A transformation that creates a mirror image of a shape

The combining of transformations to create a whole new transf…

The object/figure AFTER a transformation.

A transformation that leaves an object congruent/identical (i…

Reflection

A transformation that creates a mirror image of a shape

Composition

The combining of transformations to create a whole new transf…

line

plane

point

collinear

a straight path that extends without end in opposite directions

A flat surface that goes on forever in all directions

an exact location in space

points on the same line

line

a straight path that extends without end in opposite directions

plane

A flat surface that goes on forever in all directions

Geometry

point

line

plane

the study of points, lines, angles, surfaces, and solids

A location in space represented by a dot

a set of many points that extends in opposite directions with…

a two dimensional flat surface

Geometry

the study of points, lines, angles, surfaces, and solids

point

A location in space represented by a dot

Gradient properties

The Gradient properties

Horizontal lines

Vertical lines

There are 6 gradient properties

- Horizontal lines... - Vertical lines... - Forward sloping lines... -…

Gradient of zero

Undefined gradient

Gradient properties

There are 6 gradient properties

The Gradient properties

- Horizontal lines... - Vertical lines... - Forward sloping lines... -…

Angle Bisector

Complementary

Supplementary

Angle Addition Postulate

...

must add to equal 90 degrees

must add to equal 180 degrees (usually a straight line)

the two smaller angles must add up to equal the larger angle

Angle Bisector

...

Complementary

must add to equal 90 degrees

Point

Line

Collinear

Plane

A location that has neither width nor length

An infinite set of points that extend infinitely in both dire…

Points of the same line

A flat surface made up of points that extend infinitely in al…

Point

A location that has neither width nor length

Line

An infinite set of points that extend infinitely in both dire…

Parallel

Skew

Transversal

Alternate Interior Angles

Lines that do not intersect that are in the same plane.

Lines that do not intersect that are not in the same plane.

Line that intersects 2 other lines at different points. They…

interior angles on alternate sides of the transversal that ar…

Parallel

Lines that do not intersect that are in the same plane.

Skew

Lines that do not intersect that are not in the same plane.

undefined term

point

line

plane

a point, line, or plane because they can only be explained us…

Location in space, it has no size

A collection of an infinite number of points in a straight pa…

a flat surface that extends forever

undefined term

a point, line, or plane because they can only be explained us…

point

Location in space, it has no size

point

line

line segment

ray

a location in space

straight pat of points that continues infinitely in both dire…

A part of a line with two endpoints

A part of a line that starts at one endpoint and extends fore…

point

a location in space

line

straight pat of points that continues infinitely in both dire…

Angle

Vertical Angles

Corresponding Angles

Complementary Angles

Two different rays with a common endpoint.

Non adjacent angles formed by two intersecting lines.

Non adjacent angles on the same side of the transversal: one…

Any two angles, the sum of whose measure is equal to 90 degre…

Angle

Two different rays with a common endpoint.

Vertical Angles

Non adjacent angles formed by two intersecting lines.

adjacent arcs

arc

arc length

center

arcs of the same circle that have exactly one point in common

a part of a circle that is defined by two endpoints

the distance along an arc measured in linear units

a point that is equal distance from all edges of a circle

adjacent arcs

arcs of the same circle that have exactly one point in common

arc

a part of a circle that is defined by two endpoints

Conjunction

Disjunction

Conditionals

Truth Tables

joining of simple statements with the word "and" ... "p△q"

joining of s.s. with the word "or" ... "p▽q"

joining of 2 s.s. with the words "if"... "then"... ... "p→q"... "p…

Uses to tell under what conditions a compound statment is tru…

Conjunction

joining of simple statements with the word "and" ... "p△q"

Disjunction

joining of s.s. with the word "or" ... "p▽q"

Parallel lines

Perpendicular lines

Skew lines

Acute angle

Lie on the same plane

Two lines that intersect at a right angle

Lines that do not lie on the same plane

Measures less than 90° but more than 0°

Parallel lines

Lie on the same plane

Perpendicular lines

Two lines that intersect at a right angle

algebraic proof

axiom

conclusion

conditional statement

a proof made up of a series of algebraic statements

self-evident truth requiring no proof

in a conditional statement is the phrase immediately followin…

a statement that can be written in if-then form.

algebraic proof

a proof made up of a series of algebraic statements

axiom

self-evident truth requiring no proof

Point

Line

Plane

Collinear points

Indicates a location and has no size.

A straight path that extends in two opposite directions witho…

A flat surface that extends without end and has no thickness.…

Points that lie on the same plane.

Point

Indicates a location and has no size.

Line

A straight path that extends in two opposite directions witho…

Point

Line

Line Segment

Plane

Indicates a position or location in space

A collection of points going endlessly in both directions

Part of a line with TWO endpoints

A flat surface going endlessly in all directions

Point

Indicates a position or location in space

Line

A collection of points going endlessly in both directions

Reflection

Composition

Image

Isometry

A transformation that creates a mirror image of a shape

The combining of transformations to create a whole new transf…

The object/figure AFTER a transformation.

A transformation that leaves an object congruent/identical (i…

Reflection

A transformation that creates a mirror image of a shape

Composition

The combining of transformations to create a whole new transf…

Reflection

Composition

Image

Isometry

A transformation that creates a mirror image of a shape

The combining of transformations to create a whole new transf…

The object/figure AFTER a transformation.

A transformation that leaves an object congruent/identical (i…

Reflection

A transformation that creates a mirror image of a shape

Composition

The combining of transformations to create a whole new transf…

Parallel Lines

Perpendicular Lines

Transversal line

Alternative Interior angles

Two lines that never touch

Two lines that intersect to make 90 degree angles

A line that passes through two lines in the same plane

Parallel Lines

Two lines that never touch

Perpendicular Lines

Two lines that intersect to make 90 degree angles

Line AB

collinear points

plane

coplanar

2 or more points joined with no thickness or width that exten…

points that lie on the same line

flat 2 dimensional surface that extends indefinitely in all d…

objects that lie on the same plane

Line AB

2 or more points joined with no thickness or width that exten…

collinear points

points that lie on the same line

geometry

point

plane

collinear points

A major branch of mathematics that deals with shapes, sizes,…

Has no size, length, width, or height. It is represented by a…

Set of points that has infinite length and width but no heigh…

Points that lie on the same line

geometry

A major branch of mathematics that deals with shapes, sizes,…

point

Has no size, length, width, or height. It is represented by a…

Point

Line

Plane

Segment

A point has no dimension. It is represented by a small dot.

A line has one dimension. It extends without end in two direc…

A plane has two dimensions. Is is represented by a shape that…

Part of a line that consists of two points, called endpoints,…

Point

A point has no dimension. It is represented by a small dot.

Line

A line has one dimension. It extends without end in two direc…

Point

Line

Plane

Line Segment

A location in space that has no length, width, or depth.

Made up of an infinite number of points. Has infinite length,…

A flat surface that has infinite length and width, but no dep…

A part of a line between two points.

Point

A location in space that has no length, width, or depth.

Line

Made up of an infinite number of points. Has infinite length,…

vertex

adjacent angles

linear pair

vertical angles

the Endpoint where the rays join in an angle

Angles that have a common side and a common vertex (corner po…

A pair of adjacent angles whose non-common sides are opposite…

A pair of opposite congruent angles formed by intersecting li…

vertex

the Endpoint where the rays join in an angle

adjacent angles

Angles that have a common side and a common vertex (corner po…

Point

Line

Plane

Three undefined terms in geometry

A location, represented by a dot

straight one-dimensional figure having no thickness and exten…

a flat, two-dimensional surface that extends infinitely far

point, line, plane

Point

A location, represented by a dot

Line

straight one-dimensional figure having no thickness and exten…