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Point

Line

Plane

Collinear

Undefined. No size, thickness, represents location, all other…

Undefined term. No thickness, goes on forever in opposite dir…

Undefined term. No thickness. Flat surface that extends infin…

points all in one line

Point

Undefined. No size, thickness, represents location, all other…

Line

Undefined term. No thickness, goes on forever in opposite dir…

Segment Addition Postulate

Protractor Postulate

An angle can be named in 4 ways

Angle Addition Postulate

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

To find the measure in degrees of an angle, compute the absol…

For example : <abc ... 1. <1( if it has a number label)... 2. <b... 3.…

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

Segment Addition Postulate

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

Protractor Postulate

To find the measure in degrees of an angle, compute the absol…

acute angle

adjacent angle

angle

angle bisector

an angle that has a measure greater than 0 but less than 90 d…

angles that are next to each other. they share one ray and th…

a set of points consisting of two different rays that have th…

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

acute angle

an angle that has a measure greater than 0 but less than 90 d…

adjacent angle

angles that are next to each other. they share one ray and th…

Point

Line

Plane

Euclid

Names location, has no dimensions (0 dimensional)

Straight path that goes forever in both directions, has no wi…

Flat surface that extends forever, has no thickness (2 dimens…

Father of geometry

Point

Names location, has no dimensions (0 dimensional)

Line

Straight path that goes forever in both directions, has no wi…

Lesson 1-1 Points,Lines,Planes

Line

Plane

Collinear Points

...

Made up of points and has no thickness or width.There is exac…

A flat surface made up of points that extends infinitely in a…

Points that lie on the same line

Lesson 1-1 Points,Lines,Planes

...

Line

Made up of points and has no thickness or width.There is exac…

undefined terms

point

line

plane

no formal definitions

no dimension and is represented by a dot

one dimension. represented by a line with two arrowheads, but…

has two dimensions, represented by a shape that looks like a…

undefined terms

no formal definitions

point

no dimension and is represented by a dot

Point

Line

Plane

Collinear

Undefined. No size, thickness, represents location, all other…

Undefined term. No thickness, goes on forever in opposite dir…

Undefined term. No thickness. Flat surface that extends infin…

points all in one line

Point

Undefined. No size, thickness, represents location, all other…

Line

Undefined term. No thickness, goes on forever in opposite dir…

Point

Line

Plane

Collinear

Undefined. No size, thickness, represents location, all other…

Undefined term. No thickness, goes on forever in opposite dir…

Undefined term. No thickness. Flat surface that extends infin…

points all in one line

Point

Undefined. No size, thickness, represents location, all other…

Line

Undefined term. No thickness, goes on forever in opposite dir…

equidistant

point

line

plane

equal or same distance

simplest term in geometry... distinct spot of identification

infinite number of points. Continues indefinitely in both dir…

extends without ending and has no thickness

equidistant

equal or same distance

point

simplest term in geometry... distinct spot of identification

equidistant

point

line

collinear

-when items are the same distance from something

-an exact location in space

-string of points extending straight infinitely in both direc…

-points that lie on the same line, any two points

equidistant

-when items are the same distance from something

point

-an exact location in space

undefined term

point

line

plane

words that do not have formal definitions but there is an agr…

has no dimension, represented by a dot

has one dimension, represented by a line with two arrowheads…

has two dimensions, represented by a shape that looks like a…

undefined term

words that do not have formal definitions but there is an agr…

point

has no dimension, represented by a dot

Point

Line

Plane

Collinear Points

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

A line has one dimension. It is represented by a line with tw…

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

Collinear points are points that lie on the same line.

Point

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

Line

A line has one dimension. It is represented by a line with tw…

point

line

line

plane

a location/ has neither shape or size

made up of points and has no thickness or width

there is exactly one through any two points

a flat surface made up of points that extends infinitely in a…

point

a location/ has neither shape or size

line

made up of points and has no thickness or width

Undefined Terms

Point

Line

Plane

See point, line, plane

Location in space (No dimension)

A set of points with one dimension(length). Infinite in two d…

A set of points with two dimensions (length and width). Exten…

Undefined Terms

See point, line, plane

Point

Location in space (No dimension)

Undefined term

Point

Line

Plane

basic idea that you can use to build definition of all other…

indicates a location... has no size

represented by a straight path that extends in two opposite d…

represented by a flat surface that extends without end. conta…

Undefined term

basic idea that you can use to build definition of all other…

Point

indicates a location... has no size

Point

Line

Space

undefined terms

an infinitely small location in space

an infinite set of points in a plane that extends infinitely…

the set of all points in three dimensions.

used in definitons of other terms---examples: point, line, an…

Point

an infinitely small location in space

Line

an infinite set of points in a plane that extends infinitely…

Postulate 1

Postulate 2

Postulate 3

Postulate 4

A line, a plane, and space each contain an infinite number of…

For every 2 points, there exists unique only one line that co…

For every 3 noncollinear points, there exists unique only one…

If 2 points are in a plane, then the line containing them is…

Postulate 1

A line, a plane, and space each contain an infinite number of…

Postulate 2

For every 2 points, there exists unique only one line that co…

Undefined Terms

Angle

Acute Angle

Euclid

point, line, plane

the union of two rays with a common endpoint

An angle whose measure is less than 90º

The father of Geometry, wrote "The Elements"

Undefined Terms

point, line, plane

Angle

the union of two rays with a common endpoint

point

line

plane

space

exact location in space, has no dimension (no length of width…

a set of points that extend without end in 2 directions, has…

a set of points that extends without end (no edges), has 2 di…

the set of all points

point

exact location in space, has no dimension (no length of width…

line

a set of points that extend without end in 2 directions, has…

point

line

plane

collinear

has one location, named with capital letter, a dot

straight continuous line that can have infinitely many points…

has length, width, and no thickness, extends infinitely, four…

has 3+ points on a line

point

has one location, named with capital letter, a dot

line

straight continuous line that can have infinitely many points…

Points

Line

Collinear points

Plane

-show location... -no size or shape... -they are named with a print…

-made up of 2 or more points... -shows direction... -it has no thic…

-points that lie on the same plane (Noncollinear means they d…

-a flat surface made up of points extending infinitely in all…

Points

-show location... -no size or shape... -they are named with a print…

Line

-made up of 2 or more points... -shows direction... -it has no thic…

Point

Line

Plane

Collinear

Undefined. No size, thickness, represents location, all other…

Undefined term. No thickness, goes on forever in opposite dir…

Undefined term. No thickness. Flat surface that extends infin…

points all in one line

Point

Undefined. No size, thickness, represents location, all other…

Line

Undefined term. No thickness, goes on forever in opposite dir…

Point

Line

Plane

Collinear

Undefined. No size, thickness, represents location, all other…

Undefined term. No thickness, goes on forever in opposite dir…

Undefined term. No thickness. Flat surface that extends infin…

points all in one line

Point

Undefined. No size, thickness, represents location, all other…

Line

Undefined term. No thickness, goes on forever in opposite dir…

Undefined Terms

Point

Line

Plane

Point, line, and plane are considered ____________ because th…

Is a location; it has neither shape nor size.

Is made up of points and has no thickness or width. there is…

Is a flat surface made up of points that extends infinitely i…

Undefined Terms

Point, line, and plane are considered ____________ because th…

Point

Is a location; it has neither shape nor size.

<

Parallel

ll

congruent

Marks you put on the diagram that represent parallel symbols

two lines that are in the same plane, but they don't... cross

Symbol you put in between two lines to indicate they're paral…

Two angles are ____ if and only if they have equal measure

<

Marks you put on the diagram that represent parallel symbols

Parallel

two lines that are in the same plane, but they don't... cross

Undefined terms

Point

Line

Plane

Does not have a formal definition

No dimension, it's represented by a dot

One dimension, represented by a line with two arrowheads, exp…

Two dimensions, represented by a shape that looks like a floo…

Undefined terms

Does not have a formal definition

Point

No dimension, it's represented by a dot

Point

Line

Plane

Segment

A point has no dimension. A dot represents a point.

A line has one dimension. It is represented by line with two…

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

The line segment AB or segment AB consists of the endpoints A…

Point

A point has no dimension. A dot represents a point.

Line

A line has one dimension. It is represented by line with two…

3 undefined terms of geometry

point

line

plane

point, line, plane

no size (only location), represented with dot, named with cap…

straight, continuous arrangement of infinitely many points, e…

length and width but no thickness, flat surface that extends…

3 undefined terms of geometry

point, line, plane

point

no size (only location), represented with dot, named with cap…

Adjacent angles

Vertical angles

Complementary angles

Supplementary angles

Are two coplanar angles with a common side, a common vertex,…

Are two angles whose sides are opposite rays

Are two angles whose measures have a sum of 90 degrees

Are two angles whose measures have sum of 180 degrees

Adjacent angles

Are two coplanar angles with a common side, a common vertex,…

Vertical angles

Are two angles whose sides are opposite rays

Point

Line

Plane

Space

It's zero demensional. There is no length, widt, or heigh.

It is one dimensional. The only dimension it has is length.…

It is two dimensional. The dimensions it has are length and w…

It is three dimensional. The dimensions it had are length, wi…

Point

It's zero demensional. There is no length, widt, or heigh.

Line

It is one dimensional. The only dimension it has is length.…

Inductive reasoning

Undefined terms

Dimension

Point

Where we look at specifics and make a general argument

Point, line, plane

How many mutually perpendicular directions of movement are po…

No size, no dimension, has only location, represented by a dot

Inductive reasoning

Where we look at specifics and make a general argument

Undefined terms

Point, line, plane

Line

Number line

Line segment

Ray

Made up of points, straight, have arrows on both ends signfiy…

Formed when a numerical value is assigned to each point on a…

Made up of points, straight, has a definite beginning and end

Made up of points, straight, begins at an endpoint and extend…

Line

Made up of points, straight, have arrows on both ends signfiy…

Number line

Formed when a numerical value is assigned to each point on a…

Point

Line

Plane

Coplanar

A location with no size or shape.

Consists of points but it has no thickness or width.

A flat surface that is made up of points which extends indefi…

Together on the same plane.

Point

A location with no size or shape.

Line

Consists of points but it has no thickness or width.

what are the tree building blocks of g…

what is a point

what is a line

how do you name a point

line, point, plane

the most basic building block of geometry. it has no size. it…

a straight, continuous arrangement of infinitely many points.…

with a capital letter

what are the tree building blocks of g…

line, point, plane

what is a point

the most basic building block of geometry. it has no size. it…

point

line

plane

collinear points

no dimension; represented by a dot

one dimension; represented by a line with two arrowheads; ext…

two dimensions; a rectangular shape; extends in all directions

points that lie on the same line

point

no dimension; represented by a dot

line

one dimension; represented by a line with two arrowheads; ext…

point

line

plane

collinear points

one of the undefined terms in geometry. A point is a location…

one of the undefined terms in geometry. a line is made up of…

one of the undefined terms in geometry. a plane is a flat sur…

points that lie on the same line

point

one of the undefined terms in geometry. A point is a location…

line

one of the undefined terms in geometry. a line is made up of…

Point

Line

Plane

Collinear points

A location with no shape or size and is named by a capital pr…

Made up of points and has no thickness or width, infinite. Na…

A flat surface made up of points, infinite. Named by a cursiv…

Points that lie on the same line

Point

A location with no shape or size and is named by a capital pr…

Line

Made up of points and has no thickness or width, infinite. Na…

Point

Line

Plane

Collinear

Describes an exact location in space and has no size

Infinite set of points extending in two directions (one dimen…

Describes a flat surface extending without end in two dimensi…

Points that lie on the same line

Point

Describes an exact location in space and has no size

Line

Infinite set of points extending in two directions (one dimen…

opposite rays

What do we know about points and their…

What do we know about non collinear po…

True or false: Two planes intersect in…

two rays that have a common endpoint and form a line

Through any two points there is exactly one line

Through any three non collinear points there is exactly one p…

False: planes never end

opposite rays

two rays that have a common endpoint and form a line

What do we know about points and their…

Through any two points there is exactly one line

Points, Lines and Planes

Space

Coplanar

Points

Name 3 Undefined Terms

Set of all points

Points are __________ if and only if they lie in the same plane

______________ are represented by a dot but in geometry do no…

Points, Lines and Planes

Name 3 Undefined Terms

Space

Set of all points