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Building Blocks of Geometry

Point

Line

Line Segment

The three building blocks of geometry are planes, points, and…

A position in space. To represent points, we use an uppercase…

An infinite amount of points, placed very close together to c…

A part of a line that has 2 end points. to represent a line s…

Building Blocks of Geometry

The three building blocks of geometry are planes, points, and…

Point

A position in space. To represent points, we use an uppercase…

net

isometric drawing

point

line

2D diagram thqat you can fold to form a 3D figure

corner view of a 3D figure

indicates location and has no size

a straight path that extends in two opposite directions witho…

net

2D diagram thqat you can fold to form a 3D figure

isometric drawing

corner view of a 3D figure

plane

Collinear points

coplanar points

opposite rays

three points that are not all on the same line that has two d…

points that lie on the same line

points that lie in the same plane

Two rays with a common endpoint that point in opposite direct…

plane

three points that are not all on the same line that has two d…

Collinear points

points that lie on the same line

Acute angle

adjacent angle

angle

angle bisector

an angle with a degree measure less than 90

two angles that lie in the same plane, have a common vertex a…

the intersection of 2 noncollinear rays at a common endpoint.…

a ray that divides an angle into two congruent angles

Acute angle

an angle with a degree measure less than 90

adjacent angle

two angles that lie in the same plane, have a common vertex a…

Point

Line

Plane

Collinear

A point names a location and has no size. It is represented b…

A line is a straight path that has no thickness and extends f…

A plane is a flat surface that has no thickness and extends f…

Points that lie on the same line.

Point

A point names a location and has no size. It is represented b…

Line

A line is a straight path that has no thickness and extends f…

Point

Line

Plane

Collinear

A point names a location and has no size. It is represented b…

A line is a straight path that has no thickness and extends f…

A plane is a flat surface that has no thickness and extends f…

Points that lie on the same line.

Point

A point names a location and has no size. It is represented b…

Line

A line is a straight path that has no thickness and extends f…

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

bearings

conjecture

inductive reasoning

counterexample

Runways are named based on the angles they form with due nort…

is an unproven statement that is based on a pattern or observ…

Looking for patterns and making conjectures

is an example that shows a conjecture is false.

bearings

Runways are named based on the angles they form with due nort…

conjecture

is an unproven statement that is based on a pattern or observ…

segment

ray

plane

line

Part of a line consisting of two points and all the points be…

The part of a line that starts at an end point and extends fo…

Flat surface that has no thickness and extends forever.

Straight path that has no thickness and extends forever.

segment

Part of a line consisting of two points and all the points be…

ray

The part of a line that starts at an end point and extends fo…

point

line

line segment

plane

the most basic building block in geometry

a straight, continuous (infinite) arrangement of points

a part of a line that has two ends called endpoints

a flat surface that has length and width but no depth

point

the most basic building block in geometry

line

a straight, continuous (infinite) arrangement of points

acute angle

adjacent angles

angle

angle bisector

An angle that measures greater than 0 and less than 90 degrees.

Two angles in the same plane with a common vertex and a commo…

A figure formed by two rays with a common endpoint.

A ray that divides an angle into two congruent angles.

acute angle

An angle that measures greater than 0 and less than 90 degrees.

adjacent angles

Two angles in the same plane with a common vertex and a commo…

between

congruent segments

construction

undefined term

in the middle, but not necessarily half way

Segments that have the same length (same size and shape)

to use tools to draw an object that is more precise

a word without a formal definition: point, line, and plane

between

in the middle, but not necessarily half way

congruent segments

Segments that have the same length (same size and shape)

acute angle

angle

area

conjecture

an angle with measure greater than 0 degrees but less than 90…

formed by two rays at a common endpoint; in geometric figures…

on a flat surface, the number of non-overlapping square units…

an educated guess. often results from noticing a pattern duri…

acute angle

an angle with measure greater than 0 degrees but less than 90…

angle

formed by two rays at a common endpoint; in geometric figures…

undefined terms

point

line

plane

words that have no formal definition; point, line and plane a…

a location in space represented by a dot with no size or dime…

a line has one dimension and extends in each end without end

a flat space with two dimensions that extends without end in…

undefined terms

words that have no formal definition; point, line and plane a…

point

a location in space represented by a dot with no size or dime…

Linear Pair

Supplementary angles

Complementary angles

Vertical Angles

A pair of adjacent angles whose noncommon sides are opposite…

Two angles whose sum is 180 degrees

Two angles whose sum is 90 degrees

A pair of opposite congruent angles formed by intersecting li…

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite…

Supplementary angles

Two angles whose sum is 180 degrees

Point

Line

collinear

segment

a location in space

a series of points that extend in two opposite directions wit…

two or more points that lie on the same line

a part of a line containing two end points

Point

a location in space

Line

a series of points that extend in two opposite directions wit…

acute angle

angle

area

conjecture

an angle with measure greater than 0 degrees but less than 90…

formed by two rays at a common endpoint; in geometric figures…

on a flat surface, the number of non-overlapping square units…

an educated guess. often results from noticing a pattern duri…

acute angle

an angle with measure greater than 0 degrees but less than 90…

angle

formed by two rays at a common endpoint; in geometric figures…

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

Collinear

Names a location and has no size. It is represented by a dot.

A straight path that has no thickness and extends forever.

A flat surface that has no thickness and extends forever.

Points that lie on the same line.

Point

Names a location and has no size. It is represented by a dot.

Line

A straight path that has no thickness and extends forever.

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…

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

two angles in the same plane with a common vertex and a commo…

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

two angles in the same plane with a common vertex and a commo…

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…

segment

ray

plane

line

Part of a line consisting of two points and all the points be…

The part of a line that starts at an end point and extends fo…

Flat surface that has no thickness and extends forever.

Straight path that has no thickness and extends forever.

segment

Part of a line consisting of two points and all the points be…

ray

The part of a line that starts at an end point and extends fo…

Net Drawing

Isometric Drawing

Orthographic Drawing

Point

A 2-dimensional diagram that can be folded to form a 3-dimens…

A corner view of a 3-dimensional figure.

Shows 3 separate views of a 3-dimensional object: top view, f…

Indicates location and has no size. You can represent a point…

Net Drawing

A 2-dimensional diagram that can be folded to form a 3-dimens…

Isometric Drawing

A corner view of a 3-dimensional figure.

Acute angle

adjacent angle

angle

angle bisector

an angle with a degree measure less than 90

two angles that lie in the same plane, have a common vertex a…

the intersection of 2 noncollinear rays at a common endpoint.…

a ray that divides an angle into two congruent angles

Acute angle

an angle with a degree measure less than 90

adjacent angle

two angles that lie in the same plane, have a common vertex a…

Acute angle

adjacent angle

angle

angle bisector

an angle with a degree measure less than 90

two angles that lie in the same plane, have a common vertex a…

the intersection of 2 noncollinear rays at a common endpoint.…

a ray that divides an angle into two congruent angles

Acute angle

an angle with a degree measure less than 90

adjacent angle

two angles that lie in the same plane, have a common vertex a…

Name a point

Name a line

Name a plane

Name a segment

One capital letter

Two points with a line above them

The word plane in front of three points on the plane that are…

two points with a line segement bar above

Name a point

One capital letter

Name a line

Two points with a line above them

acute angle

Adjacent Angles

Angle bisector

Collinear

an angle that is less than 90 degrees

-share a vertex (right next to each other)... -share a side -in…

A ray that divides an angle into two congruent angles

objects (points) that CAN be contained on the same line

acute angle

an angle that is less than 90 degrees

Adjacent Angles

-share a vertex (right next to each other)... -share a side -in…

Angle Bisector

Collinear

Complementary Angles

Congruent

A line or ray that divides an angle into two congruent angles

on the same line

a pair of angles whose measures have a sum of 90 degrees

equal in measure

Angle Bisector

A line or ray that divides an angle into two congruent angles

Collinear

on the same line

inductive reasoning

hypothesis

conclusion

counter example

making a conclusion based on a pattern of examples/past events

If p then q. The p

If p then q. Q

An example that shows a conjecture is false

inductive reasoning

making a conclusion based on a pattern of examples/past events

hypothesis

If p then q. The p

line

line segment

point

plane

intersect in points and lies in a common plane

part of a line bounded by end points and can be measured

"that which has no part", names location, labeled with capita…

flat surface named with capital letters. planes are always fl…

line

intersect in points and lies in a common plane

line segment

part of a line bounded by end points and can be measured

point

line

plane

definition

The most basic building block of geometry, it has... no size and…

A straight arrangement of points that goes on for ever in two…

Has length and width but no thickness. A flat surface that ex…

A sentence that explains the meaning of a word or phrase.

point

The most basic building block of geometry, it has... no size and…

line

A straight arrangement of points that goes on for ever in two…

undefined term

point

line

plane

Basic figures in geometry that cannot be defined by using oth…

An undefined term in geometry that names a location and has n…

A straight path that has no thickness and extends forever.

A flat surface that has no thickness and extends forever.

undefined term

Basic figures in geometry that cannot be defined by using oth…

point

An undefined term in geometry that names a location and has n…

Right Angle

Obtuse Angle

Acute Angle

Straight Angle

An angle with a measure of 90

An angle with a measure greater than 90 but less than 180

An angle with a measure less... than 90 but greater than 0

An angle with a measure of 180

Right Angle

An angle with a measure of 90

Obtuse Angle

An angle with a measure greater than 90 but less than 180

Point

Line

Plane

Collinear Points

Indicates a location and has no size.

Is represented by a straight path that extends in two opposit…

Is represented by a flat surface that extends without end and…

Points on the same line.... Points A, F, and B are _____________…

Point

Indicates a location and has no size.

Line

Is represented by a straight path that extends in two opposit…

point

line

plane

segment

a figure that has no size, it indicates position

a figure that has no thickness or width and extends infinitel…

a flat surface that extends infinitely in all directions

part of a line that contains two endpoints and all points in…

point

a figure that has no size, it indicates position

line

a figure that has no thickness or width and extends infinitel…

perpendicular bisector

transformation rotation

noncollinear

midpoint

a line segment perpendicular to and passing through the midpo…

turn a figure about a given point. Object is rotated inside a…

not on same line

the point directly between two other points in the middle

perpendicular bisector

a line segment perpendicular to and passing through the midpo…

transformation rotation

turn a figure about a given point. Object is rotated inside a…

point

line

plane

collinear points

indicates a location and has no size

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

represented by a flat surface that extends without end and ha…

points that lie on the same line

point

indicates a location and has no size

line

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

Point

Line

Plane

Line segment

Is a location. It has neither shape or 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…

It is a segment with two end points

Point

Is a location. It has neither shape or size

Line

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