#### Study sets matching "1 geometry day"

#### Study sets matching "1 geometry day"

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.

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…

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

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

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…

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.

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

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

Composition

Image

Isometry

Preimage

The combining of distinct parts or elements to form a whole

An optically formed duplicate, counterpart, or other represen…

A transformation that is invariant with respect to distance.…

The original figure prior to a transformation.

Composition

The combining of distinct parts or elements to form a whole

Image

An optically formed duplicate, counterpart, or other represen…

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

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

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... -…

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

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

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.

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.

Where is the vertex?

If the vertex is more than one letter,…

Adjacent angles:

what does m usually stand for?

It's the point where two rays meet.

no

Angles which share a common endpoint or vertex and a common s…

the measure of.

Where is the vertex?

It's the point where two rays meet.

If the vertex is more than one letter,…

no

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

Circle

Radius

Chord

Diameter

Set of all points that are equidistant from a given point cal…

Segment whose endpoints are the center and any point of the c…

A segment whose endpoints are on the circle.

A chord that contains the center of the circle.

Circle

Set of all points that are equidistant from a given point cal…

Radius

Segment whose endpoints are the center and any point of the c…

Circle

Radius

Chord

Diameter

Set of all points that are equidistant from a given point cal…

Segment whose endpoints are the center and any point of the c…

A segment whose endpoints are on the circle.

A chord that contains the center of the circle.

Circle

Set of all points that are equidistant from a given point cal…

Radius

Segment whose endpoints are the center and any point of the c…

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

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…

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

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…

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…

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

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

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

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

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"

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

Undefined terms

Point

Line

Plane

The most basic figures in geometry are points, lines, and pla…

_____________is the smallest figure in geometry. It shows a l…

_____________ is straight path that has no thickness and goes…

____________ is a flat surface that has no thickness and goes…

Undefined terms

The most basic figures in geometry are points, lines, and pla…

Point

_____________is the smallest figure in geometry. It shows a l…