# Study sets matching "geo geometry"

Study sets

Diagrams

Classes

Users

conjecture

counterexample

deductive reasoning

inductive reasoning

a statement you believe to be true based on inductive reasoning

a drawing, statement, or number that shows that a conjecture i…

the process of using logic to draw conclusions from given fact…

the process of reasoning that a rule or statement is true beca…

conjecture

a statement you believe to be true based on inductive reasoning

counterexample

a drawing, statement, or number that shows that a conjecture i…

Transformations

Translations

Rotations

Reflections

Change and become something else; There are 4 Major Transforma…

sliding ALL points in the SAME DIRECTION and SAME DISTANCE

Spinning around a specific point; Usually happens in increment…

Flipping across a vertical or horizontal line

Transformations

Change and become something else; There are 4 Major Transforma…

Translations

sliding ALL points in the SAME DIRECTION and SAME DISTANCE

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Angle congruent to another angle

A line perpendicular through point not…

Angle bisector

A line perpendicular through a point on…

What is being constructed?

What is being constructed?

What is being constructed?

What is being constructed?

Angle congruent to another angle

What is being constructed?

A line perpendicular through point not…

What is being constructed?

Point

Collinear points

Plane

Coplanar points

location with no size or shape

Points that lie on the same line

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

Points that lie on the same plane

Point

location with no size or shape

Collinear points

Points that lie on the same line

acute angle

adjacent angles

bisector

collinear

an angle that measures less than 90 degrees

Two angles that have a common vertex and a common side

A point, line or line segment that divides a segment or angle…

Points that lie on the same line

acute angle

an angle that measures less than 90 degrees

adjacent angles

Two angles that have a common vertex and a common side

inductive reasoning

conjecture

deductive reasoning

function rule

Reasoning from specific observations to make generalizations.…

A conclusion based on guesswork or insufficient evidence.

Reasoning from a general case that is known to be true to a sp…

An expression that describes the relationship between each inp…

inductive reasoning

Reasoning from specific observations to make generalizations.…

conjecture

A conclusion based on guesswork or insufficient evidence.

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

It is used to draw a conclusion based on a pattern.

A statement that is believed to be true.

It is an example that proves a conjecture or statement is fals…

A statement written in if then form with a hypothesis and conc…

Inductive Reasoning

It is used to draw a conclusion based on a pattern.

Conjecture

A statement that is believed to be true.

Ratio

Proportion

Extremes and means

Cross Products Property

Compares two numbers by division

An equation stating that two ratios are equal

a:b = c:d... a and d are the extremes; b and c are the means

In a proportion, the product of the extremes is equal to the p…

Ratio

Compares two numbers by division

Proportion

An equation stating that two ratios are equal

Line Segment

Radius

Circle

Geometric construction

A part of a line with two endpoints

The distance from the center of a circle to any point on the c…

The set of all points that are equidistant from a single point…

A drawing that is created using a compass-and-straightedge.

Line Segment

A part of a line with two endpoints

Radius

The distance from the center of a circle to any point on the c…

Point

Line

Line Segment

Ray

A location with no size or shape

Made up of points with no thickness or width (infinitely long).

Measurable part of a line consisting of two endpoints.

Line that extends indefinitely in one direction.

Point

A location with no size or shape

Line

Made up of points with no thickness or width (infinitely long).

rotation

translation

reflection

transformation

A transformation in which a figure is turned around a point

A transformation that "slides" each point of a figure the same…

A transformation that "flips" a figure over a mirror or reflec…

a function that changes the position or direction of a pre-ima…

rotation

A transformation in which a figure is turned around a point

translation

A transformation that "slides" each point of a figure the same…

Linear Pair Theorem

Vertical Angles Theorem

Corresponding Angles Postulate

Two Perps Theorem

If two angles form a linear pair, then they are supplementary.

If two angles are vertical angles, then they are congruent.

If two parallel lines are cut by a transversal, then the pairs…

If two lines are perpendicular to the same line, then the line…

Linear Pair Theorem

If two angles form a linear pair, then they are supplementary.

Vertical Angles Theorem

If two angles are vertical angles, then they are congruent.

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Segment Addition Postulate

Definition of a Congruent

Definition of a Bisector

Definition of a Midpoint

If three points A, B, C are collinear and B is between A and C…

Segments or angles that have the same measure (Used when you s…

a line or segment that intersects a segment or angle and divid…

divides the segment into two congruent segments

Segment Addition Postulate

If three points A, B, C are collinear and B is between A and C…

Definition of a Congruent

Segments or angles that have the same measure (Used when you s…

undefined term

point

line

plane

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

Location in space, it has no size

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

a flat surface that extends forever

undefined term

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

point

Location in space, it has no size

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Radius

Diameter

Chord

circumference

Any straight line from the center of a circle to its circumfer…

the distance measured from one point on a circle to another go…

Any straight line linking two points on a circle`s circumferen…

The total length of the outside edge (perimeter) of a circle.

Radius

Any straight line from the center of a circle to its circumfer…

Diameter

the distance measured from one point on a circle to another go…

parallel lines

skew lines

parallel planes

transversal

Coplanar lines that do not intersect.

Lines that do not intersect and are not coplanar.

Two planes that do not intersect.

A line that intersects two coplanar lines at two distinct poin…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.

SSS

SAS

ASA

AAS

Three sides of one triangle are congruent to three sides of an…

Two sides and the included angle of one triangle are congruent…

Two angles and the included side of one triangle are congruent…

Two angles and the non-included side of one triangle are congr…

SSS

Three sides of one triangle are congruent to three sides of an…

SAS

Two sides and the included angle of one triangle are congruent…