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Vertical angles are congruent

Right angles are congruent

definition of congruent angles

definition of angle bisector

2 angles whose sides form 2 pairs of opposites rays

All right angles are congruent/ Right angle congruence theorem

Two angles are congruent if and only if they are equal

ray that divides an angle into 2 congruent angles

Vertical angles are congruent

2 angles whose sides form 2 pairs of opposites rays

Right angles are congruent

All right angles are congruent/ Right angle congruence theorem

triangolo equilatero

triangolo isoscele

triangolo scaleno

triangolo rettangolo

triangolo con tutti i lati uguali

triangolo con due lati uguali

triangolo con tutti i lati diversi

triangolo con un angolo retto, cioè di 90 gradi

triangolo equilatero

triangolo con tutti i lati uguali

triangolo isoscele

triangolo con due lati uguali

Square

Rectangle

Triangle

Circle

A quadrilateral with 4 equal sides and 4 right angles.... Opposi…

A Quadrilateral with 4 sides and 4 right angles.... Opposite sid…

A polygon with 3 sides and 3 angles.

A polygon made with a continuous line which is always the sam…

Square

A quadrilateral with 4 equal sides and 4 right angles.... Opposi…

Rectangle

A Quadrilateral with 4 sides and 4 right angles.... Opposite sid…

Area

Perimeter

Area vs perimeter

Trapezoid

Area is the number of square units enclosed by the two dimens…

Perimeter is the distance around the outside of a 2D shape.

Area is the number of square units enclosed by the 2D shape.…

Two dimensional shape with four sides and one pair of paralle…

Area

Area is the number of square units enclosed by the two dimens…

Perimeter

Perimeter is the distance around the outside of a 2D shape.

Acute Angle

Adjacent Angles

Angle

Angle Addition Postulate

Angle that measures between 0 and 90 degrees.

Angles which share a side and a vertex.

Is formed by two rays connected with an endpoint.

If S is in the interior of <PQR, then the m<PQS + m<SQR = m<P…

Acute Angle

Angle that measures between 0 and 90 degrees.

Adjacent Angles

Angles which share a side and a vertex.

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…

height

length

width

area

(noun) the vertical distance from top to bottom.

(noun) the distance along a line or curve.

(noun) the distance from one side of an object to another.

(noun) the amount of surface inside a 2-dimensional shape. Th…

height

(noun) the vertical distance from top to bottom.

length

(noun) the distance along a line or curve.

conjecture

converse

counterexample

deductive reasoning

an educated guess about what will always be true

a statement formed by interchanging the hypothesis and conclu…

a false example that shows a conjecture is not always true

using rules of logic to reach a conclusion

conjecture

an educated guess about what will always be true

converse

a statement formed by interchanging the hypothesis and conclu…

Point

Line

Segment

Plane

mathematical object with no size, which can be specified in -…

A straight path that extends without end in opposite directio…

A part of a line between two endpoints.

A flat surface on which a straight line joining any two point…

Point

mathematical object with no size, which can be specified in -…

Line

A straight path that extends without end in opposite directio…

Square

Rectangle

Triangle

Circle

A _____ is a plane figure with 4 equal sides and 4 right angl…

A Quadrilateral with 4 sides and 4 right angles.... Opposite si…

A polygon with 3 sides and 3 angles.

A polygon made with a continuous line which is always the sam…

Square

A _____ is a plane figure with 4 equal sides and 4 right angl…

Rectangle

A Quadrilateral with 4 sides and 4 right angles.... Opposite si…

geometria solida

diedro

diedro concavo

diedro convesso

si occupa dei corpi a tre dimensioni

è ciascuna delle due parti illimitate di spazio comprese tra…

contiene il prolungamento dei piani a cui appartengono le sue…

non contiene il prolungamento dei piani a cui appartengono le…

geometria solida

si occupa dei corpi a tre dimensioni

diedro

è ciascuna delle due parti illimitate di spazio comprese tra…

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "m…

identifies a geometry which Euclid formalized and which was a…

terms in Euclidean geometry which mathematicians consider onl…

one of the undefined terms; it has only position and has no l…

Geometry

word composed of two Greek terms, "geos" meaning earth and "m…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was a…

Collinear

Linear Pair

Supplementary angles

Complementary angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite…

Two angles whose sum is 180 degrees

Two angles whose sum is 90 degrees

Collinear

Points that lie on the same line

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite…

Collinear

Linear Pair

Supplementary angles

Complementary angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite…

Two angles whose sum is 180 degrees

Two angles whose sum is 90 degrees

Collinear

Points that lie on the same line

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite…

Parallel Lines

Skew lines

Transversal

Parallel Postulate

When two or more lines lie in the same plane and never inters…

Lines that are in different planes and never intersect.

A line that intersects two or more lines in different points

If there is a line and a point not on a line, then there is e…

Parallel Lines

When two or more lines lie in the same plane and never inters…

Skew lines

Lines that are in different planes and never intersect.

conclusion

converse

contrapositive

syllogism

"then" part of a conditional statement

switch the if and then of a conditional (q -> p)

negate and switch the if and then (~q -> ~p)

conclusion

"then" part of a conditional statement

converse

switch the if and then of a conditional (q -> p)

angolo

angoli consecutivi

angoli adiacenti

angoli opposti al vertice

è ciascuna delle parti di piano diviso da 2 semirette che han…

con vertice e un lato in comune

se sono consecutivi ed hanno i lati non comuni appartenenti a…

se i lati di un angolo sono i prolungamenti dei lati dell'alt…

angolo

è ciascuna delle parti di piano diviso da 2 semirette che han…

angoli consecutivi

con vertice e un lato in comune

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "m…

identifies a geometry which Euclid formalized and which was a…

terms in Euclidean geometry which mathematicians consider onl…

one of the undefined terms; it has only position and has no l…

Geometry

word composed of two Greek terms, "geos" meaning earth and "m…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was a…

conclusion

converse

contrapositive

law of syllogism

"then" part of a conditional statement

switch the if and then of a conditional (q -> p)

negate and switch the if and then (not q -> not p)

conclusion

"then" part of a conditional statement

converse

switch the if and then of a conditional (q -> p)

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

The process of reasoning that a rule or statement is true bec…

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

The process of reasoning that a rule or statement is true bec…

Conjecture

A statement that is believed to be true

counterexample

conjecture

conditional statement

hypothesis

Used to show that a conjecture is false.

a statement you believe to be true based on inductive reasoni…

a statement that can be written in the form "if p, then q"

the part p of a conditional statement following the word if.

counterexample

Used to show that a conjecture is false.

conjecture

a statement you believe to be true based on inductive reasoni…

Ruler Postulate

Segment Addition Postulate

Reflexive Property of Congruence

Symmetric Property of Congruence

The points on a line can be put into a one-to-one corresponde…

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

For any segment AB, AB = AB... For any angle A, m∠A = m∠A

If AB = CD, then CD = AB... if ∠A ≅ ∠B, then ∠B ≅ ∠A

Ruler Postulate

The points on a line can be put into a one-to-one corresponde…

Segment Addition Postulate

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

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

an accepted statement of fact

are a pair of angles with a common vertex and a common side,…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

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

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…

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

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

The things in Geometry that can really only be explained in e…

A location in space with no shape or size; noted as a capital…

An infinite number of points that together have no thickness…

A flat surface with at least three points that goes on foreve…

Undefined Term:

The things in Geometry that can really only be explained in e…

Point

A location in space with no shape or size; noted as a capital…

conditional statement

hypothesis

conclusion

converse

an if__________, then __________ statement

if this is true, then you can say that the conclusions is true

this is true only if the hypothesis is true

statement formed by switching the hypothesis and the conclusion

conditional statement

an if__________, then __________ statement

hypothesis

if this is true, then you can say that the conclusions is true

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same Side Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Nonadjacent exterior angles that lie on opposite sides of the…

Angles that lie on the same side of the traversal and in corr…

Interior angles that lie on the same side of the transversal.…

Alternate Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Alternate Exterior Angles

Nonadjacent exterior angles that lie on opposite sides of the…

No size no width no height

two

Three

A point

Identify a point

A line is made of at least ...... colinear points

A plane is made of at least ........ non colinear points

Intersection of two lines creates ......

No size no width no height

Identify a point

two

A line is made of at least ...... colinear points

Line

Collinear points

Coplanar

Segment

A straight, unbroken set of points that goes on forever. It h…

A set of points that lie on the same line

Points, lines, or segments that lie on the same plane

A part of a line with two endpoints.

Line

A straight, unbroken set of points that goes on forever. It h…

Collinear points

A set of points that lie on the same line

Perpendicular lines

Parallel lines

Vertical angles

Adjacent angles

Lines that intersect to form right angles

Coplanar lines that do not intersect

Angles that are formed opposite of each other when 2 lines in…

Angles that share a vertex and a side

Perpendicular lines

Lines that intersect to form right angles

Parallel lines

Coplanar lines that do not intersect

Line AB

collinear points

plane

coplanar

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

points that lie on the same plane

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 plane

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

Construct

Classifying Triangles

Acute Triangle

Right Triangle

A tangent from a point outside a given circle to the circle

All equilateral triangles are isosceles

Three angles, each less than 90 degrees

One angle equals 90 segrees

Construct

A tangent from a point outside a given circle to the circle

Classifying Triangles

All equilateral triangles are isosceles

Parallel Lines

Perpendicular lines

Skew lines

Parallel Planes

Coplanar lines that do not intersect.... Their equations have th…

Lines that intersect at 90 degree angles.... Their slopes have a…

Lines that are not coplanar, not parallel and do not intersect.

Planes that do not intersect

Parallel Lines

Coplanar lines that do not intersect.... Their equations have th…

Perpendicular lines

Lines that intersect at 90 degree angles.... Their slopes have a…

Geometric Mean

Trigonometric Ratios

Inverse Trigonometric Ratios

Area of Triangle

Two positive numbers a and b is the positive number x that sa…

If sin A = x, then sin-1 x = measure of angle A

Geometric Mean

Two positive numbers a and b is the positive number x that sa…

Trigonometric Ratios

angolo

angoli consecutivi

angoli adiacenti

angoli opposti al vertice

è ciascuna delle parti di piano diviso da 2 semirette che han…

con vertice e un lato in comune

se sono consecutivi ed hanno i lati non comuni appartenenti a…

se i lati di un angolo sono i prolungamenti dei lati dell'alt…

angolo

è ciascuna delle parti di piano diviso da 2 semirette che han…

angoli consecutivi

con vertice e un lato in comune