Analytic Geometry

Vocabulary Cards and Word Walls

Important Notes for Teachers:

The vocabulary cards in this file reflect the vocabulary students taking

Coordinate Algebra will need to know and be able to use.

The cards are arranged alphabetically.

Each card has three sections.

o Section 1 is only the word. This is to be used as a visual aid in

spelling and pronunciation. It is also used when students are writing

their own “kid-friendly” definition and drawing their own graphic.

o Section 2 has the word and a graphic. This graphic is available to be

used as a model by the teacher.

o Section 3 has the word, a graphic, and a definition. This section can be

used for the Word Wall in the classroom.

These cards are designed to help all students with math content vocabulary,

including ELL, Gifted and Talented, Special Education, and Regular

Education students.

Addition Rule

Addition

Rule

Addition

Rule

A method for finding the probability

that two events occur; if the two events

overlap, the probability of the intersection

is added twice, so the intersection needs

to be subtracted to compensate for the

double addition:

( ) ( ) ( ) ( )

adjacent angles

adjacent

angles

adjacent

angles

Angles in the same plane that have a

common vertex and a common side,

but no common interior points

adjacent side

adjacent

side

adjacent

side

In a right triangle, for each acute angle

in the interior of the triangle, one ray

forming the acute angle contains one of

the legs of the triangle and the other

ray contains the hypotenuse. This leg

on one ray forming the angle is called

the adjacent side of the acute angle.

alternate exterior

angles

alternate

exterior angles

alternate

exterior

angles

Alternate exterior angles are pairs of

angles formed when a third line (a

transversal) crosses two other lines.

These angles are on opposite sides of

the transversal and are outside the

other two lines. When the two other

lines are parallel, the alternate exterior

angles are equal.

alternate interior

angles

alternate

interior angles

alternate

interior angles

Alternate interior angles are pairs of

angles formed when a third line (a

transversal) crosses two other lines.

These angles are on opposite sides of

the transversal and are in between the

other two lines. When the two other

lines are parallel, the alternate interior

angles are equal.

angle

angle

angle

Angles are created by two distinct rays

that share a common endpoint (also

known as a vertex). ABC or B

denote angles with vertex B.

angle of depression

angle of

depression

angle of

depression

The angle below horizontal that an

observer must look to see an object that

is lower than the observer. Note: The

angle of depression is congruent to the

angle of elevation.

angle of elevation

angle of

elevation

angle of

elevation

The angle above horizontal that an

observer must look to see an object that is

higher than the observer.

Note: The angle of elevation is congruent

to the angle of depression.

arc

arc

arc

An unbroken part of a circle

Minor arcs have a measure less

than 180o.

Semi-circles are arcs that measure

exactly 180o.

Major arcs have a measure greater

than 180o.

arc length

arc length

arc length

A portion of the

circumference of the circle

arc measure

arc

measure

arc

measure

The angle that an arc makes

at the center of the circle

of which it is a part

binomial expression

binomial

expression

binomial

expression

An algebraic expression

with two unlike terms

bisector

bisector

bisector

A bisector divides a segment or angle

into two equal parts

Cavalieri’s Principle

Cavalieri’s

Principle

Cavalieri’s

Principle

A method of finding the volume of

any solid for which cross-sections by

parallel planes have equal areas.

center (of a circle)

center (of a circle)

center (of a circle)

The point inside the circle that

is the same distance from

all of the points on the circle

central angle

central

angle

central

angle

An angle whose vertex is

at the center of a circle and whose

sides are radii of the circle

Angle Vertex

at Center of Circle

centroid

centroid

centroid

The point of concurrency of

the medians of a triangle

chord

chord

chord

A segment whose endpoints

are on a circle

circle

circle

circle

A plane figure with all points

the same distance from

a fixed point called a center

Standard form:

( ) ( )

circumcenter

circumcenter

circumcenter

The point of concurrency

of the perpendicular bisectors

of the sides of a triangle

circumscribed circle

circumscribed

circle

circumscribed

circle

A circle containing

an inscribed polygon

coincidental

coincidental

coincidental

Two equivalent linear equations

overlap when graphed.

complement

complement

complement

Given a set A, the complement

of A, denoted ̅ or , is the set

of elements that are not

members of A.

complementary angles

complementary

angles

complementary

angles

Two angles whose sum is 90°

are called complementary.

Each angle is called the

complement of the other.

complete factorization

complete

factorization

complete

factorization

Writing a polynomial as a product

of other polynomials that cannot

be factored any further

completing the square

completing

the square

completing

the square

Completing the square is

the process of converting

a quadratic equation into

a perfect square trinomial

by adding or subtracting

terms on both sides.

Add 2 to complete the square.

complex conjugate

complex

conjugate

complex

conjugate

A pair of complex numbers, both

having the same real part, but with

imaginary parts of equal magnitude

and opposite signs

For example, 3 + 4i and 3 − 4i are

complex conjugates.

complex number

complex

number

complex

number

A complex number is the sum

of a real number and an

imaginary number

a + bi

where a and b are real numbers

and i is the imaginary unit,

satisfying i2 = −1.

composite figures

composite

figures

composite

figures

A figure made from

two or more

geometric figures

conditional

probability

conditional

probability

conditional

probability

The probability of an event given that

another event has already occurred;

Notation:

The formula for a conditional probability

is

congruent

congruent

congruent

Having the same size, shape and

measure; two figures are congruent if

all of their corresponding measures are

equal.

conic section

conic

section

conic

section

A figure formed by the intersection of

a plane and a right circular cone;

depending on the angle of the plane

with respect to the cone, a conic

section may be a circle, an ellipse, a

parabola, or a hyperbola

corresponding angles

corresponding

angles

corresponding

angles

Angles that have the same

relative positions in

geometric figures

corresponding sides

corresponding

sides

corresponding

sides

Sides that have the same relative

positions in geometric figures

dependent events

dependent

events

dependent

events

Two or more events in which the

outcome of one event affects the

outcome of the other event or events

diameter

diameter

diameter

The distance across a circle

through its center; the line

segment that includes the

center and whose endpoints

lie on the circle

difference of squares

difference

of squares

difference

of squares

A perfect square subtract

another perfect square

For example:

dilation

dilation

dilation

Transformation

that changes the

size of a figure, but

not the shape

discriminant

discriminant

discriminant

The discriminant of a

quadratic equation of the form

ax2 + bx+ c = 0, a 0,

is the number b2 – 4ac

element

element

element

A member or item

in a set

endpoints

endpoints

endpoints

The points at an end

of a line segment

equiangular

equiangular

equiangular

The property of a

polygon whose

angles are all

congruent

equilateral

equilateral

equilateral

The property

of a polygon

whose sides

are all

congruent.

exponential function

exponential

function

exponential

function

A function of the form

y = a·bx

where a > 0 and

either 0 < b < 1 or b > 1.

expression

expression

expression

A mathematical

phrase involving at

least one variable

and sometimes

numbers and

operation symbols

exterior angle

of a polygon

exterior angles

of a polygon

exterior angles

of a polygon

An angle that forms

a linear pair with

one of the angles

of the polygon

focus of a parabola

focus of a

parabola

focus of a

parabola

Every point on a

parabola is

equidistant from a

fixed point (called

the focus) and a

fixed line (called the

directrix)

general form (of equation of a circle)

general

form (of equation of a circle)

general

form (of equation of a circle)

Found by expanding the

standard form of the

equation of a circle:

square the two

binomials

combine like terms and

set the equation equal

to zero

horizontal shift

horizontal

shift

horizontal

shift

A rigid transformation

of a graph in a

horizontal direction,

either left or right

incenter

incenter

incenter

The point of concurrency of

the bisectors of the angles

of a triangle

independent events

independent

events

independent

events

Events whose

outcomes do not

influence each other

inscribed

inscribed

inscribed

An inscribed planar shape

or solid is one that is

enclosed by and "fits

snugly" inside another

geometric shape or solid.

inscribed angle

inscribed

angle

inscribed

angle

An angle whose vertex

is on the circle and

whose sides contain

chords of a circle

inscribed circle

inscribed

circle

inscribed

circle

A circle enclosed in a

polygon, where every side of

the polygon is a tangent to

the circle; specifically for

this unit the polygon will be

a triangle and so the center

of the inscribed circle is the

incenter of the triangle

inscribed polygon

inscribed

polygon

inscribed

polygon

A polygon is inscribed

in a circle if and only if

each of its vertices lie

on the circle.

intersecting lines

intersecting

lines

intersecting

lines

Two lines in a plane

that cross each other.

Unless two lines are

coincidental, parallel, or

skew, they will intersect

at one point.

intersection

intersection

intersection

The point at which

two or more lines

intersect or cross

intersection of sets

intersection

of sets

intersection

of sets

The set of all elements

contained in all of the

given sets

Notation:

lateral area

lateral

area

lateral

area

The sum of the areas of

the lateral faces of a

cylinder, cone, etc.

line

line

line

One of the basic

undefined terms of geometry

Traditionally thought of as a set of

points that has no thickness but its

length goes on forever in two opposite

directions.

line segment

line segment

line segment

The part of a line

between two points on

the line. ̅̅ ̅̅ denotes a

line segment between

the points A and B.

linear pair

linear pair

linear pair

Adjacent,

supplementary angles;

excluding their

common side, a linear

pair forms a straight

line.