Analytic Geometry Vocabulary Cards and Word Walls

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.

major arc

major arc

major arc

Given two points on a circle,

the major arc is the longest arc

connecting the two points.

median (of a triangle)

median (of a triangle)

median (of a triangle)

The segment joining

one vertex of a triangle

to the midpoint of the

side opposite the vertex

midsegment

midsegment

midsegment

. The segment joining

the midpoints of two

sides of a triangle

minor arc

minor arc

minor arc

Given two points on a circle,

the minor arc is the

shortest arc linking them.

monomial expression

monomial

expression

monomial

expression

An algebraic expression

with one term

Multiplication Rule

Multiplication

Rule Are the events independent?

Multiplication

Rule Are the events independent?

If events A and B are independent,

then the probability of A and B can be

found by multiplying the probabilities

together:

( ) ( ) ( )

mutually exclusive

events

mutually

exclusive events

mutually

exclusive events

Two events that cannot

occur simultaneously,

meaning that the

probability of the

intersection of the two

events is zero; also

known as disjoint

events.

nth

roots

nth

roots

nth

roots

The number that must

be multiplied by itself

n times to equal a

given value

opposite side

opposite

side

opposite

side

In reference to an

angle of a triangle, the

opposite side is the

side of the triangle

that does not form the

angle.

orthocenter

orthocenter

orthocenter

The point of

concurrency of the

altitudes of a triangle

outcome

outcome

outcome

A possible result

of an experiment

overlapping events

overlapping

events

overlapping

events

Events that can occur

simultaneously –

they have an intersection

parabola

parabola

parabola

The set of all points in a

plane equidistant from a

fixed line, called the

directrix, and a fixed

point, called the focus

parallel lines

parallel

lines

parallel

lines

Two lines are parallel

if they lie in the same

plane and they do not

intersect.

perfect square

trinomial

perfect square

trinomial

perfect square

trinomial

A trinomial that factors into

two identical binomial

factors

perpendicular bisector

perpendicular

bisector

perpendicular

bisector

A perpendicular line or

segment that passes through

the midpoint

of a segment

perpendicular lines

perpendicular

lines

perpendicular

lines

Two lines are perpendicular if

they intersect at a right angle.

plane

plane

Three planes intersecting

plane

Three planes intersecting

One of the basic undefined

terms of geometry

Traditionally thought of as

going on forever in all

directions (in two-

dimensions) and is flat

(i.e., it has no thickness).

point

point

point

One of the basic

undefined terms of geometry

Traditionally thought of as having no

length, width, or thickness, and often a

dot is used to represent it.

point of tangency

point of

tangency

point of

tangency

The point where a

tangent line touches a circle

polynomial function

polynomial

function

polynomial

function

A polynomial function

has terms that only have

positive integer

exponents combined by

addition and/or

subtraction

properties of equality

properties of

equality

properties

of equality

Properties of equality allow an equation to be

transformed while maintaining the equality of the

quantities on each side of the equation symbol;

properties of equality can also be used to make

logical arguments

proportion

proportion

proportion

An equation which states

that two ratios are equal

Pythagorean Theorem

Pythagorean

Theorem

Pythagorean

Theorem

In a right triangle, the

square of the length of

the hypotenuse equals

the sum of the squares of

the lengths of the legs.

quadratic equation

quadratic

equation

quadratic

equation

An equation of degree 2,

which has at most two

solutions

quadratic function

quadratic

function

quadratic

function

A function of degree 2

which has a graph shaped

like a U

(can be right-side up

or upside down)

radius

radius

radius

The distance from the center of a circle

to any point on the circle. Also, the

line segment that has the center of the

circle as one endpoint and a point on

the circle as the other endpoint.

ratio

ratio

ratio

Comparison of two

quantities by division and

may be written as r/s, r:s, or

r to s

rational exponents

rational

exponents

rational

exponents

For a > 0, and integers m and n, with

n > 0,

a

m

n amn a

n m

; am/n = (a1/n)m =

(am)1/n

rational expression

rational

expression

rational

expression

A quotient of two

polynomials with a non‐zero denominator

rational number

rational

number

rational

number

A number expressible in the form a/b

or – a/b for some fraction a/b.

The rational numbers

include the integers.

ray

ray

ray

A ray begins at a

point and

goes on forever

in one direction

reflection

reflection

reflection

A transformation that "flips" a

figure over a line of reflection

reflection line

reflection

line

reflection

line

A line that is the

perpendicular bisector of

the segment with

endpoints at a pre-image

point and the image of that

point after a reflection.

regular polygon

regular

polygon

regular

polygon

A polygon that is both

equilateral and

equiangular

remote interior angles (of a triangle)

remote

interior angles (of a triangle)

remote

interior angles (of a triangle)

The two angles non-

adjacent

to the exterior angle

root

root

root

The x-values where the

function has a value of

zero

rotation

rotation

rotation

A transformation that turns a figure

about a fixed point through a given

angle in a given direction.

same-side

exterior angles

same-side

exterior angles

same-side

exterior angles

Pairs of angles formed when a third

line (a transversal) crosses two other

lines. These angles are on the same

side of the transversal and are outside

the other two lines. When the two

other lines are parallel, same-side

exterior angles are supplementary.

same-side

interior angles

same-side

interior angles

same-side

interior angles

Pairs of angles formed when a third

line (a transversal) crosses two other

lines. These angles are on the same

side of the transversal and are between

the other two lines. When the two

other lines are parallel, same-side

interior angles are supplementary.

sample space

sample

space

sample

space

The set of all

possible

outcomes from an

experiment

scale factor

scale

factor

Scale factor of Dad’s cup to Mom’s cup:

3:2

scale

factor

The ratio of any two

corresponding lengths of

the sides of two similar

figures

secant line

secant line

secant line

A line in the plane of a circle

that intersects a circle at

exactly two points

secant segment

secant

segment

is a secant segment

secant

segment

is a secant segment

A segment that contains a

chord of a circle and has

exactly one endpoint

outside of the circle

sector

sector

sector

The region bounded by

two radii of the circle and

their intercepted arc

set

set

set

A collection of numbers,

geometric figures, letters,

or other objects that have

some characteristic in

common

similar figures

similar

figures

similar

figures

Figures that have the

same shape but not

necessarily the same

size

similar triangles

similar

triangles

similar

triangles

Triangles are similar if they have the same

shape but not necessarily the same size.

Triangles whose corresponding angles

are congruent are similar.

Corresponding sides of similar

triangles are all in the same proportion.

skew lines

skew lines

skew lines

Two lines that do not

lie in the same plane

(therefore, they cannot

be parallel or intersect).

slant height

slant

height

slant

height

The diagonal distance

from the apex of a right

circular cone or a right

regular pyramid to the

base

standard form

standard

form

standard

form

Polynomial: Written so that

the terms are in decreasing

powers of the variable

Circle: Written so that the

center, (h,k), and radius, r, are

easily seen in the equation:

( ) ( )

subset

subset

Olive oil is a subset of cooking oils.

subset

Olive oil is a subset of cooking oils

A set in which every element is

also contained in a larger set

supplementary angles

supplementary

angles

supplementary

angles

Two angles

whose sum

is 180 degrees.

tangent line

tangent

line

tangent

line

A line in the plane of a circle

that intersects a circle at only

one point, the point of

tangency

transformation

transformation

transformatio

n

The mapping, or movement, of all the

points of a figure in a plane according

to a common operation

translation

translation

translation

A transformation

that "slides" each

point of a figure

the same distance

in the same

direction

transversal

transversal

transversal

A line that crosses

two or more lines

trinomial

trinomial

trinomial

An algebraic expression

with three unlike terms

union of sets

union

of sets

union

of sets

The set of all elements that

belong to at least one of the

given two or more sets

denoted by

Venn diagram

Venn

diagram

Venn

diagram

A picture that illustrates

the relationship between

two or more sets

vertex

vertex

vertex

The maximum or minimum

value of a parabola, either

in terms of y if the parabola

is opening up or down, or

in terms of x if the parabola

is opening left or right

vertex form

vertex

form

vertex

form

A formula for a quadratic

equation of the form

f (x) = a (x – h)2 + k,

where a is a nonzero constant and the

vertex of the graph is the point (h, k)

vertical angles

vertical

angles

vertical

angles

Two nonadjacent angles formed

by intersecting lines or segments

whole numbers

whole

numbers

whole

numbers

The numbers 0, 1, 2, 3, …