![Page 1: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/1.jpg)
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.
![Page 2: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/2.jpg)
major arc
major arc
major arc
Given two points on a circle,
the major arc is the longest arc
connecting the two points.
![Page 3: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/3.jpg)
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
![Page 4: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/4.jpg)
midsegment
midsegment
midsegment
. The segment joining
the midpoints of two
sides of a triangle
![Page 5: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/5.jpg)
minor arc
minor arc
minor arc
Given two points on a circle,
the minor arc is the
shortest arc linking them.
![Page 6: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/6.jpg)
monomial expression
monomial
expression
monomial
expression
An algebraic expression
with one term
![Page 7: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/7.jpg)
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:
( ) ( ) ( )
![Page 8: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/8.jpg)
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.
![Page 9: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/9.jpg)
nth
roots
nth
roots
nth
roots
The number that must
be multiplied by itself
n times to equal a
given value
![Page 10: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/10.jpg)
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.
![Page 11: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/11.jpg)
orthocenter
orthocenter
orthocenter
The point of
concurrency of the
altitudes of a triangle
![Page 12: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/12.jpg)
outcome
outcome
outcome
A possible result
of an experiment
![Page 13: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/13.jpg)
overlapping events
overlapping
events
overlapping
events
Events that can occur
simultaneously –
they have an intersection
![Page 14: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/14.jpg)
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
![Page 15: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/15.jpg)
parallel lines
parallel
lines
parallel
lines
Two lines are parallel
if they lie in the same
plane and they do not
intersect.
![Page 16: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/16.jpg)
perfect square
trinomial
perfect square
trinomial
perfect square
trinomial
A trinomial that factors into
two identical binomial
factors
![Page 17: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/17.jpg)
perpendicular bisector
perpendicular
bisector
perpendicular
bisector
A perpendicular line or
segment that passes through
the midpoint
of a segment
![Page 18: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/18.jpg)
perpendicular lines
perpendicular
lines
perpendicular
lines
Two lines are perpendicular if
they intersect at a right angle.
![Page 19: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/19.jpg)
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).
![Page 20: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/20.jpg)
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.
![Page 21: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/21.jpg)
point of tangency
point of
tangency
point of
tangency
The point where a
tangent line touches a circle
![Page 22: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/22.jpg)
polynomial function
polynomial
function
polynomial
function
A polynomial function
has terms that only have
positive integer
exponents combined by
addition and/or
subtraction
![Page 23: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/23.jpg)
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
![Page 24: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/24.jpg)
proportion
proportion
proportion
An equation which states
that two ratios are equal
![Page 25: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/25.jpg)
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.
![Page 26: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/26.jpg)
quadratic equation
quadratic
equation
quadratic
equation
An equation of degree 2,
which has at most two
solutions
![Page 27: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/27.jpg)
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)
![Page 28: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/28.jpg)
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.
![Page 29: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/29.jpg)
ratio
ratio
ratio
Comparison of two
quantities by division and
may be written as r/s, r:s, or
r to s
![Page 30: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/30.jpg)
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
![Page 31: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/31.jpg)
rational expression
rational
expression
rational
expression
A quotient of two
polynomials with a non‐zero denominator
![Page 32: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/32.jpg)
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.
![Page 33: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/33.jpg)
ray
ray
ray
A ray begins at a
point and
goes on forever
in one direction
![Page 34: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/34.jpg)
reflection
reflection
reflection
A transformation that "flips" a
figure over a line of reflection
![Page 35: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/35.jpg)
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.
![Page 36: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/36.jpg)
regular polygon
regular
polygon
regular
polygon
A polygon that is both
equilateral and
equiangular
![Page 37: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/37.jpg)
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
![Page 38: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/38.jpg)
root
root
root
The x-values where the
function has a value of
zero
![Page 39: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/39.jpg)
rotation
rotation
rotation
A transformation that turns a figure
about a fixed point through a given
angle in a given direction.
![Page 40: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/40.jpg)
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.
![Page 41: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/41.jpg)
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.
![Page 42: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/42.jpg)
sample space
sample
space
sample
space
The set of all
possible
outcomes from an
experiment
![Page 43: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/43.jpg)
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
![Page 44: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/44.jpg)
secant line
secant line
secant line
A line in the plane of a circle
that intersects a circle at
exactly two points
![Page 45: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/45.jpg)
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
![Page 46: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/46.jpg)
sector
sector
sector
The region bounded by
two radii of the circle and
their intercepted arc
![Page 47: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/47.jpg)
set
set
set
A collection of numbers,
geometric figures, letters,
or other objects that have
some characteristic in
common
![Page 48: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/48.jpg)
similar figures
similar
figures
similar
figures
Figures that have the
same shape but not
necessarily the same
size
![Page 49: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/49.jpg)
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.
![Page 50: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/50.jpg)
skew lines
skew lines
skew lines
Two lines that do not
lie in the same plane
(therefore, they cannot
be parallel or intersect).
![Page 51: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/51.jpg)
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
![Page 52: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/52.jpg)
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:
( ) ( )
![Page 53: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/53.jpg)
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
![Page 54: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/54.jpg)
supplementary angles
supplementary
angles
supplementary
angles
Two angles
whose sum
is 180 degrees.
![Page 55: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/55.jpg)
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
![Page 56: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/56.jpg)
transformation
transformation
transformatio
n
The mapping, or movement, of all the
points of a figure in a plane according
to a common operation
![Page 57: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/57.jpg)
translation
translation
translation
A transformation
that "slides" each
point of a figure
the same distance
in the same
direction
![Page 58: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/58.jpg)
transversal
transversal
transversal
A line that crosses
two or more lines
![Page 59: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/59.jpg)
trinomial
trinomial
trinomial
An algebraic expression
with three unlike terms
![Page 60: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/60.jpg)
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
![Page 61: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/61.jpg)
Venn diagram
Venn
diagram
Venn
diagram
A picture that illustrates
the relationship between
two or more sets
![Page 62: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/62.jpg)
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
![Page 63: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/63.jpg)
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)
![Page 64: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/64.jpg)
vertical angles
vertical
angles
vertical
angles
Two nonadjacent angles formed
by intersecting lines or segments
![Page 65: Analytic Geometry Vocabulary Cards and Word Walls](https://reader036.vdocuments.net/reader036/viewer/2022081404/6292da3385fd9e7f047b1bf6/html5/thumbnails/65.jpg)
whole numbers
whole
numbers
whole
numbers
The numbers 0, 1, 2, 3, …