analytic geometry vocabulary cards and word walls
TRANSCRIPT
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, …