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Parallel lines have slopes that are _______.
equal

What is standard form for a linear equation?
Ax + By = C where A is not negative

Perpendicular lines have slopes that are __________.
Negative reciprocals of each other

What is pointslope form for a linear equation?

For inequalities, reverse the inequality symbol when ________.
multiplying or dividing by a negative number

What is the binomial theorem formula?
 where

= ____
a. When a is positive and k is even?
b. When a is positive and k is odd?
c. When a is negative and k is even?
d. When a is negative and k is odd?
e. When a is zero?
 a. positive
 b. positive
 c. imaginary
 d. negative
 e. zero


To rationalize the denominator of a fraction you should _______________.
multiply by the form of 1 needed to make the denominator a perfect power.

When the denominator is a binomial containing a radical expression, the form of 1 used to rationalize is called the ________.
conjugate

The conjugate used to rationalize a binomial denominator has the
A. same rational terms
B. reciprocal rational terms with opposite signs
C. reciprocal rational terms
D. same rational terms with opposite signs
D. same ration terms with opposite sides (this multiple choice question has been scrambled)

Formula to factor the difference of perfect cubes:

Formula to factor the sum of perfect cubes:

Formula for factoring in pairs:

For any polynomial P(x) with root=r, what is one known factor?
xr

Formula for the quadratic equation?

is called the ______________.
discriminant

If the discriminant of a polynomial is positive the resulting roots are ________.
2 real, unequal roots

If the discriminant of a polynomial is zero, the resulting roots are __________.
1 real root

If the discriminant of a polynomial is negative, the resulting roots are _________.
2 complex roots

The shape of the graph for is a __________.
parabola

The formula for the axis of symmetry for a parabola is ________.

If a>0, a parabola opens ___________.
upward

If a<0, a parabola opens ____________.
downward

What are the 2 components of a vector?
magnitude and direction

For a vector multiplied by a scalar,

Multiplying vector coordinates by a scalar changes the ___________ of the vector.
magnitude



For a function, the set of all input values is called the __________.
domain

For a function, the set of all output values is called the ___________.
range

To determine if the inverse of a function is a function, use the _______________.
horizontal line test

A function that is symmetric about the yaxis is said to be _________.
even

A function that is symmetric about the origin is said to be __________.
odd

If a function is even,

If a function is odd, f

Rotation 90^{o} about the origin, changes the coordinates (x,y) to _________.
(y,x)

Rotation 180^{o} about the origin, changes the coordinates (x,y) to _________.
(x,y)

Rotation 270^{o} about the origin, changes the coordinates (x,y) to _________.
(y,x)

Reflection over the xaxis changes the coordinates from (x,y) to ______ and results in the function __________.
(x,y),

Reflection over the yaxis changes the coordinates from (x,y) to _____ and results in the function _________.
(x,y),

Reflection over the axis y=x changes the coordinates (x,y) to _____ and results in the function __________.
(y,x),

Horizontal translation of a graph by changes the coordinates from (x,y) to ________ and the function to ________.
(x+h,y),

Vertical translation of a graph by changes the coordinates from (x,y) to ________ and the function to ________.
(x,y+k),

Vertical dilation of a graph by factor a changes the coordinates from (x,y) to _________ and results in the function _______.
(x, ay),

Horizontal dilation of a graph by factor a changes the coordinates from (x,y) to _________ and results in the function _______.
(ax, y),

Angles of equal measure are said to be _________.
congruent

A ray _________ an angle as the ray divides the angle into 2 congruent angles.
bisects

Any point on a perpendicular bisector is ___________ from the ends of the segment.
equidistant

Angles that sum to 90^{o} are said to be _______.
complementary

Angles that sum to 180^{o} are said to be ___________.
supplementary

Triangles with no equal sides are called _________.
scalene

Triangles with 2 equal sides are called ______.
isosceles

The unequal side of an isosceles triangle is called the _______.
base

Triangles with 3 equal sides (and 3 equal angles) are called _______.
equilateral

A(n) ______ triangle has 1 angle greater than 90^{o}.
obtuse

A(n) _____ triangle has 3 angles less than 90^{o}.
acute

A(n) ______ triangle has a 90^{o} angle.
right

The line segment from a vertex of a triangle perpendicular to the opposite side is called a(n) _________.
altitude

The line segment from a vertex of a triangle to the midpoint of the opposite side is called the _______.
median

A line that bisects a triangle side and is perpendicular to the side is called a(n) __________.
perpendicular bisector

The line segment that joins the midpoints of 2 sides of a triangle is called the _______.
midline

The midline creates a line that is _______ the size of the 3rd side.
half

Formula for the pythagorean theorum = ?

A line that intersects 2 or more coplanar lines is called a(n) ________ line.
transversal

Name the corresponding angles in the image below:
5 & 7; 1 & 3; 6 & 8; 2 & 4

Name the alternate interior angles in the image below:
6 & 3; 2 & 7

Name the alternate exterior angles in the image below:
1 & 8; 4 & 5

Name the consecutive interior angles in the image below:
6 & 7; 2 & 3

Name the consecutive exterior angles in the image below:
5 & 8; 1 & 4

For parallel lines crossed by a transversal what 2 types of angles are supplementary?
consecutive exterior; consecutive interior

For parallel lines crossed by a transversal, which angles are congruent?
corresponding angles, alternate interior angles, alternate exterior angles

Any two tangent lines of a circle that meet at point P are _______.
congruent

The radius that extends from the center of the circle to the point of tangency is _________ to the tangent.
perpendicular

A _________ line intersects a circle at 2 points.
secant

A _____ joins 2 points on a circle.
chord

The _________ of a circle is the chord that passes through the center point.
diameter

For an angle with a vertex on a circle, the measure of the angle is equal to _________.
1/2 the measure of the arc created

For an angle with a vertex inside a circle, the measure of the angle is equal to ________.
1/2 the sum of the arcs created

For an angle with a vertex outside a circle, the measure of the angle is equal to __________.
1/2 the difference of the arcs create.

State the relationship between the lengths of the chords shown.

State the relationship between the tangent and the secant of the circle shown above.

State the relationship between the 2 secants drawn in the circle above.

The formula for the sum of the internal angles for a polygon = ?
(n2)180^{o }where n = number of sides

The sum of the internal and external angles of a polygon = ?
180n

The sum of the exterior angles of a polygon = ?
360^{o}

For equiangular polygons, an exterior angle = ?

For equiangular polygons, an interior angle = ?

Polygons in which all corresponding internal angles and corresponding sides are congruent are said to be _________.
congruent

Name 5 methods used to prove 2 triangles are congruent.
SSS, SAS, ASA, AAS, HL

Name 3 methods used to prove 2 polygons are similar.
SSS, SAS, AA

circumference of a circle = ?

Formula for the length of an arc = ?






Rhombus: A=?
or




The line from the center of a regular polygon perpendicular to a side is called a(n) _______________.
apothem




Right cylinder:
LA=?
TA=?


Right pyramid:
LA=?
TA=?
 sum of areas of triangular faces






If a figure is dilated by factor , surface area is dilated by factor _______ and volume is dilated by factor ___________.

For the conditional statement p ⇒ q:
converse = ?
inverse = ?
contrapositive = ?

Distance between 2 points formula: d=?

distance between a point (x,y) and a line (Ax+By=C):
d=?


What is the standard formula for the equation of a circle?
 where:
 center = (h, k) and radius = r

What is the standard form of an ellipse with a horizontal major axis?
 where:
 center = (h,k)
 a>b;
 Foci: (h+c, k) and (hc, k)

What is the standard form of an ellipse with a vertical major axis?
 where:
 center = (h,k)
 a>b;
 Foci: (h, k+c) and (h, kc)

What is the standard form of a parabola that opens upward?
 where:
 focus: (h, k+c)
 vertex: (h,k)
 directix: y= kc
 axis: x=h

What is the standard form of a parabola that opens downward?
 where:
 focus: (h,kc)
 vertex: (h,k)
 directix: y=k+c
 axis: x=h

What is the standard form of a parabola that opens to the right?
 where:
 focus: (h+c, k)
 vertex: (h,k)
 directix: x=hc
 axis: y=k

What is the standard form of a parabola that opens to the left?
 where:
 focus: (hc, k)
 vertex: (h,k)
 directix: x=h+c
 axis: y=k

What is the standard form of a hyperbola with a horizontal focal axis?
 where:
 center: (h,k)
 difference between vertices: 2a
 Foci: (h+c, k) and (hc, k)
 Fund. rectangle coord.:

What is the standard form of a hyperbola with a vertical focal axis?
 where:
 center: (h,k)
 difference between vertices: 2a
 Foci: (h, k+c) and (h, kc)
 Fund. rectangle coord.:

Rotation of an image 90^{o} counterclockwise about the point of rotation changes (x,y) to ____.
(y,x)

Rotation of an image 180^{o} counterclockwise about the point of rotation changes (x,y) to ____.
(x,y)

Rotation of an image 270^{o} counterclockwise about the point of rotation changes (x,y) to ____.
(y,x)

Reflection of an image across the xaxis changes (x,y) to _____.
(x,y)

Reflection of an image across the yaxis changes (x,y) to _____.
(x,y)

Reflection of an image across the line y=x changes (x,y) to _____.
(y,x)

Dilation by a factor <1 _______ the image.
shrinks

Dilation by a factor >1 _________ the image.
enlarges

The xcoordinate is also referred to as the ______.
abscissa

The ycoordinate is also referred to as the ________.
ordinate

360^{o} = _____ radians
2π

For θ=0:
sin θ = ?
cos θ = ?
tan θ = ?

For θ=30^{o}:
sin θ = ?
cos θ = ?
tan θ = ?

For θ=45^{o}:
sin θ = ?
cos θ = ?
tan θ = ?
1

For θ=60^{o}:
sin θ = ?
cos θ = ?
tan θ = ?

For θ = 90^{o}:
sin θ = ?
cos θ = ?
tan θ = ?

For θ = 180^{o}:
sin θ = ?
cos θ = ?
tan θ = ?

For θ = 270^{o}:
sin θ = ?
cos θ = ?
tan θ = ?

According to the quotient identity:

According to the quotient identity:




This is a graph of the _____ function.
sin

This is a graph of the ______ function.

This is a graph of the _____ function.

This is a graph of the ______ function.

This is a graph of the _____ function.

This is a graph of the _____ function.

This is a graph of the _____ function.
arcsin

This is a graph of the ______ function.
arccos

This is a graph of the _______ function.
arctan

This is a graph of the ________ function.
arccsc

This is a graph of the ________ function.
arcsec

This is a graph of the _______ function.
arccot


 "sum"thing switches

 "opposite"



Mean

Median
 Middle number when values are arranged from smallest to largest.
 If there are an even number of values the mean of the middle 2 is taken.
 The median is a better measure than mean if data contains outliers.

Mode
number(s) that occur(s) most frequently in a data set

What are the best measures of spread for symmetric data sets?
standard deviation, variance

What is the best measure for spread for data with outliers?
interquartile range


Standard deviation: s = ?

A 5 number summary contains:
 minimum
 maximum
 median (Q_{2})
 Q_{1}
 Q_{3}

Interquartile range = ?
Q_{3}  Q_{1}

Outliers are values < __________ or > _________.

In a box and whisker plot, the boundaries of the box represent _______.
Q_{1} and Q_{3} with the median line in between

In a box and whisker plot, the "whiskers" represent the _________.
minimum and maximum


Changing the units of a set of data results in ________.
a change in the center and spread by a ratio of the multiplier

Adding or subtraction a constant to the values of a set of data changes ________.
the center but not the spread

Analysis of a scatter plot should include these 3 characteristics:
 shape (linear/nonlinear)
 direction (+ or  slope)
 strength (strong/weak)

Correlation coefficient: r = ?

For the correlation coefficient, r, interpret the following results:
r = 1
r = 0
r = 1
 perfect line
 no correlation
 perfect line

Linear regression:

Name 5 types of random samples.
 simple random
 stratified random (homogeneous)
 cluster (heterogeneous)
 multistage
 systematic random

For independent events:

For dependent events:

For the probability of M, N, or both M & N:

Permutations (when Position matters):
 where:
 n = number of things to choose from
 r = number chosen

Combinations (order doesn't matter):
 where:
 n = number of things to choose from
 r = number chosen

Combinations with repetition:

Sequences in which the difference between sums is constant is called ________.
arithmetic

Arithmetic sequence:

Sequences in which there is a constant ratio between terms are called __________.
geometric

Geometric sequence:

Change of base formula:
For

