Perpendicular lines have slopes that are __________.
Negative reciprocals of each other
What is point-slope 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
i = ?
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 ration terms with opposite sides
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?
x-r
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 y-axis 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 x-axis changes the coordinates from (x,y) to ______ and results in the function __________.
(x,-y),
Reflection over the y-axis 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?