Formulas, Definitions, and Theorems
Corresponding angles are equal in measurement and corresponding
sides are proportional.
all three angles measure 60 degrees and all three sides are
>< are congruent.
angles add to 180 degrees.
angles add to 90 degrees.
Area of a square:
Slope of a line:
) = m
Equation of a line:
y = mx + b, where m is the slope and b is the y
The sum of the
interior angles of a polygon
2) x 180, where n = the number of
y is directly proportional to x if y = kx, for some constant k.
y is inversely proportional to x if
y = k/x, for some constant k.
difference of two squares
b^2 = (a + b)(a
of (x + y)^2 = x^2 + 2xy + y^2
exponents to roots
: x^(1/2) = √x and x^(1/3) =
Numbers & Operations
Sum of Consecutive Integers:
x + (x+1) + (x+2) + (x+n), where (x+n) represents the last
= rate x time
a% of n = a/100 x n
original amount x 100%
a number that can be expressed as a ratio of two integers
a number that cannot be precisely expressed as a fraction or decimal
(ex. √2, √3,
the set of values for which a function is
defined. For the function y = f(x), the
domain is the set of all x values for which f(x) is defined.
the set of outputs, or results, of the function. For the function y = f(x), the range
is the set of all possible y values.
The number of ways to organize r out of n different objects (order matters)
The number of combinations of r out of n different objects (order does not
matter) = n!/[(n
sum of al
l data points/total number of data points