Asymptotes
An asymptote is, essentially, a line that a graph approaches, but does not
intersect. For example, in the following graph of y=1/x, the line approaches
the xaxis (y=0), but never touches it. No matter how far we go into infinity,
the line will
Domain and Range


The domain of a function is the set of all possible input values (usually x), which
allows the function formula to work.
o Most often a function's domain is all real numbers. Consider a simple
linear equation like the graph shown belo
Basic Traits of a Triangle:
1.
2.
3.
4.
5.
6.
A triangle is a polygon with three sides and three angles.
The longest side is the hypotenuse. The other sides are known as legs.
The sum of all three angles is 180 degrees.
An equilateral triangle has three s
Parallelograms
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Special relationships
are a reality between the measures of consecutive angles, opposite angles and opposite sides of a
parallelogram. The square is the
trapezoid
is a quadrilateral with only one pair of parallel sides. As shown in the picture below, the parallel sides of
trapezoid ABCD are called bases and the sides that are not parallel are called legs.
Facts About Trapezoids
In trapezoid ABCD:
(1) The
distance formula to learn the distance between any two points in space. Suppose you need
to determine the distance between the points (2,0) and (5,0). Here's how they look on a
graph:
With just a quick glance, you can tell they are 3 units apart. They're
Parallel Lines
Lines that are in the same plane and do not touch and/or meet are called parallel lines. The notation for
is read: "line AB is parallel to line CD." These lines will continue on forever without
crossing.
When two lines are cut by another li
As the pictures below reveal, alternate interior angles form what appears to be a Zshape and corresponding
angles form what appears to be an Fshape:
Properties of Parallel Lines
(1) If two lines are cut by a transversal, pairs of acute angles are equal
Triangle Inequalities
In any triangle we can find the following to be true:
(1) The length of each side is less than the sum of the lengths of the other two sides and
greater than the difference between these lengths.
(2) Sides that are not equal are loca
A circle is a shape with all points the same distance from the center. It is named by the center. The
circle to the left is called circle A since the center is at point A. If you measure the distance around a
circle and divide it by the distance across th