# Analytic Geometry

## Apply Slope, Midpoint, and Length Formulas

This section shows you how to apply geometry and algebra to a variety of problems. Many of these problems involve several steps that require different skills. Developing a problem solving process is particularly important for dealing with such problems. These four steps can help you solve any multi-step problems: 1. Understand…

## Right Bisector of a Two Lines

In this section, we will learn how to create an equation that represents the right bisector. A right bisector is a line that passes through the midpoint of a line at 90 degrees; it is sometimes called a perpendicular bisector. Given that it is a line, all lines can be represented in form: y…

## Median of a Triangle

A median of a triangle is a line segment (shown in red) joining any vertex (corner) to the midpoint of the opposing side, bisecting it. We learned in the previous lesson what the midpoint means for a line. Every triangle has exactly three medians, one from each vertex, and they all intersect each other…

## Equation for a Circle

The standard equation for a circle centered at the origin is x² + y² = r², where r represents the radius. I’ve decided to include this concept into the unit because it turns out that the standard formula of a circle is derived from the distance formula you learned earlier. Take,…

## Length of a Line Segment

So far we’ve looked at examples involving the midpoint of a line segment. In this lesson, we will learn how to find the length of any line segment using the distance formula – a formula derived from the Pythagorean theorem – and how we can use it to compare distances in a map.…

## Midpoint of a Line Segment

The midpoint of a line is the point that divides a line segment into two equal line segments. In other words, if you have a line graphed of known length, the MIDdlePOINT outlines the coordinates of the halfway point along that line’s length. The following video will show you have to calculate…