Analytic geometry

Contents
In analytic geometry, also known as coordinate geometry, we think about geometric objects on the coordinate plane. For example, we can see that opposite sides of a parallelogram are parallel by by writing a linear equation for each side and seeing that the slopes are the same.

Distance and midpoints

Find the distance between two points or the midpoint of two points.

Problem solving with distance on the coordinate plane

Use what you know about distance to solve problems on the coordinate plan like finding the perimeter of a shape or determining if a point is on a circle.

Dividing line segments

Think about ratios of lengths of segments between points.

Coordinate plane proofs

Prove properties of shapes by putting them on the coordinate plane and then using distances, midpoints, and slopes.

Equation of a circle

You know that a circle can be viewed as the set of all points that whose distance from the center is equal to the radius. In this tutorial, we use this information and the Pythagorean Theorem to derive the equation of a circle.

Challenge: Distance between a point and a line

An optional tutorial where you'll figure out the minimum distance from a point to a given line.