1. Rectangular Coordinates
Objectives:
Use the Distance Formula
Use the Midpoint Formula

2. Rectangular or Cartesian coordinate system
The plane formed by the x-axis and y-axis is the xy-plane.
Any point in the xy-plane is an
Ordered pair
The coordinate axes divide the
xy-plane into four sections called
Quadrants

3. Distance between Points
Distance formula:
EX: Find the distance between the two points. 1. 2.

4. Using Algebra to Solve Geometry Problems
Plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area.

5. Midpoint of a Line Segment
Midpoint Formula:
EX: Find the midpoint of the line segment joining the two points 1. 2.