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.