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

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Presentation transcript:

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

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

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

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.

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