Rectangular Coordinates

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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.