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Polygons in the Coordinate Plane

Polygons in the Coordinate Plane. 1. Techniques. 2. Examples. 3. Practice Problems. Distance Formula. Used to determine: Sides are congruent Diagonals are congruent. Midpoint Formula. Used to determine: Coordinates of the midpoint of a side Whether diagonals bisect each other.

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Polygons in the Coordinate Plane

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  1. Polygons in the Coordinate Plane 1 Techniques 2 Examples 3 Practice Problems

  2. Distance Formula • Used to determine: • Sides are congruent • Diagonals are congruent

  3. Midpoint Formula • Used to determine: • Coordinates of the midpoint of a side • Whether diagonals bisect each other

  4. Slope Formula • Used to determine: • Opposite sides are parallel • Diagonals are perpendicular • Sides are perpendicular

  5. Tips for Solving • Draw a sketch (plot points) • This helps define sides • The product of perpendicular slopes is -1 • Congruent slopes show sides are parallel

  6. Example 1

  7. Example 2

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