Example 2

Quadrilateral has vertices , , , and . Using slope, distance, and/or midpoints, classify quadrilateral as a rectangle, rhombus, square, trapezoid, isosceles trapezoid, or kite.
  1. Graph the quadrilateral.
  2. Calculate the slopes of the sides to determine if the quadrilateral is a parallelogram.
  3. Examine the slopes of consecutive sides to determine if the sides are perpendicular.
  4. Calculate the lengths of the sides.
  5. Summarize your findings.
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