UCSS Math II 5.7.2 Example 1

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 opposite sides are parallel.
  3. Examine the slopes of the consecutive sides to determine if they intersect at right angles.
  4. Calculate the lengths of the sides.
  5. Summarize your findings.
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