Verify that parallelogram ABCD with vertices A(-5,-1) B (-9,6) C(-1,5) and D (3,-2) is a rhombus

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Verify that parallelogram ABCD with vertices A(-5,-1) B (-9,6) C(-1,5) and D (3,-2) is a rhombus. do the following

  1. identify the diagonals of the parallelogram
  2. compute the slope of the diagonal
  3. explain how you know the parallelogram is a rhombus