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The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E

What additional Information is sufficient to prove that parallelogram ABCD is also a rhombus?

The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E What additional Information is sufficient to prove that parallelogram ABCD class=

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Answer:

  D.  AC ⊥ BD

Step-by-step explanation:

Given that  ABCD is a parallelogram, we already know A (BD bisects AC) and B (AB ║ CD). Statement C (AC ≅ BD) will not be true for a parallelogram or rhombus.

Statement D (AC ⊥ BD) guarantees the parallelogram is a rhombus.