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  1. Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle?

A.Diagonals are perpendicular.

BDiagonals are congruent.
CAll sides are congruent.
DThe length of a diagonal is equal to the length of a side.

  1. Which of the following conditions or set of conditions is sufficient for a parallelogram to be a square?
ADiagonals are perpendicular, and diagonals are congruent.
BDiagonals are congruent.
CAll sides are congruent.
DThe length of a diagonal is equal to the length of a side.

Verified Answer :

metchelle
  1. The condition or set of conditions must be met for a parallelogram to be a rectangle would be diagonals are congruent. The answer would be letter B.
    3. The condition or set of conditions is sufficient for a parallelogram to be a square would be that diagonals are perpendicular, and diagonals are congruent. The answer would be letter A.

The correct answers are:

#2) B) Diagonals are congruent; and

#3) A) Diagonals are perpendicular, and diagonals are congruent.

Explanation:

A parallelogram has the property that diagonals bisect each other. In a rectangle, the diagonals are also congruent.

In a square, not only are the diagonals congruent, but they are also perpendicular to one another.

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