which of the following conditions or set of conditions must be met of a parallelogram to be a rectangle
A. Diagonals are perpendicular
B. diagonals are congruent
C. all sides are congruent
D. the length of a diagonal is equal to the length of a side
For a parallelogram to be a rectangle, the following conditions must be met:
A. Diagonals are perpendicular.
B. All angles are right angles. (equivalent to saying the diagonals bisect each other perpendicularly)
C. All sides are congruent. (equivalent to saying opposite sides are congruent)
D. The length of a diagonal is equal to the length of a side. (equivalent to saying the diagonals are congruent)
So, the correct answer is:
A. Diagonals are perpendicular.