Question

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

3. Which of the following conditions or set of conditions is sufficient for a parallelogram to be a square? (1 point)
A. Diagonals are perpendicular, and diagonals are congruent.
B. Diagonals are congruent.
C. All sides are congruent.
D. The length of a diagonal is equal to the length of a side.

Answer 1

1.
A. Nope. When the diagonals are perpendicular to each other, it's a square.
B. Yes.
C. Nope. Would be a square.
D. Nope. If you try, you will never form a rectangle or a parallelogram (see: Pythagorean's theorem)

2.
A. Yes.
B. No. All rectangles have congruent diagonals.
C. No. It could form a rhombus or a square.
D. See answer D from question 1