Question

Which statement can be used to prove that a given parallelogram is a rectangle?

Answer 1

The correct answer is:

The diagonals of the parallelogram are congruent.

Explanation:

In every parallelogram, opposite angles are congruent. This would not mean it is a rectangle.

Consecutive sides of a parallelogram are only congruent if the parallelogram is a rhombus or a square; this would not be a rectangle.

The diagonals of every parallelogram bisect each other. This would not mean it is a rectangle.

The diagonals of a rectangle bisect each other. If we know this is true about our parallelogram, this means our parallelogram is a rectangle.

Answer 2

The correct answer of the given question above would be the last option. The statement that can be used to prove that a given parallelogram is a rectangle is the diagonals of the parallelogram are congruent. A rectangle is a parallelogram with four right angles. Hope this answer helps.