Question

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

The opposite angles of the parallelogram are congruent.

The consecutive sides of the parallelogram are congruent.

The diagonals of the parallelogram bisect each other.

The diagonals of the parallelogram are congruent.

Answer 1

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.

Answer 2

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.