Question

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

The consecutive angles of the parallelogram are supplementary.

The diagonals of the parallelograms are congruent.

The diagonals of the parallelogram are perpendicular.

All the sides of the parallelogram are equal in measure.

Answer 1

option-D

Explanation:

We know that

all angles of rectangle are equal and 90 degree

But all angles of parallelogram is not necessarily equal

so, when all angles are equal in parallelogram

Then that parallelogram can be become rectangles

Because opposite sides in both parallelogram and rectangles are always equal

so,

option-D

Answer 2

Answer: The diagonals of the parallelograms are congruent.

Explanation:

To solve this exercise you must keep on mind the properties of a rectangle, which are shown below:

- The angles of a rectangle measure 90 degrees.

- The diagonals of a rectangle are congruent, which means that they have equal length.

- The diagonals of a rectangle bisect each other.

Therefore, keeping the information above on mind, you can conclude that the statement that can be used to prove that a given parallelogram is a rectangle, is: The diagonals of the parallelograms are congruent.