Question

A parallelogram MNOP will be a rectangle when diagonals MO and NP _____?
1) are equal
2) are perpendicular
3) bisect each other
4) intersect at an angle of 45°

Answer 1

Answer:

are equal

Step-by-step explanation:

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Answer 2

Given: A parallelogram MNOP will be a rectangle when diagonals MO and NP _____?

To find: The correct answer for the blank

Solution: A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles are equal in a parallelogram. The diagonals of a parallelogram bisect each other.

Whereas, a rectangle is a quadrilateral in whcih all angles are right angles. A rectangle is a parallelogram as:

• Its opposite sides are equal and parallel.

• Its diagonals bisect each other.

Hence, the parallelogram MNOP will be a rectangle when diagonals MO and NP are equal and bisect each other.

Therefore, it needs to satisfy two of the given options.

Answer: 1) equal

              2) bisect each other