Question

Which statements describe a parallelogram that must be a rhombus? parallelogram with four congruent sides parallelogram with opposite sides parallel parallelogram with four congruent angles parallelogram with diagonal that bisects an angle parallelogram with diagonals that bisect each other

Answer 1

This is what i got

Answer 2

The correct option is 1.

Explanation:

Rhombus is a special case of parallelogram.

The properties of a parallelogram and rhombus:

1. Opposite sides parallel and equal.

2. Diagonals bisect each other.

3. Opposite angles are congruent.

The consecutive sides of a parallelogram may or may not be equal. But a rhombus has four congruent sides.

If a parallelogram has four congruent sides, then that parallelogram is known as rhombus.

The required statement that describe a parallelogram must be a rhombus is "parallelogram with four congruent sides ".

Therefore the correct option is 1.