Question

Which statements describe a parallelogram that must be a rhombus?
Select each correct answer.
1.parallelogram with congruent diagonals
2.parallelogram with a right angle
3.parallelogram with perpendicular diagonals
4.parallelogram with opposite sides congruent
5.parallelogram with a pair of congruent consecutive sides​

Answer 1

Answer:

3 and 5.

Step-by-step explanation:

A parallelogram which is a rhombus has perpendicular diagonals.

Also a parallelogram which is a rhombus has a pair of congruent consecutive sides.

Answer 2

Options 3 and 5 are correct answers.

We need to find from the given options which statements describe a parallelogram that must be a rhombus.

What are the properties of a rhombus?

The properties of a rhombus are as follows:

• Opposite angles are congruent or equal.
• The opposite sides are equal and parallel.
• Diagonals bisect each other and are perpendicular to each other.
• The sum of any two adjacent or consecutive angles is 180°.

Now, a parallelogram which is a rhombus has perpendicular diagonals.

Also, a parallelogram which is a rhombus has a pair of congruent consecutive sides.

Therefore, options 3 and 5 are correct answers.

To learn more about the rhombus visit:

https://brainly.com/question/27870968.

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