Question

Parallelogram PQRS has diagonals that are perpendicular. Based on that, which statement is most correct?

A- Parallelogram PQRS is also a rectangle

B- Parallelogram PQRS is also a rhombus.

C- Parallelogram PQRS is neither a rectangle nor a rhombus.

D- Parallelogram PQRS is both a rectangle and a rhombus, so it is a square.

Answer 1

B- Parallelogram PQRS is also a rhombus.

Explanation:

Hope this helps

Answer 2

B- Parallelogram PQRS is also a rhombus.

Explanation:

Given

Parallelogram PQRS with perpendicular diagonals

Required

Which of the option is true

(a) PQRS can be a rectangle

A rectangle do not have perpendicular diagonals.

Hence, (a) is false

If (a) is false, then (d) is also false

(b) PQRS can a rhombus

The diagonals of a rhombus are not perpendicular.

So (b) is true

No need to check for (c), since only option is true