Question

If PQRS is a rhombus, which statements must be true

Answer 1

Answer:

(B), (D) and (F)

Step-by-step explanation:

We know that a rhombus has all the properties of the parallelogram, thus

We have opposite sides of the rhombus equal and parallel, therefore option B that is PQ≅RS is true because opposite side of the rhombus is equal and option F is true that is PS is parallel to QR because opposite sides are also parallel in rhombus.

Also, ∠PQR is supplementary to ∠QPS using the supplementary angles property in the given rhombus.

Hence, option D is also correct.

Answer 2

Answer:

B, D, E and F are correct.

Step-by-step explanation:

B - PQ is parallel to RS. This is true as opposite sides of a rhombus are parallel.

D - PQR is supplementary to QPS. Two angles are supplementary when they add up to 180 degrees.

E - PR is perpendicular to QS. This is true because the diagonals of a rhombus bisect each other at right angles.

F - PS is parallel to QR. This is true as opposite sides of a rhombus are parallel.