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If PQRS is a rhombus, which statements must be true? Check all that apply.

A. ∠PQR is supplementary to ∠QPS.
B. PS is parallel to QR.
C. PQRS is a quadrilateral.
D. ∠QPS is supplementary to ∠QRS.
E. PRQS is a cyclic quadrilateral.

Answer :

Final answer:

In a rhombus, PS is parallel to QR, QPS is supplementary to 2 QRS, and the vertices are labeled in consecutive order.


Explanation:

If PQRS is a rhombus, the following statements must be true:

  • B. PS is parallel to QR. In a rhombus, opposite sides are parallel.
  • D. QPS is supplementary to 2 QRS. In a rhombus, the sum of adjacent angles is always 180 degrees.
  • E. PRQS. The vertices of a rhombus are always labeled in consecutive order.

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