Final answer:
Without additional context or a diagram, it's challenging to directly link the values u=8 and v=12 to the properties of a parallelogram. Typically, to prove a quadrilateral is a parallelogram, one must demonstrate that opposite sides are equal and parallel, opposite angles are equal, or that diagonals bisect each other. However, just having u and v values isn't enough to determine that PQRS is a parallelogram.
Step-by-step explanation:
To determine if PQRS is a parallelogram given the variables u=8 and v=12, we have to recall the properties that characterize a parallelogram. A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel and equal in length. Without additional context or a diagram, it's challenging to apply the values of u and v directly. However, here are the properties that can show PQRS is a parallelogram:
In this scenario, to prove PQRS is a parallelogram using u and v, we would typically associate these values with the length of the sides or the diagonals. For example, if u and v represented the lengths of opposite sides, then setting u equal to v would imply those sides are equal and suggest that PQRS may be a parallelogram according to its properties. However, without a specific diagram or additional information linking u and v to the sides or angles of PQRS, we cannot conclusively determine that PQRS is a parallelogram solely based on the given numerical values of u and v.