Quadrilateral PQRS has vertices P(-2,4) Q(0,5) R(1,4) and S(-2,3). Determine if quadrilateral PQRS is a rectangle

Answer:
No, quadrilateral PQRS is not a rectangle. The opposite sides are not parallel
Step-by-step explanation:
we know that
A rectangle is a quadrilateral that has opposite sides parallel and congruent and its internal angles are right angles
we have
vertices P(-2,4) Q(0,5) R(1,4) and S(-2,3)
using a graphing tool
Plot the vertices to better understand the problem
Observing the figure , the opposite sides are not parallel
therefore
Is not a rectangle