Based on the vertices of quadrilateral PQRS, we can infer that quadrilateral PQRS is NOT a parallelogram.
Quadrilateral PQRS would be a parallelogram if the sides have the same slope as this would prove that they are parallel.
The slope of PQ is:
= (6 - 5) / (6 - 4)
= 1/2
The slope of RS is:
= (2 - 4) / (7 - 9)
= -2 / -2
= 1
The slopes are not the same so quadrilateral PQRS is NOT a parallelogram.
Find out more on paralellograms at https://brainly.com/question/1834702.
#SPJ1
Answer: The quadrilateral is not a parallelogram.
Step-by-step explanation:
I am given that the vertices of quadrilateral PQRS are P(4,5), Q(6,6), R(9,4) and S(7,2). The slope formula applied to each pair of adjacent vertices gives the slopes of the sides:
slope of PQ= 1/2
slope of QR= -2/3
slope of RS= 1
slope of SP= -1
Since each side has a different slope, none of the sides are parallel. So quadrilateral PQRS is not a parallelogram.
