Answer:
Rectangle
Step-by-step explanation:
Slope of line = change in y ÷ change in x
Slope of line AB = [tex]\dfrac{1-4}{8-3}=-\dfrac35[/tex]
Slope of line BC = [tex]\dfrac{-9-1}{2-8}=\dfrac53[/tex]
Slope of line DC = [tex]\dfrac{-9+6}{2+3}=-\dfrac35[/tex]
Slope of line AD = [tex]\dfrac{-6-4}{-3-3}=\dfrac53[/tex]
As slope of AB = slope of DC ⇒ AB is parallel to DC
As slope of BC = slope of AD ⇒ BC is parallel to AD
As the slope of AB (and DC) is perpendicular to BC (AD) then all interior angles = 90°
Therefore, quadrilateral is a rectangle.
