Answer: D is  the right answer.The slope of KM is 1 and the slope of NL is –1.
Step-by-step explanation:
A rhombus is a parallelogram whose all sides are equal. Its diagonals perpendicularly bisect each other.
i.e. product of its slope should be -1.
[∵if one line is perpendicular to the other lines then product of its slope should be -1.]
In diagram
Slope of  KM=[tex]\frac{7-1}{7-1}=\frac{6}{6}=1[/tex]
Slope of NL=[tex]\frac{5-3}{3-5}=\frac{2}{-2}=-1[/tex]
Product of slope of diagonals=1×-1=-1
∴diagonals of given parallelogram perpendicularly bisect each other.
Therefore,it is a rhombus.
