The correct statement proves that parallelogram KLMN is a rhombus.
The slope of KM is 1 and the slope of NL is –1.
What is the rhombus?
A rhombus is a parallelogram whose all sides are equal. Its diagonals perpendicularly bisect each other.
If one line is perpendicular to the other lines then the product of its slope should be -1.
The slope of the KM is;
[tex]\rm Slope = \dfrac{7-1}{7-1}\\\\Slope=\dfrac{6}{6}\\\\Slope=1[/tex]
The slope of the KM is 1.
And the slope of NL is;
[tex]\rm Slope =\dfrac{5-3}{3-5}\\\\Slope=\dfrac{2}{-2}\\\\Slope=-1[/tex]
The slope of NL is -1.
Hence, The slope of KM is 1 and the slope of NL is –1.
To know more about Rhombus click the link given below.
https://brainly.com/question/26078375
