Question

Which statement proves that parallelogram KLMN is a rhombus?

The midpoint of both diagonals is (4, 4).
The length of KM is and the length of NL is .
The slopes of LM and KN are both and NK = ML = .
The slope of KM is 1 and the slope of NL is –1

Answer 1

The slope of KM is 1 and the slope of NL is –1

Explanation:

Answer 2

It is the last option.

Explanation:

The diagonals of a rhombus (KM and NL ) are perpendicular. That is shown by the diagonals having slopes of 1 and -1.

Recall that when 2 lines are perpendicular then m1 * m2 = -1 , where m1 and m2 are the slopes of the lines.