contestada

Which statement proves that parallelogram KLMN is a rhombus?
d. The slope of KM is 1 and the slope of NL is -1.
The midpoint of both diagonals is (4 1/2, 5 1/2), the slope of RP is 7, and the slope of SQ is -1/7

Respuesta :

Answer: D is  the right answer .The slope of KM is 1 and the slope of NL is –1.

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.]

Slope of  KM= 1

Slope of NL= -1

Product of slope of diagonals=1×-1=-1

∴diagonals of given parallelogram perpendicularly bisect each other.

Therefore, it is a rhombus.

learn more about of rhombus here

https://brainly.com/question/5017197

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