Question 1133574: In the diagram, quadrilateral JKLM is a parallelogram. Which statement proves parallelogram JKLM is a rectangle?
A. the midpoint of JL and KM is (1,1)
B. the slope of JM and KL is 0
C. JL=KM=radical 52
D. JK=LM=12
The coordinates are: J(-2,3) K(4,3) M(-2,-1) L(4,-1) and N(1,1)-midpoint
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! one of the properties of a rectangle is that the diagonals are congruent.
selection C is the right choice because one of the properties of a rectangle is that the diagonals are congruent.
if you calculate the length of JL and KM, you will find that their length are each equal to square root of 52.
this makes them congruent which makes the figure a rectangle.
here's a reference that includes properties of a rectangle.
https://mathbitsnotebook.com/Geometry/Quadrilaterals/QDproperties.html
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