SOLUTION: 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

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
RELATED QUESTIONS
jklm is a parallelogram find the measures of the angle 51... (answered by ikleyn)

Given jklm is a parallelogram. Line JM is congruent to line LN angle LMN is congruent to... (answered by ikleyn)

Parallelogram JKLM has the following coordinates: J(-6, 3), K(-3, 7), L(6, 7), and M(3,... (answered by Boreal)

In Quadrilateral JKLM is a rhombus. If m angle LMK =36, find M angle... (answered by solver91311)

given:JKLM IS A PARALLELOGRAM JM CONGRUENT TO LN ANGLE LMN CONGRUENT TO LNM PROVE:... (answered by hannanelbaneh)

J(-5,2), K(-2,6), L(5,6) and M(2,2) are the coordinates. What is the area of the... (answered by ewatrrr)

The diagonals of a parallelogram JKLM intersect at P. If PM=3x-2, PK=x+3, and PJ=4x-3,... (answered by ikleyn)

A rectancle JKLM is inscribed in an another rectangle ABCD such that the vertices J,K,L... (answered by venugopalramana)

quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement... (answered by mananth)