On a coordinate plane, parallelogram k l m n shown. point k is at (7, 7), point l is at (5, 3), point m is at (1, 1), and point n is at (3, 5). which statement proves that parallelogram klmn is a rhombus? the midpoint of both diagonals is (4, 4). the length of km is startroot 72 endroot and the length of nl is startroot 8 endroot. the slopes of lm and kn are both one-half and nk = ml = startroot 20 endroot. the slope of km is 1 and the slope of nl is –1.

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17-05-2022
Mathematics

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On a coordinate plane, parallelogram k l m n shown. point k is at (7, 7), point l is at (5, 3), point m is at (1, 1), and point n is at (3, 5). which statement proves that parallelogram klmn is a rhombus? the midpoint of both diagonals is (4, 4). the length of km is startroot 72 endroot and the length of nl is startroot 8 endroot. the slopes of lm and kn are both one-half and nk = ml = startroot 20 endroot. the slope of km is 1 and the slope of nl is –1.

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jayilych4real jayilych4real · Answer 1 · 2022-05-23T11:38:45+02:00

The statement that proves that parallelogram KLMN is a rhombus is. The slope of KM is 1 and the slope of NL is –1.

What is a Rhombus?

This is a type of quadrilateral that has four sides of which they are all equal.

Hence, given that KLMN is a parallelogram, K(7,7), L(5,3), M(1,1) and N(3,5).

We know that they bisect each other and if the diagonals of a parallelogram are perpendicular to each other then the parallelogram is a rhombus.

Therefore, The slope of KM is 1 and the slope of NL is –1.