AnswersMASTER COURSE GeometryFigures in the Coordinate Plane — QuizQuestion 36
36
QuizMultiple Choice

Figures in the Coordinate Plane — Quiz

Question 36 • MASTER COURSE Geometry

Which statement proves that parallelogram KLMN is a rhombus?

Answer
A
The slopes of line segment LM and line segment KN are both 1 half and NK is equal to ML is equal to square root of 20 .
B
The length of line segment KM is square root of 72 and the length of line segment NL is square root of 8 .
C
The midpoint of both diagonals is open paren 4 comma 4 close paren .
D
The slope of line segment KM is 1 and the slope of line segment NL is negative 1 .

Explanation

In a parallelogram, perpendicular diagonals prove that the figure is a rhombus. The slopes of KM and NL are 1 and −1, and their product is −1, so the diagonals are perpendicular. Therefore, the statement that KM and NL have those slopes proves KLMN is a rhombus.

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