SOLUTION: Using a coordinate geometry proof, which method below is a correct way to prove a quadrilateral is a rhombus? 1. Opposite sides have congruent slopes. 2. The diagonals have t

Algebra ->  Geometry-proofs -> SOLUTION: Using a coordinate geometry proof, which method below is a correct way to prove a quadrilateral is a rhombus? 1. Opposite sides have congruent slopes. 2. The diagonals have t      Log On


   

Question 408015: Using a coordinate geometry proof, which method below is a correct way to prove a quadrilateral is a rhombus?
1. Opposite sides have congruent slopes.
2. The diagonals have the same midpoint, and one pair of opposite sides have equal lengths.
3. The diagonals have the same length.
4. The diagonals have the same midpoint and two adjacent sides have the same length.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Using a coordinate geometry proof, which method below is a correct way to prove a quadrilateral is a rhombus?

1. Opposite sides have congruent slopes.

No, for that is true of any parallelogram

2. The diagonals have the same midpoint, and one pair of opposite sides have equal lengths.

No, for that's true not only of all parallelograms, but isosceles trapezoids
as well.

3. The diagonals have the same length.

No, for that's true of all rectangles and isosceles trapezoids.

4. The diagonals have the same midpoint and two adjacent sides have the same length.

Yes, that's true only for rhombuses.

So 4 is the correct choice.

Edwin