Question

The coordinates of the vertices of quadrilateral DEFG are D(−2,5)D(−2,5) , E(2,4)E(2,4) , F(0,0)F(0,0) , and G(−4,1)G(−4,1) .
Which statement correctly describes whether quadrilateral DEFG is a rhombus?

Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Quadrilateral DEFG is not a rhombus because opposite sides are parallel but the four sides do not all have the same length.

Quadrilateral DEFG is not a rhombus because there are no pairs of parallel sides.

Quadrilateral DEFG is not a rhombus because there is only one The coordinates of the vertices of quadrilateral DEFG are D(−2,5)D(−2,5) , E(2,4)E(2,4) , F(0,0)F(0,0) , and G(−4,1)G(−4,1)

Answer 1

Look at the graph first

Answer 2

Compute the length of each side

Answer 3

If they are all equal, it is a Rhombus

Answer 4

If the opposite sides are equal, then it is a parallelogram.