Question

You are given the coordinates of four points that are the vertices of a parallelogram. You need to determine if the parallelogram is a rhombus. Explain how you could determine this.

Answer 1

What's the difference between a rhombus and a parallelogram?

Answer 2

Geometrically (non scientifically), a rhombus is a slanted square and a parallelogram is a slanted rectangle.

Answer 3

One way would be to determine if the distances between the four points where all equal, if so this would imply that all four lengths are the same, therefore would be a rhombus.

Answer 4

another condition, find slopes of diagonals and check if multiplication of both is -1