# The coordinates for a rhombus are given as (2a, 0) (0, 2b), (-2a, 0), and (0.-2b). How do you write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using coordinate geometry?

##### 1 Answer

Jan 12, 2017

Please see below.

#### Explanation:

Let the points of rhombus be

Let midpoints of

It is apparent that while

Further,

Hence