The coordinates for a rhombus are given as (2a,,,0) and (0,-2b) write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using coordinate geometry be sure to include the formulas

Step-by-step explanation:

Let the points of rhombus be A(2a,0), B(0,2b), C(-2a,0) and D(0,-2b).

Let midpoints of  AB be P, then

Let the mid point of BC be Q, then

Let the mid point of CD be R, then

and Let the mid point of DA be S, then

It can be seen that P lies in quadrant I, Q in Quadrant II, R in III and S in IV, Further P and Q are the reflections of each other in y-axis, Q and R are the reflections of each other in x-axis,R  and  S  are reflection of each other in  y -axis and  S  and  P are reflection of each other in  x -axis.

Hence, the mid points of the rhombus  forms the rectangle.

irrational, cannot