Question

Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), Y(0, −4b), and Z(−2a, 0).

Prove: The segments joining the midpoints of a rhombus form a rectangle.

As part of the proof, find the midpoint of WZ

Answer 1

-a,2b

Explanation:

here is your answer

Answer 2

Option C

Explanation:

In this question coordinates of rhombus WXYZ are given as W(0, 4b), X(2a, 0), Y(0, −4b), and Z(−2a, 0).

Now we have to find the coordinates of midpoint of WZ as part of the proof.

Since mid point of two points (x, y) and (x', y') is represented by

`((x+x')/(2)`
`(y+y')/(2))`

For midpoint of WZ,

`((0-2a)/(2)`
`(4b+0)/(2))`

= (-a, 2b)

Option C will be the answer.