Question

Please help!!!!!!.....

Answer 1

The diagonals ZX and YW are perpendicular to each other.

Explanation:

We have to prove diagonal ZX is perpendicular to diagonal YW.

Now, the coordinates of Z(0,b), and X(2a,b)

Hence, slope of ZX is m =
`(b - b)/(2a - 0) = 0`

Therefore, ZX is parallel to x-axis.

Now, the coordinates of Y(a,0) and W(a,4b)

Hence, slope of YW is n =
`(4b - 0)/(a - a) = \infty`

Therefore, YW is parallel to y-axis.

Hence, the diagonals ZX and YW are perpendicular to each other. (Proved)