Answer:
The diagonals ZX and YW are perpendicular to each other.
Step-by-step 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 = [tex]\frac{b - b}{2a - 0} = 0[/tex]
Therefore, ZX is parallel to x-axis.
Now, the coordinates of Y(a,0) and W(a,4b)
Hence, slope of YW is n = [tex]\frac{4b - 0}{a - a} = \infty[/tex]
Therefore, YW is parallel to y-axis.
Hence, the diagonals ZX and YW are perpendicular to each other. (Proved)
