WY and XZ are perpendicular to each other.
Geometry
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
The coordinate of the kite are W(a, 4b), X(2a, b), Y(a, 0), and Z(0, b).
To prove
If a quadrilateral is a kite, then its diagonals are perpendicular.
Proof
Here we can see that the diagonals are WY and XZ.
[tex]\overline{WY} = (a-a, 0 - 4b) = (0, -4b) \\\\\overline{XZ} = (2a - 0, b - b)= (2a - 0)[/tex]
Then the product of these two will be XZ and WY
[tex]\overline{WY} * \overline{XZ} = (0 , -4b) * (2a - 0) = 0[/tex]
Then WY and XZ are perpendicular to each other.
More about the geometry link is given below.
https://brainly.com/question/7558603
