The kite has vertices d(0,u), g(-w,0), and f(0,-2). what are the coordinates of e ?

a. (w,0)
b. (0,w)
c. (0,-u)
d. (w,2u)

Option A is correct.

Step-by-step explanation:

Given: Coordinates of the vertices of Kite  D ( 0 , u ) , G ( -w , 0 ) and  F ( 0 , -2 )

We have to find Coordinates of vertex E.

Intersection of both diagonal is same as intersection of both axis that is origin ( 0 , 0)

We know that Shorter diagonal of kite is bisected by longer diagonal.

So, vertex G and E are equidistant from origin.

vertex E lies on x-axis. So, y-coordinate of E must be 0.

So, From given options.

Only ( w , 0 ) satisfy our requirement. It is w unit away from origin same as vertex G . Also y-coordinate of it's 0.

therefore, Option A is correct.