Question

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)

Answer 1

a (w,0) would be the corrdinate of e

Answer 2

Option A is correct.

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.