Question

1. In Kite ABCD below, point E is the midpoint of segment BD. What are the

coordinates of point D?"


O A. (22,4)
O B. (4,4)
O C. (-16,4)
O D. (4.16)

Answer 1

The coordinates of point D( 4,4)

Explanation:

Step(i):-

Given points are E(10,4) and B(16,4)

'E' is the mid-point of segment BD

Let D(x₁, y₁) be a point

E = midpoint of segment BD

`(10,4) = ((x_(1) +x_(2) )/(2) , (y_(1) +y_(2) )/(2) )`

`10 = (x_(1) +16 )/(2)`

20 = x₁ + 16

20-16 = x₁

x₁ =4

Step(ii):-

`(y_(1) +y_(2) )/(2) = 4`

`(4 +y_(2) )/(2) = 4`

4 + y₂ = 8

y₂ = 8-4 =4

The co-ordinates of point D( 4,4)