Question

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

Answer 1

Answer:

The coordinates of point D( 4,4)

Step-by-step 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

 $(10,4) = (\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )$

$10 = \frac{x_{1} +16 }{2}$    

20 = x₁ + 16

20-16 = x₁

  x₁ =4

Step(ii):-  

$\frac{y_{1} +y_{2} }{2} = 4$

$\frac{4 +y_{2} }{2} = 4$

4 + y₂ = 8

    y₂ = 8-4 =4

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