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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)

1 In Kite ABCD below point E is the midpoint of segment BD What are the coordinates of point D O A 224 O B 44 O C 164 O D 416 class=

Respuesta :

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

 [tex](10,4) = (\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]

[tex]10 = \frac{x_{1} +16 }{2}[/tex]    

20 = x₁ + 16

20-16 = x₁

  x₁ =4

Step(ii):-  

[tex]\frac{y_{1} +y_{2} }{2} = 4[/tex]

[tex]\frac{4 +y_{2} }{2} = 4[/tex]

4 + y₂ = 8

    y₂ = 8-4 =4

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

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