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nlexa [21]
3 years ago
13

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

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer:

The coordinates of point D( 4,4)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

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

<u><em>Step(ii):-</em></u>  

\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)

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