Respuesta :

Answer:

(1, 10)

Step-by-step explanation:

Use midpoint formula.

Mₓ = (x₁ + x₂) / 2

3 = (5 + x) / 2

6 = 5 + x

x = 1

Mᵧ = (y₁ + y₂) / 2

9 = (8 + y) / 2

18 = 8 + y

y = 10

The coordinates of point D are (1, 10).

The coordinates of point D are (1, 10).

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something.

Midpoint of a line segment means a point which lies in the mid of the given line segment.

Given; CD has endpoints C and D, with C at coordinates (5,8). CD has midpoint M at (3,9).

Using midpoint formula;

Mₓ = (x₁ + x₂) / 2

3 = (5 + x) / 2

6 = 5 + x

x = 1

Now, Mᵧ = (y₁ + y₂) / 2

9 = (8 + y) / 2

18 = 8 + y

y = 10

Hence, The coordinates of point D are (1, 10).

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