1. The problem asks for the coordinates of point M, which is the midpoint of the line segment CD.
2. The midpoint formula for two points $C(x_1, y_1)$ and $D(x_2, y_2)$ is:
$$ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) $$
This formula finds the average of the x-coordinates and the average of the y-coordinates.
3. Given points:
$$ C = (10, 4), \quad D = (16, 20) $$
4. Calculate the x-coordinate of M:
$$ \frac{10 + 16}{2} = \frac{26}{2} = 13 $$
5. Calculate the y-coordinate of M:
$$ \frac{4 + 20}{2} = \frac{24}{2} = 12 $$
6. Therefore, the coordinates of point M are:
$$ M = (13, 12) $$
This means point M is exactly halfway between points C and D on the line segment connecting them.
Midpoint Coordinates 012C98
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