Subjects geometry

Midpoint Coordinates 012C98

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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.