Subjects geometry

Midpoint Coordinates 30Fa90

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1. **State the problem:** We need to find the coordinates of point M, which is the midpoint of the line segment CD. 2. **Formula for midpoint:** The midpoint M of a segment with endpoints C$(x_1, y_1)$ and D$(x_2, y_2)$ is given by: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ 3. **Identify coordinates:** From the problem, point C has coordinates $(10, 4)$ and point D has coordinates $(18, 20)$. 4. **Calculate midpoint coordinates:** $$x_M = \frac{10 + 18}{2} = \frac{28}{2} = 14$$ $$y_M = \frac{4 + 20}{2} = \frac{24}{2} = 12$$ 5. **Final answer:** The coordinates of point M are $(14, 12)$. This means point M lies exactly halfway between points C and D on the line segment connecting them.