Subjects geometry

Midpoint Calculation

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1. **Problem Statement:** Calculate the coordinates of point $Q$ using the midpoint formula. 2. **Midpoint Formula:** The midpoint $M$ of a segment with endpoints $A(x_1, y_1)$ and $B(x_2, y_2)$ is given by: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ This formula finds the point exactly halfway between $A$ and $B$. 3. **Explanation:** To find $Q$, you need the coordinates of the two endpoints of the segment for which $Q$ is the midpoint. 4. **Calculation:** Suppose the endpoints are $A(x_1, y_1)$ and $B(x_2, y_2)$, then: $$Q_x = \frac{x_1 + x_2}{2}$$ $$Q_y = \frac{y_1 + y_2}{2}$$ 5. **Result:** The coordinates of $Q$ are: $$Q = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ If you provide the coordinates of the endpoints, I can calculate the exact coordinates of $Q$.