To find the midpoint \( R \) of a segment \(\overline{AM}\), we need to use the formula for the midpoint, which is given by:
\[ R = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
where \((x_1, y_1)\) are the coordinates of point \( A \) and \((x_2, y_2)\) are the coordinates of point \( M \).
Since we don't have the specific coordinates for points \( A \) and \( M \) provided in your question, we can't compute \( R \) directly. However, we can analyze the options provided:
- R is located at (-2, 2.5).
- R is located at (-2, 7).
- R is located at (0, 2.5).
- R is located at (-2, -2).
Each of these points could potentially be the midpoint of segment \(\overline{AM}\) depending on the coordinates of points \( A \) and \( M \).
If you have the coordinates for points \( A \) and \( M \), please provide them so we can determine which option is correct based on the calculated midpoint. If the specific points are not available, then it's not possible to determine which of the options for \( R \) is the correct midpoint without additional information.
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