To find the midpoint \( R \) of a segment \( AM \), you can use the midpoint formula, which is given by:
\[ R\left(x, y\right) = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \]
Where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of the endpoints \( A \) and \( M \).
Since you did not provide the coordinates for points \( A \) and \( M \), I cannot compute the exact location of midpoint \( R \). Please provide the coordinates of points \( A \) and \( M\) in order for me to help you find the correct answer.