\( B \) and \( P \) are points on a polygon. \( B^{\prime} \) and \( P^{\prime} \) are the points under a translation. Find \( P \). \( B(4,10) \)

To find the point \( P \) after a translation, we need to know the translation vector. Given that \( B(4,10) \) and \( B^{\prime} \) is the point under a translation, we can assume that the translation vector is \( (x, y) \). The translation of a point \( (x, y) \) by a vector \( (a, b) \) is given by the formula: \[ (x + a, y + b) \] Since \( B(4,10) \) is translated to \( B^{\prime} \), we can set up the equation: \[ (4 + x, 10 + y) = B^{\prime} \] However, we are asked to find the point \( P \) after the translation. Since we do not have any information about the point \( P \) before the translation, we cannot determine the exact coordinates of \( P \) after the translation. Therefore, we cannot find the point \( P \) after the translation without additional information.