Final answer:
The student's question about the congruency of lines RS and TU cannot be answered because the coordinates for point T were not provided. Thus, the length of line TU cannot be calculated to compare it with line RS.
Step-by-step explanation:
The student has asked whether the lines RS and TU are congruent. To determine this, we need to calculate the length of each line segment using the distance formula, which is √((x2-x1)2 + (y2-y1)2). For line RS, with R(2,8) and S(6,4), the calculation is √((6-2)2 + (4-8)2) = √(16+16) = √32. For line TU, with T(missing coordinates) and U(-2,3), we cannot calculate the length since T's coordinates are not provided. However, since the coordinates for point T have not been given in the question, we are unable to determine if lines RS and TU are congruent. Therefore, we cannot provide an answer to whether they are congruent based on the information given.