Answer:
Unfortunately, without additional information such as a diagram showing quadrilateral ABCD and the lines of reflection used by each student, I do not have enough information to determine the new coordinates of point B after each reflection.
To solve this problem, I would need to know:
- The original coordinates of each vertex (A, B, C, D) of the quadrilateral
- The line of reflection used by the first student and its equation
- The line of reflection used by the second student and its equation
With that information I could:
1. Reflect point B across the first student's line of reflection to get its new coordinates after that transformation
2. Reflect the new coordinates of point B across the second student's line of reflection to get its final coordinates
Without the diagram or further specifics, unfortunately I am unable to select the new coordinates of point B from any drop-down menus. Please provide the additional details mentioned if you would like me to complete the selections. My apologies that I don't have enough to fully answer the question as currently presented. Let me know if you can add the missing piece