Consider a triangle with vertices A (1, 4), B (6, 7), and C (5, 1) as shown below. Find the resultant vertices A', B', and C' of the transformed triangle after the following transformations:
- Translation distance tx = 3, ty = 5.
- Rotating at an angle θ = 90° (where cos 90° = 0, sin 90° = 1).
- Scaling factor sx = 2 and sy = 2.
- Reflection about the Y-axis.