Geometry

Question Analysis:
This problem tests understanding of sequential geometric transformations on a triangle's vertex.
It requires careful application of reflection and translation rules.

Key Concept Explanation:
Reflection over y = x: (x, y) → (y, x)
Translation: (x, y) → (x + h, y + k) where h = -4 (left), k = -2 (down)
Reflection over x = a: (x, y) → (2a - x, y)

Step-by-Step Solution:
Original point C: (6, 1)
First transformation (reflect over y = x): (1, 6)
Second transformation (translate): (1 - 4, 6 - 2) = (-3, 4)
Third transformation (reflect over x = -1): (2(-1) - (-3), 4) = (1, 4)

Common Mistakes:
Applying transformations in wrong order
Miscalculating reflection ...