Geometry

Question Analysis:
This problem involves two consecutive transformations: first reflection across y = -x, then reflection across the y-axis.

Key Concept Explanation:
Reflection across y = -x: (x, y) → (-y, -x)
Reflection across y-axis: (x, y) → (-x, y)

Step-by-Step Solution:
Original point: A(3, -4)
First reflection (y = -x):
A' = (4, -3)
Second reflection (y-axis):
A'' = (-4, -3)

Common Mistakes:
Applying transformations in wrong order
Forgetting to negate coordinates p...