Geometry

Question Analysis:
This problem tests understanding of both reflection across y = -x and quadrant location in the coordinate plane.

Key Concept Explanation:
Reflection across y = -x follows the transformation (x, y) → (-y, -x).
Quadrants are determined by:
I (+, +)
II (-, +)
III (-, -)
IV (+, -)

Step-by-Step Solution:
Original point: K(6, -8)
Apply reflection:
New x-coordinate: -(-8) = 8
New y-coordinate: -6
K' = (8, -6)
(+, -) coordinates place K' in Quadrant IV

Option Analysis:
A. Incorrect (requires +,+)
B. Incorrect (requires -,+)
C....