Geometry

Question Analysis:
This problem tests whether you can determine a transformation based on how coordinates change.
The focus is on using coordinate comparisons to verify congruence via isometries.

Key Concept Explanation:
Reflection over y-axis: (x, y) → (−x, y)
If each x-coordinate is negated and y-coordinate remains the same, that’s a reflection over the y-axis.

Step-by-Step Solution:
Compare point-by-point:
A(−4, 2) → A′(4, 2): x flipped
B(−2, 4) → B′(2, 4): x flipped
C(−4, 6) → C′(4, 6): x flipped
Y-values stay the same, so the rule must be:
(x, y) → (−x, y) → reflection over y-axis

Option Analysis:
A. Translation: x changed sign, not just moved → ❌
B. Rotation 180°: would change signs of both x and y → ❌
C. Ref...