Geometry

Question Analysis:
This question requires identifying the rotation angle that maps one point to another about the origin.

Key Concept Explanation:
90° counterclockwise rotation maps (x, y) → (-y, x).
For (4, 0): (-0, 4) → (0, 4), matching the transformation.

Step-by-Step Solution:
Original point: (4, 0)
Test rotation rules:
90° CCW: (4, 0) → (0, 4) ✔️
90° CW: (4, 0) → (0, -4) ✖️
180°: (4, 0) → (-4, 0) ✖️
270° CCW: (4, 0) → (0, -4) ✖️

Option Analysis:
A) Incorrect; produces (0, -4).
B) Corr...