Question

A perspective object is rotated 180° about the y-axis, then 180° about the z-axis. Which perspective view matches?

• A. A
• B. B
• C. C
• D. D

Hint:

When faced with successive 3D rotations, check whether they combine to a single simpler rotation using axis rules.

Answer 1

The Correct Option is C

Step 1: Rotation about y-axis.
A 180° rotation about y flips the object left-to-right (mirror along x–z plane).
Step 2: Rotation about z-axis.
Another 180° rotation about z flips the object front-to-back (mirror along x–y plane).
Step 3: Net effect.
Two successive 180° rotations about y then z are equivalent to a 180° rotation about x-axis.
Step 4: Compare options.
Option (C) shows the correct flipped orientation along the x-axis. Others do not match. Final Answer: \[ \boxed{\text{C}} \]