Question

Shown below on the left are two views of a bent wire. Which option is the top view of the wire? 

• A. A
• B. B
• C. C
• D. D

Hint:

For problems involving 3D objects, carefully visualize the transformation from one view to another and cross-check each option to match the given perspectives.

Answer 1

The Correct Option is A

Step 1: The wire’s front and side views are given. To identify the top view, mentally visualize the position of the bends and how they align from above.
Step 2: Analyze each option and compare how it represents the wire’s structure from the top.
Step 3: Option A correctly represents the top view based on the given side and front views.

Answer 2

Both the front view and the side view show the wire stepping down in a shrinking staircase, each bend a little shorter than the last, tracing out a nested, self-similar path rather than a simple loop. The top view has to show that same shrinking, nested pattern, seen from above, rather than a uniform spiral of equal-sized turns or a set of crossing loops.

1. Option A: This shows a smaller triangle nested neatly inside a larger one, the same shrinking, self-similar pattern that the front and side staircases already show, just seen from above.
2. Option B: This is a square spiral of turns that stay roughly the same size as they wind inward, rather than the shrinking, nested pattern the front and side views establish.
3. Option C: This introduces a diagonal cut across the shape that does not match the strictly right-angled bends shown in the front and side views.
4. Option D: The paths cross over each other here in a way that does not correspond to a simple, shrinking, nested bend pattern.

Only option A reproduces the shrinking, nested pattern seen in both the front and side views, viewed from above.

So the correct answer is Option A.