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Difficulty: Easy2D Mental Rotation

A square assembly component features a distinct triangular notch on its top edge. To evaluate how it fits into a larger system, you must mentally rotate this piece clockwise in continuous 90-degree increments. Arrange the resulting orientations in the chronological order they will appear during the rotation process.

  1. 1The component with the notch on the right edge
  2. 2The component with the notch on the bottom edge
  3. 3The component with the notch on the left edge

Answer

The correct sequence tracks the notch moving sequentially from the top edge to the right edge, then to the bottom edge, and finally to the left edge in a clockwise direction.
By following a continuous 90-degree clockwise rotational sequence, the defining notch moves in a standard circular progression: from its start at the top, to the right (first 90-degree turn), to the bottom (180-degree turn), and finally to the left (270-degree turn).

Step-by-Step Solution

1
Identify the baseline starting position of the shape.
The distinguishing feature (the notch) is located on the top edge (12 o'clock).
Establishing the initial orientation is necessary before applying rotational transformations.
2
Apply the first 90-degree clockwise rotation.
The notch rotates to the right edge (3 o'clock).
A 90-degree clockwise turn shifts the top face to the right.
3
Apply the second 90-degree clockwise rotation.
The notch rotates from the right edge to the bottom edge (6 o'clock).
Continuing clockwise, the right face shifts to the bottom.
4
Apply the third 90-degree clockwise rotation.
The notch rotates from the bottom edge to the left edge (9 o'clock).
The final 90-degree turn in this sequence shifts the bottom face to the left.

Key Concept

Tracking a distinct physical feature on a 2D shape as it undergoes incremental mental rotation.
Estimated Time:45s
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Topics

2D Mental Rotation

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