ASVAB · Mental Rotation

A flat plus-sign (+) shape has four arms labeled A (top), B (right), C (bottom), D (left). When assembled into a 3D object, which arms become opposite faces of the form?

Correct answer

A and C — the top and bottom arms of a symmetric plus are directly opposite each other; same for B and D

  1. A A and B
  2. B A and C — the top and bottom arms of a symmetric plus are directly opposite each other; same for B and D
  3. C A and D
  4. D None are opposite

Why this is the answer

In a symmetric cross/plus shape, opposite arms always become opposite faces when folded. Top arm (A) and bottom arm (C) are directly across from each other — they become opposite faces. Left arm (D) and right arm (B) are also opposite. The center of the plus becomes one face, and the piece that covers it (if any) becomes the sixth face.
Source: ASVAB AO, Cube Net Opposites

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About this topic: Mental Rotation

Mental rotation is the core skill of Assembling Objects: recognising a shape after it has been turned but not flipped. Answer choices that are mirror images are the standard trap — a rotated shape is never its own mirror image unless it is symmetrical. This is one of 13 Assembling Objects questions on mental rotation, each with a full explanation on a single study page.

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