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Rotated Blocks 3D Visualization Flashcards

7 cards from real AFOQT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Rotated Blocks 3D Visualization flashcards as text

  1. In the AFOQT Rotated Blocks subtest, if one answer figure appears to be a mirror image of the original, it should be treated as:

    Answer: NOT a valid rotation of the original

    A mirror image cannot be produced by rotation alone in 3D space — it is a fundamentally different configuration that cannot match the original through any rotation.

  2. How many degrees must an equilateral triangular prism be rotated around its central long axis before it looks identical to its starting position?

    Answer: 120°

    An equilateral triangle has 3-fold rotational symmetry, so the prism looks identical after every 120° rotation (360° ÷ 3 = 120°).

  3. Which characteristic would definitively prove that two 3D figures are NOT valid rotations of each other?

    Answer: One figure is the mirror image of the other

    If one figure is the mirror image of the other, no amount of 3D rotation can make them identical — they are fundamentally different orientations.

  4. A cube is rotated 180° around its vertical axis. Which statement is true about its corners (vertices)?

    Answer: No corner returns to its original position

    A 180° rotation around the vertical axis moves each of the 4 top corners and each of the 4 bottom corners to new positions — none return to their original location.

  5. How many corners (vertices) does a cube have?

    Answer: 8

    A cube has 8 vertices: 4 corners on the top face and 4 corners on the bottom face.

  6. A block with a notch on its top face is rotated 180° around its horizontal front-to-back axis. Where is the notch now located?

    Answer: On the bottom face

    Rotating 180° around the horizontal front-to-back axis flips the block upside down, moving the top face to the bottom position.

  7. What is the BEST approach when time is running short during the AFOQT Rotated Blocks subtest?

    Answer: Quickly eliminate mirror-image answer choices first, then evaluate the rest

    Quickly eliminating mirror-image options first narrows the choices and makes identifying valid rotations faster under time pressure.