Which one of the following figures P, Q, R, or S, correctly shows the 45°…

2026

Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?

Figure I and four candidate clockwise rotations labelled P, Q, R, and S.

Answer: A. PA 45° clockwise rotation of an axis‑aligned pattern produces a diamond in which the original top edge becomes the upper‑right edge, the left edge becomes the…

  1. A.

    P

  2. B.

    Q

  3. C.

    R

  4. D.

    S

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Correct answer: A

A 45° clockwise rotation of an axis‑aligned pattern produces a diamond in which the original top edge becomes the upper‑right edge, the left edge becomes the upper‑left edge, the bottom edge becomes the lower‑left edge, and the right edge becomes the lower‑right edge. Correspondingly, the original top‑left, top‑right, bottom‑right and bottom‑left corners become the top, right, bottom and left vertices of the diamond, and the order of gaps (notches) along each edge is preserved. Reading the corner signatures of figure (I): the top‑left corner has a gap on its top‑edge side but a filled cell on its left‑edge side; the top‑right corner has a gap on its top‑edge side and a filled cell on its right‑edge side; the bottom‑right and bottom‑left corners are isolated (gaps on both adjacent edges). Translating these to the diamond gives: a top vertex with a filled cell on the upper‑left side and a gap on the upper‑right side, a right vertex with a gap above and a filled cell below, and isolated left and bottom vertices. Only figure P reproduces this exact set of corner signatures together with the unchanged gap sequence on every edge, so P is the 45° clockwise‑rotated version of (I).

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