Very hard

Which option shows the given figure turned through 180 degrees?

Correct answer: D. Small hexagon at centre; small triangle pointing down-right at top left; small triangle pointing up at bottom right; semicircle pointing up at top right; small arrow pointing up at bottom left

  • A. Small hexagon at centre; small triangle pointing down-left at top right; small triangle pointing up at bottom left; semicircle pointing up at top left; small arrow pointing up at bottom right
  • B. Small hexagon at centre; small triangle pointing down-right at top left; small triangle pointing up at bottom right; semicircle pointing down at top right; small arrow pointing up at bottom left
  • C. Small hexagon at centre; small triangle pointing up-right at bottom left; small triangle pointing down at top right; semicircle pointing down at bottom right; small arrow pointing down at top left
  • D. Small hexagon at centre; small triangle pointing down-right at top left; small triangle pointing up at bottom right; semicircle pointing up at top right; small arrow pointing up at bottom left

Explanation

Turning the whole figure through a half turn moves every element round the centre by the same amount and turns each element with it, so the figure keeps its shape; only its orientation changes. Option D is the only one where every element has changed this way. A is a mirror image of the turned figure, which no turn can produce. B has one element moved round with the turn but not turned itself. C is a water image of the turned figure, which no turn can produce.

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