Which option shows the given figure turned through 180 degrees?
Correct answer: D. Half-shaded square, shaded down-left at bottom centre; small half-shaded plus sign, shaded right at bottom left; semicircle pointing up-left at top centre
- A. Half-shaded square, shaded down-right at bottom centre; small half-shaded plus sign, shaded left at bottom right; semicircle pointing up-right at top centre
- B. Half-shaded square, shaded up-left at middle left; small half-shaded plus sign, shaded down at top left; semicircle pointing up-right at middle right
- C. Half-shaded square, shaded down-right at middle right; small half-shaded plus sign, shaded up at bottom right; semicircle pointing down-left at middle left
- D. Half-shaded square, shaded down-left at bottom centre; small half-shaded plus sign, shaded right at bottom left; semicircle pointing up-left at top centre
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 is the figure turned through a quarter turn anticlockwise instead. C is the figure turned through a quarter turn clockwise instead.
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