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Cutting a pyramid by a plane parallel to its base yields a figure that is

  • A.identical to the base in size and shape
  • B.larger than the base in every dimension
  • C.triangular whatever the base shape may be
  • D.similar to the base but smaller

Answer: D

Correct answer: similar to the base but smaller

The faces of a pyramid converge towards the apex, so a plane parallel to the base cuts a figure of the same shape scaled down by the ratio of the heights. The two figures are similar rather than congruent, and the area ratio is the square of that scale factor.

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