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Assertion: a cut parallel to a pyramid's base produces a section identical to the base. Reason: parallel planes cut a solid in congruent figures.

  • A.the assertion is true but the reason given for it is false
  • B.both the assertion and the reason are false, the section being similar but smaller
  • C.both the assertion and the reason are true and the reason explains the assertion
  • D.both the assertion and the reason are true but the reason does not explain the assertion

Answer: B

Correct answer: both the assertion and the reason are false, the section being similar but smaller

Neither statement holds. The section of a pyramid parallel to its base is similar to the base but reduced by the ratio of the heights, so it is not identical. And parallel planes cut a solid in congruent figures only where the solid has a constant cross-section, as a prism or cylinder does - not a pyramid or cone.

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