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Comparing a frustum with a truncated pyramid, the frustum

  • A.has ends that are similar figures
  • B.has ends that are dissimilar figures
  • C.retains the apex of the original solid
  • D.cannot be developed onto a flat surface

Answer: A

Correct answer: has ends that are similar figures

The parallel cut is what makes the difference. Because a frustum is cut parallel to the base, the section is the same shape as the base and merely smaller, so the two ends are similar figures. A truncated pyramid is cut at an angle, so its section is a different figure and the ends are dissimilar. Both retain no apex, and both can be developed.

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