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What section results when a plane passes through the apex of a pyramid and across its base?

  • A.a triangle
  • B.a figure similar to the base
  • C.a quadrilateral in every case
  • D.a circle of the base's inscribed radius

Answer: A

Correct answer: a triangle

A plane through the apex meets the sloping surface in two straight generators and the base in a straight line, so the boundary consists of three straight segments. This is the one cut of a cone or pyramid that produces no curve at all, however the plane is turned about the apex.

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