Maths Olympiad Prep

Track / Stage 4 / 89 of 340 #349 of 1964

Problem 349

AMC 12 late, AIME early
Geometry Difficulty 4.6 Find the answer

Which of the following statements is correct?
(1) Two faces are parallel, and the rest of the faces are trapezoids; the geometric solid formed by these faces is a frustum.
(2) A frustum is the remaining solid after a smaller pyramid is cut off from a larger pyramid by a plane parallel to the base.
(3) Two edges of a frustum without a common vertex are skew lines.
(4) In a regular quadrilateral frustum, the lateral edges and the diagonals of the non-intersecting upper and lower bases are mutually perpendicular skew lines.
(A)(1) and (2) (B)(2) and (4) (C)(2) and (3) (D) (1) and (3)

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Official solution

B

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.