7
QuizMultiple Choice

Three-Dimensional Figures and Cross Sections — Quiz

Question 7 • Mathematics III

Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same shape, but are not congruent. Which could be the three-dimensional figure? Choose three correct answers.

Answer
A
triangular prism
B
cone
C
cylinder
D
triangular pyramid
E
square pyramid

Explanation

In a cone or pyramid, slices parallel to the base have the same shape as the base, but their sizes change with their distance from the tip. So two such slices can have the same shape without being congruent. A triangular prism and a cylinder have congruent cross sections parallel to their bases, so they do not fit.

AI-written and checked against the verified answer.

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