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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? Select three options.
cone
cylinder
triangular prism
triangular pyramid
square pyramid
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cone
triangular pyramid
square pyramid
Reason: In a cone or a pyramid, slices parallel to the base are the same shape as the base but scaled (similar), so different slices are not congruent. In a cylinder or prism, slices parallel to the base are congruent to the base.
triangular pyramid
square pyramid
Reason: In a cone or a pyramid, slices parallel to the base are the same shape as the base but scaled (similar), so different slices are not congruent. In a cylinder or prism, slices parallel to the base are congruent to the base.
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