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? Check all that apply.conecylinderrectangular prismtriangular prismtriangular pyramidsquare pyramid

See earlier response, but do note that prisms do not apply because the question says the sections are not congruent with the base. All cones, pyramids, and even hemispheres apply. All cylinders, and all prisms and parallelepipeds do not qualify.

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josephcortez512 josephcortez512 · Answer 2 · 2021-05-06T13:19:26+02:00

Answer:

A. Cone.

D. Triangular Pyramid.

E. Square Pyramid.

Step-by-step explanation:

The condition in the question says, two cross sections are the same in shape but are NOT congruent. Which means they might look alike but are not congruent.

If we consider two cross sections of a cylinder, they will be absolutely congruent since they share the same radius.

If we consider two cross sections of a triangular prism and rectangular prism they both have uniform dimension and the two cross sections will be congruent to each other.

But in the case of a cone, triangular pyramid, and square pyramid the cross sections might appear the same but they are not congruent since the dimension varies uniformly from one end to the other. For example, if we cut the cone at the top the radius of the base will not be the same if we cut it from some lower end, they will look the same but they will not be congruent.