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A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed?

A) a pentagon with one pair of equal sides

B) a trapezoid with one pair of parallel sides

C) a rectangle

D) a triangle

E) a hexagon


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Respuesta :

Answer: A rectangle

Note: I am a bit confused between A), B), and C), but the answer I am going for is C).

Step-by-step explanation:

By definition, a cross-section is the intersection of a plane and a body of three dimensions.

A pentagonal prism has a pentagon as its base. and its lateral faces are rectangles.

If a plane perpendicular cuts the pentagonal prism to the base, this means that the plane is parallel to lateral faces, then, the shape of the cross-section that is formed is also a rectangle.

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