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Which of the following have two congruent parallel bases?Check all that apply.A.None of theseB.ConeC.PrismD.CircleE.CylinderF.Pyramid

Question

Which of the following have two congruent parallel bases? Check all that apply.

  • A. None of these
  • B. Cone
  • C. Prism
  • D. Circle
  • E. Cylinder
  • F. Pyramid
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Solution

To determine which of the given shapes have two congruent parallel bases, we need to analyze each option:

  1. Cone: A cone has a circular base, but there is only one base, so it does not have two congruent parallel bases.

  2. Prism: A prism has two congruent, parallel bases that are shaped like polygons (e.g., triangular prism, rectangular prism). This option meets the criteria.

  3. Circle: A circle does not have bases as it is a two-dimensional shape without sides. Thus, it does not have two congruent parallel bases.

  4. Cylinder: A cylinder has two congruent circular bases that are parallel to each other, fulfilling the conditions of having two congruent parallel bases.

  5. Pyramid: A pyramid has one base that is a polygon and triangular faces that meet at a point. It does not have two parallel bases.

Summary of Findings:

  • Congruent parallel bases are present in the Prism and the Cylinder.
  • Cone, Circle, and Pyramid do not satisfy the requirement.

Final Answer

Check all that apply: C. Prism, E. Cylinder.

This problem has been solved

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