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
Solution
To determine which of the given shapes have two congruent parallel bases, we need to analyze each option:
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Cone: A cone has a circular base, but there is only one base, so it does not have two congruent parallel bases.
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Prism: A prism has two congruent, parallel bases that are shaped like polygons (e.g., triangular prism, rectangular prism). This option meets the criteria.
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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.
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Cylinder: A cylinder has two congruent circular bases that are parallel to each other, fulfilling the conditions of having two congruent parallel bases.
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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.
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