Which of the following have at least two congruent parallel bases?
Check all that apply.
A. Cone
B. Cylinder
C. Prism
D. Cube
E. Pyramid
F. None of these
The correct answer and explanation is:
The correct answer is B. Cylinder, C. Prism, and D. Cube.
Explanation:
A cone has a circular base, but it does not have two congruent parallel bases. The side of the cone tapers from the base to the apex, so it does not meet the criteria of having two congruent parallel bases.
A cylinder has two congruent parallel bases, which are circular. The sides of the cylinder are perpendicular to the bases and are parallel to each other, satisfying the condition of having at least two congruent parallel bases.
A prism also has two congruent parallel bases. The bases are polygons, and the sides of the prism are parallelograms connecting corresponding vertices of the two bases. Therefore, a prism always has two congruent parallel bases, regardless of the shape of the base.
A cube is a special type of prism where the two parallel bases are square, and all sides are congruent. The cube has two congruent parallel square bases, which meet the requirement of the problem.
A pyramid has only one base, and all other sides are triangular faces that converge to a single apex. Therefore, a pyramid does not have two congruent parallel bases.
In summary, the cylinder, prism, and cube all have at least two congruent parallel bases, while the cone and pyramid do not.