UpStudy Free Solution:
To determine which shapes have two congruent parallel bases, let's analyze each option:
A. None of these - This is not a correct answer because some of the listed shapes do have two congruent parallel bases.
B. Cone - A cone has one circular base and a single vertex, so it does not have two congruent parallel bases.
C. Circle - A circle is a 2D shape and does not have bases.
D. Pyramid - A pyramid has one base and a vertex opposite to the base, so it does not have two congruent parallel bases.
E. Prism - A prism has two congruent parallel bases.
F. Cylinder - A cylinder has two congruent parallel circular bases.
So, the correct answers are:
E. Prism
F. Cylinder
Supplemental Knowledge:
In geometry, understanding the properties of three-dimensional shapes is essential. Here’s a breakdown of the relevant properties for each shape mentioned:
1. Cone: A cone has a circular base and a single vertex, but it does not have two parallel bases.
2. Circle: A circle is a two-dimensional shape and does not have bases.
3. Pyramid: A pyramid has a polygonal base and triangular faces that meet at a single point (vertex). It does not have two parallel bases.
4. Prism: A prism has two congruent, parallel bases connected by rectangular faces. Examples include rectangular prisms and triangular prisms.
5. Cylinder: A cylinder has two congruent, parallel circular bases connected by a curved surface.
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