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Question

Bradley Hamilton

06/25/2024 · High School

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

A. None of these 

B. Cone 

C. Circle 

D. Pyramid 

E. Prism 

F. Cylinder

Answer
expertExpert-Verified Answer

Pearson Reid
Qualified Tutor
4.0 (43votes)

E. Prism

F. Cylinder

Solution

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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