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Pregunta

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

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expertRespuesta verificada por expertos

Pearson Reid
Qualified Tutor
4.0 (43votos)

E. Prism

F. Cylinder

Solución

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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