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Karo-lina-s [1.5K]
3 years ago
11

Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same s

hape, but are not congruent.
Which could be the three-dimensional figure? Select three options.

cone
cylinder
triangular prism
triangular pyramid
square pyramid
Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
6 0
<h2>Answer:</h2>

A. cone

D. triangular pyramid

E. square pyramid

(Look at the photo at the bottom.)

<h2>Step-by-step explanation:</h2>

First, know what a cross section is. A cross section is the exposed shape or surface when a straight cut is made through a 3D figure. For example, if I make a cross section, or cut, through a sphere, the cross section will be a circle. The newly exposed surface is in the shape of a circle.

We want to know which 3D figures can make 2 different cross sections, parallel to the base, that are congruent. Congruent means <em>same shape but different size.</em> <em>Parallel to the base</em> means the cut is completely horizontal.

  • A cone is one, because no matter where you horizontally cut this, the cross section will always be a circle, but different sizes.
  • A triangular pyramid is another, because no matter where you horizontally cut this, the cross section will always be a triangle, but different sizes.
  • A square pyramid is another, because no matter where you horizontally cut this, the cross section will always be a square, but different sizes.

Here's a photo of Edge incase you're doubtful.

Vlad [161]3 years ago
5 0

Answer:

<u>A. </u>Cone

<u>D. </u>Triangular Pyramid

<u>E. </u>Square Pyramid

Explanation:

A cone is one, because no matter where you horizontally cut this, the cross section will always be a circle, but different sizes.

A triangular pyramid is another, because no matter where you horizontally cut this, the cross section will always be a triangle, but different sizes.

A square pyramid is another, because no matter where you horizontally cut this, the cross section will always be a square, but different sizes.

Hope this helps! :)

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