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Describe the cross section. The cross section is a(n) (select) (select) isosceles triangle square equilateral triangle circle rectangle

Describe the cross section. The cross section is a(n) (select) (select) isosceles triangle square equilateral triangle circle rectangle

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Understanding Cross Sections: A Cylindrical Model** When discussing cross sections in geometry, it’s important to understand how slicing through a three-dimensional figure with a plane can produce various two-dimensional shapes. Here, we examine the cross section of a cylinder. ### Describe the Cross Section The provided image displays a diagram of a cylinder with a plane intersecting it perpendicularly to its axis. The intersection creates a cross-section which we need to describe. ### Diagram Explanation - **Visual Representation**: The image illustrates a 3D cylinder with a plane cutting through it. The plane is depicted in the form of a grey rectangle intersecting the blue cylinder. - **Intersection Area**: The plane intersects the cylinder creating a shape on the plane. This particular intersection is key to determining the cross-sectional shape. ### Selecting the Cross Section Based on the position of the plane (perpendicular to the base) intersecting the cylinder, the cross section formed is a circle. From the dropdown list provided (is below the text 'The cross section is a(n)') you can see the following options: 1. Isosceles triangle 2. Square 3. Equilateral triangle 4. Circle 5. Rectangle In this case, the correct option to describe the cross section of the cylinder when cut perpendicularly to its base is: **Circle** ### Practice Question Once you've identified the correct cross-section shape, you can check your answer to reinforce your understanding. In the case of the provided diagram, when the cylinder is cut perpendicular to its base, the resultant cross section is a circle. **Question 15 of 19** This indicates continuous practice, enabling a thorough grasp of cross-sectional analysis and various geometric shapes. ### Interactive Learning The interactive nature of this question encourages students to visualize and interact with different geometric configurations to better understand cross sections. This approach enhances spatial reasoning and geometric comprehension. >>>>>>> Suitable for Educational Websites This content format ensures that the explanations are succinct, accurate, and educational, promoting an interactive and engaging learning experience for students interested in geometry.
Transcribed Image Text:**Understanding Cross Sections: A Cylindrical Model** When discussing cross sections in geometry, it’s important to understand how slicing through a three-dimensional figure with a plane can produce various two-dimensional shapes. Here, we examine the cross section of a cylinder. ### Describe the Cross Section The provided image displays a diagram of a cylinder with a plane intersecting it perpendicularly to its axis. The intersection creates a cross-section which we need to describe. ### Diagram Explanation - **Visual Representation**: The image illustrates a 3D cylinder with a plane cutting through it. The plane is depicted in the form of a grey rectangle intersecting the blue cylinder. - **Intersection Area**: The plane intersects the cylinder creating a shape on the plane. This particular intersection is key to determining the cross-sectional shape. ### Selecting the Cross Section Based on the position of the plane (perpendicular to the base) intersecting the cylinder, the cross section formed is a circle. From the dropdown list provided (is below the text 'The cross section is a(n)') you can see the following options: 1. Isosceles triangle 2. Square 3. Equilateral triangle 4. Circle 5. Rectangle In this case, the correct option to describe the cross section of the cylinder when cut perpendicularly to its base is: **Circle** ### Practice Question Once you've identified the correct cross-section shape, you can check your answer to reinforce your understanding. In the case of the provided diagram, when the cylinder is cut perpendicular to its base, the resultant cross section is a circle. **Question 15 of 19** This indicates continuous practice, enabling a thorough grasp of cross-sectional analysis and various geometric shapes. ### Interactive Learning The interactive nature of this question encourages students to visualize and interact with different geometric configurations to better understand cross sections. This approach enhances spatial reasoning and geometric comprehension. >>>>>>> Suitable for Educational Websites This content format ensures that the explanations are succinct, accurate, and educational, promoting an interactive and engaging learning experience for students interested in geometry.
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