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Describe the cross section of the figure. Complete the comparison of the dimenslons of the cross Sectloi to those of the figure. The bases of the cylinder are (select) v so the cross section is a quadrilateral with at least one pair of opposite sides (select) The bases of the cylinder meet the lateral (curved) surface at right angles, so the cross section must contain right angles. v. Its base is (select) v than the diameter of the cylinder, Therefore, the cross section is a (select) because the plane does not pass through the widest part of the cylinder, and its height is (select) v as the cylinder's.

Describe the cross section of the figure. Complete the comparison of the dimenslons of the cross Sectloi to those of the figure. The bases of the cylinder are (select) v so the cross section is a quadrilateral with at least one pair of opposite sides (select) The bases of the cylinder meet the lateral (curved) surface at right angles, so the cross section must contain right angles. v. Its base is (select) v than the diameter of the cylinder, Therefore, the cross section is a (select) because the plane does not pass through the widest part of the cylinder, and its height is (select) v as the cylinder's.

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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--- ### Spatial Reasoning: Cross Sections of a Cylinder #### Describe the cross section of the figure. Complete the comparison of the dimensions of the cross section to those of the figure. Here is an image depicting a cylinder intersected by a plane. The task is to analyze and describe the resulting cross section. **Diagram Explanation:** - The diagram shows a right circular cylinder with a vertical plane intersecting it, resulting in a vertical cross-section. **Fill in the Blanks:** 1. **The bases of the cylinder are** - vertically **(Select: congruent circles / quadrilaterals / triangles)**, - so the cross section is a quadrilateral with at least one pair of opposite sides **(Select: parallel/inclined)**. 2. **The bases of the cylinder meet the lateral (curved) surface at right angles, so the cross section must contain** - **four** sides meeting at right angles. 3. **Therefore, the cross section is a** - rectangle **(Select: quadrilateral/rectangle/parallelogram)**. 4. **Its base is** - shorter **(Select: shorter/longer)** - than the diameter of the cylinder, - because the plane does not pass through the widest part of the cylinder and its height is - the same **(Select: shorter/the same/longer)** as the cylinder’s. ### Answer Check **You can verify your inputs for correctness by checking your answers.** --- This educational content helps students understand the geometric properties of cross sections formed by intersecting a cylinder with a plane.
Transcribed Image Text:--- ### Spatial Reasoning: Cross Sections of a Cylinder #### Describe the cross section of the figure. Complete the comparison of the dimensions of the cross section to those of the figure. Here is an image depicting a cylinder intersected by a plane. The task is to analyze and describe the resulting cross section. **Diagram Explanation:** - The diagram shows a right circular cylinder with a vertical plane intersecting it, resulting in a vertical cross-section. **Fill in the Blanks:** 1. **The bases of the cylinder are** - vertically **(Select: congruent circles / quadrilaterals / triangles)**, - so the cross section is a quadrilateral with at least one pair of opposite sides **(Select: parallel/inclined)**. 2. **The bases of the cylinder meet the lateral (curved) surface at right angles, so the cross section must contain** - **four** sides meeting at right angles. 3. **Therefore, the cross section is a** - rectangle **(Select: quadrilateral/rectangle/parallelogram)**. 4. **Its base is** - shorter **(Select: shorter/longer)** - than the diameter of the cylinder, - because the plane does not pass through the widest part of the cylinder and its height is - the same **(Select: shorter/the same/longer)** as the cylinder’s. ### Answer Check **You can verify your inputs for correctness by checking your answers.** --- This educational content helps students understand the geometric properties of cross sections formed by intersecting a cylinder with a plane.
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