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The shape above is NOT a polygon because: there are two segments. the shpe includes a curve. there is one vertex. the shape is closed. DO00

The shape above is NOT a polygon because: there are two segments. the shpe includes a curve. there is one vertex. the shape is closed. DO00

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 Polygons: Why Some Shapes Do Not Qualify** The given shape in the image is a closed figure that appears similar to a 'D'. Unlike polygons, this shape does not consist solely of straight lines. **Question:** The shape above is NOT a polygon because: 1. there are two segments. 2. the shape includes a curve. 3. there is one vertex. 4. the shape is closed. **Explanation:** To qualify as a polygon, a shape must adhere to specific criteria: - It must be a closed figure. - It must consist entirely of straight line segments. - It must have vertices where line segments meet. The shape in the image is excluded from being considered a polygon primarily because **the shape includes a curve** (option 2). Polygons cannot contain curves; they must be straight-edge figures. Select the appropriate answer that clearly identifies why the given shape does not meet the definition of a polygon.
Transcribed Image Text:**Understanding Polygons: Why Some Shapes Do Not Qualify** The given shape in the image is a closed figure that appears similar to a 'D'. Unlike polygons, this shape does not consist solely of straight lines. **Question:** The shape above is NOT a polygon because: 1. there are two segments. 2. the shape includes a curve. 3. there is one vertex. 4. the shape is closed. **Explanation:** To qualify as a polygon, a shape must adhere to specific criteria: - It must be a closed figure. - It must consist entirely of straight line segments. - It must have vertices where line segments meet. The shape in the image is excluded from being considered a polygon primarily because **the shape includes a curve** (option 2). Polygons cannot contain curves; they must be straight-edge figures. Select the appropriate answer that clearly identifies why the given shape does not meet the definition of a polygon.
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