Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question
**Title: Understanding Convex and Concave Figures** **Objective:** Learn to identify convex and concave figures and understand the differences between them. **Question:** Which of the following figures are convex and which are concave? Why? **Illustrations:** - **Figure (a):** A shape resembling a triangle with curved sides. - **Figure (b):** A shape with two symmetrical inward curves. - **Figure (c):** A shape with an inward curve resembling a crescent. - **Figure (d):** A shape with sharp angles creating a non-standard polygon. **Activity:** (a) Is figure (a) convex or concave? Choose the correct answer below. - ○ concave - ○ convex **Concept Explanation:** A **convex** shape is one where a line segment joining any two points within the shape lies entirely inside it. A **concave** shape has at least one line segment joining two points within the shape that passes outside of it. **Interactive Exercise:** - Review each figure and use the definitions provided to determine if each one is convex or concave. - Engage with the interactive question to test your understanding. **Additional Resources:** - Explore more examples and practice problems to reinforce your understanding. - Click "Get more help" for further assistance or to connect with a tutor.
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Transcribed Image Text:**Title: Understanding Convex and Concave Figures** **Objective:** Learn to identify convex and concave figures and understand the differences between them. **Question:** Which of the following figures are convex and which are concave? Why? **Illustrations:** - **Figure (a):** A shape resembling a triangle with curved sides. - **Figure (b):** A shape with two symmetrical inward curves. - **Figure (c):** A shape with an inward curve resembling a crescent. - **Figure (d):** A shape with sharp angles creating a non-standard polygon. **Activity:** (a) Is figure (a) convex or concave? Choose the correct answer below. - ○ concave - ○ convex **Concept Explanation:** A **convex** shape is one where a line segment joining any two points within the shape lies entirely inside it. A **concave** shape has at least one line segment joining two points within the shape that passes outside of it. **Interactive Exercise:** - Review each figure and use the definitions provided to determine if each one is convex or concave. - Engage with the interactive question to test your understanding. **Additional Resources:** - Explore more examples and practice problems to reinforce your understanding. - Click "Get more help" for further assistance or to connect with a tutor.
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