Name the polygon according to its number of sides. Classify it as either concave or convex and explain why. Use the paperclip button below to attach files.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 20E
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### Geometry Exercise

#### Question:
Name the polygon according to its number of sides. Classify it as either concave or convex and explain why.

**Diagram:**
The diagram shows an eight-sided polygon (an octagon).

#### Explanation:
1. **Polygon Name:**
   - The polygon shown has eight sides, so it is called an octagon.

2. **Convex or Concave:**
   - The polygon is convex. 
   - **Reason:** A polygon is classified as convex if all its interior angles are less than 180 degrees and none of its sides extend inward. In the given diagram, all interior angles are less than 180 degrees and no sides appear to extend inward, therefore, this polygon is convex.

#### Additional Instruction: 
Use the paperclip button below to attach files.
Transcribed Image Text:### Geometry Exercise #### Question: Name the polygon according to its number of sides. Classify it as either concave or convex and explain why. **Diagram:** The diagram shows an eight-sided polygon (an octagon). #### Explanation: 1. **Polygon Name:** - The polygon shown has eight sides, so it is called an octagon. 2. **Convex or Concave:** - The polygon is convex. - **Reason:** A polygon is classified as convex if all its interior angles are less than 180 degrees and none of its sides extend inward. In the given diagram, all interior angles are less than 180 degrees and no sides appear to extend inward, therefore, this polygon is convex. #### Additional Instruction: Use the paperclip button below to attach files.
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