Math Problem Statement
What are the names of these polygons? (Image contains shapes labeled a, b, c, d with respective polygon sides to identify.)
Solution
Let’s analyze the image and identify the names of the polygons:
Explanation:
- Polygon naming depends on the number of sides and whether the shape is convex or concave. Here's the analysis:
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a) The polygon has 7 sides.
- Name: Heptagon (a convex shape with seven sides).
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b) The polygon has 9 sides.
- Name: Nonagon (a convex shape with nine sides).
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c) This polygon has 5 sides, but it is concave (one angle points inward).
- Name: Concave Pentagon.
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d) This polygon has 6 sides and is also concave.
- Name: Concave Hexagon.
Would you like further clarification or details on polygons?
5 Related Questions:
- What is the difference between convex and concave polygons?
- How do you calculate the sum of the interior angles of a polygon?
- What are some real-world examples of polygons?
- How can you classify a polygon by symmetry?
- What are regular vs. irregular polygons?
Tip:
For any polygon, the formula for the sum of interior angles is , where is the number of sides.
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Math Problem Analysis
Mathematical Concepts
Polygon classification
Convex and concave polygons
Properties of polygons
Formulas
Sum of interior angles = (n-2) × 180°
Theorems
Polygon side-count theorem for naming polygons
Suitable Grade Level
Grades 6-8