Math Problem Statement
What kind of polygon is this?
Solution
The polygon in the image appears to be a convex polygon.
A convex polygon has all interior angles less than 180°, and none of its diagonals lie outside the polygon. In contrast, a concave polygon would have at least one angle greater than 180° and some diagonals outside the polygon.
Would you like further details or have any questions?
Here are five related questions:
- What are the characteristics of concave polygons?
- How do you calculate the sum of interior angles in any polygon?
- Can a convex polygon ever have an angle greater than 180°?
- What is the difference between a regular and an irregular polygon?
- How many diagonals can a polygon have, and how do you calculate it?
Tip: For any polygon with sides, the sum of interior angles is given by the formula .
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Math Problem Analysis
Mathematical Concepts
Geometry
Polygons
Convex and Concave Polygons
Formulas
Sum of interior angles formula: (n - 2) × 180°
Theorems
Convex Polygon Properties
Concave Polygon Properties
Suitable Grade Level
Grades 6-8