Math Problem Statement
8d2a9702-f398-54c6-37d3-1ba767d57e49.jpg find out how many sides it has and if it’s convex or concave also figure out if its a hexagon, pentagon, octagon, or quadrilateral
Solution
Looking at the polygon in the image, I can count the sides to answer your question:
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Counting the sides: The polygon has 6 sides.
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Convex or Concave: The polygon is concave. This is because at least one of its interior angles is greater than 180°, as indicated by the inward indentation on the top left side.
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Name of the polygon: Since it has 6 sides, the polygon is a hexagon.
Would you like more details on any of these concepts?
Here are some relative questions to consider:
- What is the difference between a concave and a convex polygon?
- How do we classify polygons with more than 6 sides?
- What are the characteristics of a regular hexagon compared to an irregular one?
- Can a concave polygon ever be regular, and why or why not?
- How do the interior and exterior angles differ between convex and concave polygons?
Tip: A quick way to check if a polygon is concave is to see if you can draw any line through the shape that crosses its boundary more than twice.
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Math Problem Analysis
Mathematical Concepts
Geometry
Polygon Classification
Convexity and Concavity
Formulas
No specific formulas; relies on counting sides and analyzing angles for concavity or convexity.
Theorems
Polygon Classification Theorem
Concave vs Convex Properties
Suitable Grade Level
Grades 6-8