Questions and Answers
What is the number of sides in a triangle?
How many sides does a quadrilateral have?
4
What defines a pentagon?
5
How many sides does a hexagon have?
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What is the number of sides in a heptagon?
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An octagon is a polygon with how many sides?
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Define the number of sides in a nonagon.
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How many sides does a decagon have?
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How many sides does a dodecagon have?
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What is the general term for a polygon with N sides?
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All sides of an equilateral polygon are congruent.
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In an equiangular polygon, all angles in the interior are congruent.
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A regular polygon is convex and both equilateral and equiangular.
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Is a decagon regular?
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Can a concave polygon be regular?
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What is a convex polygon?
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What is a concave polygon?
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Define a polygon.
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Study Notes
Classification of Polygons
- Triangle: 3 sides.
- Quadrilateral: 4 sides.
- Pentagon: 5 sides.
- Hexagon: 6 sides.
- Heptagon: 7 sides.
- Octagon: 8 sides.
- Nonagon: 9 sides.
- Decagon: 10 sides.
- Dodecagon: 12 sides.
- N-gon: A polygon with N sides, where N can be any integer.
Types of Polygons
- Equilateral Polygon: All sides are congruent (equal in length).
- Equiangular Polygon: All interior angles are congruent (equal in measure).
- Regular Polygon: A convex polygon that is both equilateral and equiangular.
Polygon Regularity
- A decagon is regular sometimes, indicating that not all decagons have equal sides and angles.
- A concave polygon is regular never, as concave shapes have at least one inward angle.
Polygon Characteristics
- Convex Polygon: No line containing a side of the polygon contains a point in the interior, meaning all interior angles are less than 180 degrees.
- Concave Polygon: A polygon that is not convex, characterized by having at least one interior angle greater than 180 degrees.
Studying That Suits You
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Description
Test your knowledge of different polygons with these flashcards. Each card provides the name of a polygon along with its defining number of sides. Perfect for students looking to reinforce their understanding of geometry.
