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Questions and Answers
What defines a polygon in geometry?
What defines a polygon in geometry?
- A shape formed by connecting random points
- A closed figure with straight line segments (correct)
- A three-dimensional object with flat faces
- An open figure with curved edges
Which of the following is NOT a type of polygon?
Which of the following is NOT a type of polygon?
- Triangle
- Pentagon
- Quadrilateral
- Circle (correct)
How many sides does a hexagon have?
How many sides does a hexagon have?
- 8
- 6 (correct)
- 5
- 7
What is the sum of the interior angles of a polygon with 7 sides?
What is the sum of the interior angles of a polygon with 7 sides?
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Which type of polygon has all sides and angles equal?
Which type of polygon has all sides and angles equal?
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Study Notes
Definition of Polygon
- A polygon is a closed two-dimensional geometric figure with straight sides.
- The sides must be non-intersecting.
- Polygons can be classified based on the number of sides they have.
Types of Polygons
- Common types include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), heptagons (7 sides), and octagons (8 sides).
- A non-polygonal shape includes circles and curves, as they do not have straight sides.
Hexagon
- A hexagon has six sides.
- It can be regular (with equal side lengths and angles) or irregular.
Interior Angles of a Polygon
- The formula for the sum of interior angles in a polygon is (n - 2) × 180°, where n is the number of sides.
- For a polygon with 7 sides (heptagon), the sum of the interior angles is (7 - 2) × 180° = 900°.
Regular Polygons
- A regular polygon has all sides and all angles equal.
- Examples include an equilateral triangle and a square.
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Description
This quiz explores the fundamental concepts of polygons in geometry. You will learn about different types of polygons, properties like side counts, and the calculations of angles. Test your knowledge on how polygons are classified and their characteristics.
