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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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