Is it a polygon?

Key Notes :

🎈 A polygon is a closed figure with straight sides. A closed figure starts and ends at the same point.

A polygon is a flat, two-dimensional shape that has the following characteristics:

1. Straight Sides: Polygons are made up of straight line segments, called sides or edges, that connect to form a closed shape.
2. Closed Shape: The sides of a polygon must connect to form a closed path, with no gaps or open ends.
3. At Least Three Sides: A polygon must have at least three sides. Shapes with fewer sides (such as two sides) are not considered polygons.

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Based on these characteristics, to determine if a shape is a polygon, you can ask the following questions:

1. Are all the sides straight?
   • If any side is curved or not straight, the shape is not a polygon.
2. Is the shape closed?
   • If the sides do not form a closed loop (they don’t all connect back to each other), the shape is not a polygon.
3. Does the shape have at least three sides?
   • If the shape has fewer than three sides, it is not a polygon.

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Examples:

• Triangle: Has 3 straight sides and is closed. (Yes, it is a polygon)
• Square: Has 4 straight sides and is closed. (Yes, it is a polygon)
• Rectangle: Has 4 straight sides and is closed. (Yes, it is a polygon)
• Pentagon: Has 5 straight sides and is closed. (Yes, it is a polygon)
• Circle: Has a curved side and is closed. (No, it is not a polygon)
• Line segment: Has only 1 side and is not closed. (No, it is not a polygon)

Learn with an example

Let’s practice!🖊️