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Polygon Definition and Properties
A polygon is a closed shape made up of straight lines. It has sides, vertices, and angles. One of the key properties of a polygon is that all its sides are equal in length, and all its interior angles are equal in measure.

Equal Sides
In a polygon, all sides are of the same length. This means that if you were to measure each side with a ruler, they would all have the same measurement. For example, in a square, all four sides are equal in length.

Equal Angles
Similarly, in a polygon, all interior angles are equal in measure. This means that if you were to use a protractor to measure the angles inside the polygon, they would all have the same degree measurement. For example, in a regular hexagon, all interior angles are equal.

Example of a Polygon with Equal Sides and Angles
An example of a polygon with all sides and angles equal is an equilateral triangle. In an equilateral triangle, all three sides are equal in length, and all three interior angles are equal at 60 degrees each.
In conclusion, a polygon is a shape with all sides and angles equal in measure. This property distinguishes polygons from other shapes and plays a crucial role in their classification and properties.