Section 1
Definition of a Regular Polygon
Property
A regular polygon is a flat shape where all sides are the exact same length (congruent sides) and all inside angles are the exact same size (congruent angles).
Examples
- A square is a regular quadrilateral because all four of its sides are equal and all four of its angles are exactly 90 degrees.
- An equilateral triangle is a regular polygon because it has three equal sides and three equal angles of 60 degrees.
- A standard rectangle is NOT a regular polygon. Even though its angles are all equal (90 degrees), its adjacent sides are different lengths.
Explanation
A regular polygon is the superstar of the shape world! Imagine a shape where everything is perfectly balanced and fair. No side is longer and no corner is wider—it is pure geometric harmony. Whenever you see the word "regular" in geometry, just think: "Perfectly equal in every way."