CEOMEINL

The radii of a regular polygon are congruent.

In any regular polygon, all sides and angles are equal, which also means that the radii (the line segments drawn from the center to each vertex) are indeed congruent. This is because the vertices are equidistant from the center, creating uniformity in the lengths of the radii regardless of the number of sides. So yes, the statement is true—regular polygons wear matching radii like a perfectly coordinated outfit!

Additionally, think of a regular polygon as being inscribed in a circle where that circle is called the circumcircle. Since all vertices touch this circle, every radius drawn to a vertex from the center will measure exactly the same length! Imagine a pizza with equally spaced slices; each point you reach from the center to a tip of a slice will be the same distance away—now that’s some delicious geometry!