Is this statement true or false? In a regular polygon, two consecutive radii and their included side form an equilateral triangle. false

In a regular polygon, the claim is indeed false. An equilateral triangle requires all three sides to be of equal length, which only happens in a regular polygon when the number of sides is three! In any regular polygon with more than three sides, the two consecutive radii will be equal, but the included side will be shorter, creating a triangle that is isosceles rather than equilateral. For example, in a regular pentagon, the angles formed at the center and the side length don’t allow for an equilateral formation. You can visualize this better by sketching out a pentagon with its radii; you'll see the angles are just too sharp to maintain equality among all three sides. Keep drawing those polygons to develop an instinct for their unique properties!