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

In a regular polygon, the statement is actually false. While two consecutive radii do indeed form equal angles with the center of the polygon, they do not automatically create an equilateral triangle with the included side unless the polygon is specifically an equilateral triangle itself. For example, in a regular hexagon, the included side is shorter than the two radii, leading to an isosceles triangle instead! Now, if you're ever in a geometry bind, remember to visualize the scenario! Draw a sketch of the polygon and label the radii and sides. This will help you see the relationships and clarify any confusion about angles and side lengths. Don't forget: a common mistake is assuming measurements are equal without validating it through geometric principles!