True. A regular polygon, which has all sides and angles equal, is always convex. This means that all interior angles are less than 180 degrees, and any line segment connecting two points within the polygon lies entirely inside it.
True. A convex polygon with more than four sides that has congruent interior angles must also have congruent sides, making it a regular polygon. Regular polygons are defined by having both equal angles and equal side lengths. Therefore, if a convex polygon has congruent interior angles, it is necessarily regular.
true
true
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
True, an equilateral triangle has three equal interior angles of 60 degrees.
True. A convex polygon with more than four sides that has congruent interior angles must also have congruent sides, making it a regular polygon. Regular polygons are defined by having both equal angles and equal side lengths. Therefore, if a convex polygon has congruent interior angles, it is necessarily regular.
true
true
False
False
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
True
true
False. Rays reflected from a convex mirror do not always converge. In the case of a convex mirror, the reflection causes the rays to diverge away from each other.
True, an equilateral triangle has three equal interior angles of 60 degrees.
360 degrees (this is true with any convex polygon)
true