Polygon Property Test Quiz

A polygon with five sides is called a pentagon.

Equilateral figures are polygons with equal edges. The term "equilateral" refers to all sides of the polygon being of the same length. Therefore, this is the correct answer to the question. Isogonal figures refer to polygons with equal angles, tangential figures refer to polygons that can be inscribed within a circle, and cyclic figures refer to polygons that can be circumscribed around a circle.

The sum of interior angles in simple polygons is always 180 degrees. This is a well-known geometric property that applies to all polygons, regardless of the number of sides. Each interior angle in a polygon can be calculated using the formula (n-2) * 180, where n is the number of sides. Therefore, the correct answer is 180 degrees.

The sum of all angles forming a polygon is 360 degrees. This is because the sum of the interior angles of any polygon with n sides is equal to (n-2) * 180 degrees. Since a polygon can have any number of sides, the sum of the angles can vary. However, when we consider all possible polygons, the maximum sum of the angles occurs when the polygon has an infinite number of sides, which is a circle. In a circle, the sum of the angles is 360 degrees.

A complex polygon is not a type of polygon because a polygon is defined as a closed figure with straight sides. A complex polygon has intersecting sides, which violates the definition of a polygon. Simple polygon, concave polygon, and convex polygon are all valid types of polygons.

A simple polygon is a type of polygon that does not intersect itself. It is a closed figure made up of straight line segments where no two segments intersect except at their endpoints. In other words, a simple polygon does not have any self-intersections or overlapping sides. This distinguishes it from a complex polygon, concave polygon, or convex polygon, which may have self-intersections.

Abstract polygons are a type of polygon that is defined by its geometric properties rather than specific numerical values. These polygons are often used in abstract mathematics and can be described using algebraic equations or properties. Therefore, abstract polygons have algebraic properties. Special polygons, inscribed polygons, and tangential polygons may also have algebraic properties, but this is not necessarily true for all polygons in these categories.

Convex polygons are called simple polygons because they are made up of straight sides and do not intersect themselves. Each interior angle of a simple polygon is less than 180 degrees, and all vertices of the polygon point outwards. This distinguishes them from compound polygons, which are made up of multiple simple polygons joined together, special polygons, which have specific properties or characteristics, and other types of polygons that may have intersecting sides or angles greater than 180 degrees.

Rectilinear polygons are polygons that have all sides perpendicular to each other. This means that the angles formed between the sides of the polygon are all right angles. Therefore, the correct answer for this question is rectilinear polygons.

An axial polygon is not a variety of polygon because it does not meet the definition of a polygon. A polygon is a closed figure with straight sides, while an axial polygon has curved sides. Therefore, an axial polygon cannot be classified as a variety of polygon.