♡ Define the following terms
(a) Ragulas Polygons
(6) irregular
Polygons
(c) Conver polygons
(d) concave Polygons
Answers
Answer:
a). regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex or star.
b)An irregular polygon is any polygon that is not a regular polygon. It can have sides of any length and each interior angle can be any measure. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same.
c)A convex polygon has no interior angle greater than 180° (it has no inward-pointing sides).
d) A concave polygon has one interior angle greater than 180°. A simple polygon encloses a single interior space (boundary) and does not have self-intersecting sides.
Answer:
a) Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides).
b) A polygon is "regular" only when all angles are equal and all sides are equal, otherwise it is irregular polygons
c) A planar polygon is convex if it contains all the line segments connecting any pair of its points. Thus, for example, a regular pentagon is convex (left figure), while an indented pentagon is not (right figure).
d) concave polygon is a polygon that is not convex. A simple polygon is concave iff at least one of its internal angles is greater than. . An example of a non-simple (self-intersecting) polygon is a star polygon. A concave polygon must have at least four sides.