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A regular polygon has all its sides equal and all its angles equal. One consequence is that no angle can be reflex (between 180 and 360 degrees). A concave polygon, on the other hand, must have at least one angle that is a reflex angle.
The line joining any two points inside any convex polygon (and that includes regular ones) must lie wholly within the polygon. In a concave polygon, it must be possible to find two point inside the polygon such that the line joining them crosses the boundaries of the polygon.
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What is the difference between a concave polygon and a convex polygon?
Any polygon that has an angle that is > 180º is a concave polygon. A convex polygon does not. e.g. All regular polygons are convex.
What are the similarities between regular polygon and a concave polygon?
A regular polygon is a special kind of convex polygon - one in which all the sides are of the same length and all the angles are equal. Convex and concave polygons form disjoint sets: so no concave polygon can be regular.
A square is an example of a quadrilateral that is both a regular concave polygon and a regular convex polygon?
No. There can be no regular concave polygon.
Is a concave polygon a regular polygon?
No, a concave polygon cannot be a regular polygon.
Can a concave figure be a regular polygon?
No.
