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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.

Q: What are the similarities between regular polygon and a concave polygon?

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No. There can be no regular concave 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.

No, a concave polygon cannot be a regular polygon.

No.

no

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No. There can be no regular concave 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.

No, a concave polygon cannot be a regular polygon.

A regular polygon has all the side the same length and the same measures of angels. * * * * * Or measures of angles, even! A concave polygon has at least one angle that is reflex (between 180 and 360 degrees).

No.

no

no

No.

it is impossible

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.

A concave polygon cannot be regular because regularity requires all angles (and sides)to be of equal measure. Even if you drop the requirement of regularity, there cannot be a concave triangle.

because the point of origin would be on an outer point and around it the walls seem to cave in making it seem concave, in comparison to a regular polygon. When checking for concave polygons always compare what you are looking at to a regular polygon