Q: A regular polygon is a convex polygon with all sides congruent and all angles?

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true

with all sides equal (congruent) AND all angles equal (congruent). In these circumstnces the adjective "convex" is redundant.

Not necessarily. A convex heptagon is a polygon but it need not have all sides and angles congruent.

That doesn't have a special name. If all the angles are also congruent (and convex), then it is called a regular polygon.

Convex polygons with congruent sides and congruent angles are called regular polygons.

Related questions

A convex polygon with congruent sides and congruent angles is a regular polygon.Some regular pilgrims have specific names: Equilateral triangle and square

Yes

congruent; congruent

true

with all sides equal (congruent) AND all angles equal (congruent). In these circumstnces the adjective "convex" is redundant.

Not necessarily. A convex heptagon is a polygon but it need not have all sides and angles congruent.

That is called a regular polygon.

That doesn't have a special name. If all the angles are also congruent (and convex), then it is called a regular polygon.

yes

Convex polygons with congruent sides and congruent angles are called regular polygons.

It is a regular polygon.

Only when the polygon is a regular convex polygon. Such as an equilateral triangle, or a square, or a regular pentagon.