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Is it true that in a polygon all sides are congruent and all angles are congruent?
No, it is not true that in a polygon all sides and angles are congruent. A polygon with all sides congruent is called a regular polygon, but there are also irregular polygons where the sides and angles can vary. For example, a rectangle has congruent opposite sides but not all sides are equal, and its angles are congruent but not all angles need to be equal in other types of polygons. Thus, congruence in sides and angles only applies to regular polygons.
A polygon is regular if and only if the sides are congruent?
Yes and providing that its interior angles are congruent as well because whilst a square is a regular polygon a rhombus is not a regular polygon although it has 4 equal sides its interior angles are not congruent.
Polygon with all sides congruent is?
Regular * * * * * Equilateral. It is regular only if all its angles are also congruent. A rhombus is NOT a regular polygon, a square is the only regular quadrilateral.
How does a regular polygon differ from an irregular polygon?
regular polygons have all sides and angles congruent but irregular polygons only need to have a certain amount of sides
What is a polygon in which all sides are congruet and allangles are congruet?
A polygon in which all sides are congruent and all angles are congruent is called a regular polygon. Examples include equilateral triangles and regular hexagons. In these shapes, not only are the lengths of the sides equal, but the measures of the interior angles are also equal. Regular polygons exhibit symmetry and uniformity in their structure.
What polygon has only two congruent sides and two congruent angles?
How about an isosceles triangle of which 2 of its 3 sides are congruent and 2 of its 3 angles are congruent
A polygon is regular if and only if the sides are congruent?
Yes and providing that its interior angles are congruent as well because whilst a square is a regular polygon a rhombus is not a regular polygon although it has 4 equal sides its interior angles are not congruent.
Are all polygons regular?
Not all polygons are regular by definition. An irregular polygon may have non-congruent sides or non congruent angles or both. A regular polygon will always have both congruent sides and angles.
Polygon with all sides congruent is?
Regular * * * * * Equilateral. It is regular only if all its angles are also congruent. A rhombus is NOT a regular polygon, a square is the only regular quadrilateral.
What does a polygon with all congruent sides is regular mean?
It means that the person writing the statement does not fully understand what "regular" means.A polygon is regular if, and only if, all its sides are congruent andall its angles are congruent.A rhombus, for example, has all its sides congruent but a rhombus is not a regular quadrilateral.It means that the person writing the statement does not fully understand what "regular" means.A polygon is regular if, and only if, all its sides are congruent andall its angles are congruent.A rhombus, for example, has all its sides congruent but a rhombus is not a regular quadrilateral.It means that the person writing the statement does not fully understand what "regular" means.A polygon is regular if, and only if, all its sides are congruent andall its angles are congruent.A rhombus, for example, has all its sides congruent but a rhombus is not a regular quadrilateral.It means that the person writing the statement does not fully understand what "regular" means.A polygon is regular if, and only if, all its sides are congruent andall its angles are congruent.A rhombus, for example, has all its sides congruent but a rhombus is not a regular quadrilateral.
How does a regular polygon differ from an irregular polygon?
regular polygons have all sides and angles congruent but irregular polygons only need to have a certain amount of sides
What is a parallelogram with 2 congruent sides and two congruent angles?
A parallelogram cannot have only two congruent sides, nor only two congruent angles.
Does a polygon have all congruent sides?
Only when it's a regular polygon.
Is the isosceles triangle the only triangle with congruent sides and angles?
In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.
Polygon with all sides congruent?
It is an equilateral polygon. However, it is NOT a regular polygon. For that to be the case, it would also have to be equiangular: that is, all its angles must also be congruent. It is only in the case of triangles that being equilateral implies equiangularity and therefore regularity.
Is a trapezoid an irregular polygon?
Yes, the only four-sided regular polygon is a square, because all of its angles and sides are congruent. This does not apply to a trapezoid, so it is irregular.
Can a regular polygon have equal sides and equal angles?
Not only can a regular polygon have equal angles and sides, it must have them.
