# If all four sides of a quadrilateral are congruent will the angles be congruent too?

Not necessarily

A quadrilateral with all its sides congruent is a rhombus, which typically does not have all its angles congruent.

A quadrilateral with all its angles congruent also does not necessarily imply that all its sides will have congruent length. In such cases you have a rectangle.

When a quadrilateral has all its sides and angles congruent is a square.

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No, all four sides of a quadrilateral being congruent does not necessarily imply that the angles will be congruent. The angles of a quadrilateral can vary independently of the lengths of its sides. For example, a square has all four sides congruent, but its angles are all right angles. In contrast, a rhombus also has all four sides congruent, but its angles are not necessarily right angles. Therefore, the congruence of sides does not guarantee the congruence of angles in a quadrilateral.

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