Congruent quadrilaterals are four-sided polygons that are identical in shape and size. This means that if you were to lay one quadrilateral on top of the other, they would match up perfectly without any gaps or overlaps.
For two quadrilaterals to be considered congruent, all their corresponding sides and angles must be equal. That is, each side of one quadrilateral must be the same length as the corresponding side of the other, and each angle in one quadrilateral must match the angle in the other.
Congruence can be established through various methods such as side-side-side (SSS), side-angle-side (SAS), or angle-side-angle (ASA) congruence criteria. For example, if you know that three sides and one angle of one quadrilateral are equal to those of another, you can conclude that the quadrilaterals are congruent.
In practical applications, understanding congruent quadrilaterals can help in fields like architecture, engineering, and graphic design, where precise shapes are crucial.