Quadrilaterals are four-sided polygons, and some of them have diagonals that are congruent, meaning the diagonals are of equal length. The quadrilaterals that have congruent diagonals are:
- Rectangle: A rectangle has two pairs of opposite sides that are equal and all angles are right angles. The diagonals of a rectangle are congruent and bisect each other.
- Square: A square is a special type of rectangle where all sides are equal. The diagonals of a square are congruent, bisect each other, and are perpendicular to each other.
- Isosceles Trapezoid: An isosceles trapezoid has one pair of parallel sides and the non-parallel sides are equal in length. The diagonals of an isosceles trapezoid are congruent.
These are the main quadrilaterals where the diagonals are congruent. Understanding these properties helps in solving geometric problems and proofs.