Properties of Quadrilaterals

A quadrilateral is a polygon with four sides, four vertices, and four angles.

A parallelogram has two sets of parallel sides, opposite sides that are equal in length, and opposite angles that are equal.

A rectangle is a parallelogram with four right angles.

A rhombus is a parallelogram with all four sides of equal length.

A square is a quadrilateral that is both a rectangle and a rhombus, having all sides equal and all angles right.

All squares are rectangles, but not all rectangles are squares.

All squares are rhombuses, but not all rhombuses are squares.

Congruent angles are angles that have the same measure.

In a parallelogram, the diagonals bisect each other, meaning they cut each other in half.

A trapezoid is a quadrilateral with at least one pair of parallel sides.