Some have symmetry , but not all !!!
Square, Rectangle, Rhombus, Kite all have symmetry.
A trapezium can be both asymmetric, and symmetric.
The quadrilaterals that always have both line symmetry and rotational symmetry are squares and rectangles. Squares have four lines of symmetry and rotational symmetry of order 4, while rectangles have two lines of symmetry and rotational symmetry of order 2. Other quadrilaterals, like rhombuses and parallelograms, may have one type of symmetry but not both. Thus, squares and rectangles are the only quadrilaterals that consistently possess both symmetries.
A square
Types of quadrilaterals that have lines of symmetry: squares, rectangles, some rhombuses (standard diamond shape), boomerang shape, and trapezoids.
trapezoid for one
There are two quadrilaterals with 2 lines of symmetry. A rhombus and a rectangle (if they are not also a square)
Not all 4 sided quadrilaterals have lines of symmetry.
square
Not all 4 sided quadrilaterals have lines of symmetry although some of them do have lines of symmetry.
Parallelograms
Squares.
A square
No.
Types of quadrilaterals that have lines of symmetry: squares, rectangles, some rhombuses (standard diamond shape), boomerang shape, and trapezoids.
yes
trapezoid for one
Rhombus
A square