The shape has to be a parallelogram since it has no lines of symmetry and all sides are equal and parallel
square
Pentagon
No, they are not.
A regular pentagon.
Parallelogram
square
Pentagon
The diagonals of a rectangle aren't lines of symmetry unless it's square.
No, they are not.
A regular pentagon.
Parallelogram
There are no lines of symmetry; However, the lines opposite are parallel to each other
a square
Yes, it is possible for a shape to have at least one pair of parallel lines and no lines of symmetry. For example, an irregular trapezoid has one pair of parallel sides but lacks any lines of symmetry due to its uneven angles and side lengths. This demonstrates that parallel lines and symmetry are independent properties in geometric shapes.
square and rectangles are technicality squares
An isosceles trapezoid.
The answer is any rectangle that is not a square: such a rectangle has two lines of symmetry, whereas a square has four.