"Square" is not an alternative name for "parallelogram". A square is a very special case of
parallelogram, i.e. it's a parallelogram with more restrictions and conditions placed on it.
There are several names for different 4-sided figures, but no two of them are choices of names
for the same 4-sided figure. Each one has a slightly different description from all the others.
Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram
A square and rectangle.
A square, a rectangle and a parallelogram.
rectangle square rhombus parallelogram trapezoid
A rhombus is a 4 sided quadrilateral as is a parallelogram.
The rhombus, rectangle, and square are special types of parallelograms.
Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram
A parallelogram is also a quadrilateral.
If it is a square or a rectangle, then yes, it will have lines of symmetry. But if you're thinking of your typical parallelogram that does not have another name, then no, it does not have lines of symmetry. Basically, no.
A SQUARE A rectangle satisfies the angles but not the lengths. A rhombus satisfies the length, but not the angles. A parallelogram neither satisfies length nor angles.
kite
quadrilateral
square
A quadrilateral, a rectangle, a parallelogram
A square
a square
A parallelogram is a 4-sided figure whose opposite sides are parallel. and opposite angles are the same. The opposite sides of a rhombus are parallel, therefore it's a parallelogram. Its sides also happen to be all the same length, which isn't required in a parallelogram, and that's why it's a special kind of parallelogram and has a special name. However, a parallelogram is NOT a rhombus!