Yes
squares
The two quadrilaterals are squares.
Yes
There are infinite amounts of quadrilaterals that have sides that aren't all equal. In regular quadrilaterals, however there are rectangles and kites that have uneven lengths of sides.
All kites are quadrilaterals, but quadrilaterals are not kites.
All parallelograms are quadrilaterals but all quadrilaterals are not necessarily parallelograms
No, one example is a kite that DOES NOT have two right angles. It is not a cyclic quadrilateral. A kite that does have two right angles is one.
Square and rectangle
a square and a rhombus
Trapezoids. All other quadrilaterals either have two pairs of parallel sides or none.
All quadrilaterals are 4 sided shapes which includes trapezoids.
They are quadrilaterals which have two pairs of parallel sides.