For the shown figure:
The answer of 1):
The names of the shapes are correct
inside the parallelogram, we have: a square inside a rhombus and a square inside a rectangle
And we also have a trapezoid
The answer of 2:
The trapezoid inside the quadrilateral but outside the parallelogram because for the parallelogram every two opposite sides are parallel but the trapezoid not.
both of the parallegram and trapezoid are quadrilaterals
The answer of 3:
The opposite sides of the rhombus and the rectangle are parallel like the prallelgram
The answer of 4:
There is a square inside the rhombus because the diagonals of both of them are perpendicular
There is a square inside a rectangle because the adjacent sides are perpendicular and the opposite sides are parallel
The answer of 5:
the two observations are:
1) All the shapes are quadrilateral
2) The shapes that have every two opposite sides are parallel are inside the parallelogram.