Yes. It's called a 'special case' of a rectangle.
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Yes, a square is a special type of Rectangle
A square one
A square is a type of rectangle and the square is also a type of any other quadrilateral (four-sided figure)
A diamond is not a square it is a jewel type shape.
Yes, a square is a special type of parallelogram. Every square has two pairs of parallel sides, which is the condition for being a parallelogram.