It will make two squares.
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yes Sometimes those rectangles could be squares, which are by definition a type of rectangle.
Yes.
No. There is no way you can cut one rectangle in half and only get one square. The other half would also have to be a square and this will only happen if the proportions are 1:2 and you cut the long sides.There are infinitely many ways to cut a rectangle in half none of which result in new rectangles. Only if the rectangle has proportions 1:2 can cutting it in half make a square, in fact the result could be two squares, not one.
Rectangles are not squares. The reason to this is because squares must have sides of equal lengths. Rectangles are quadrilaterals with sides that join to make 90 degree angles, but are not restricted to having the same length. Therefore "all squares are rectangles", but rectangles cannot be squares.
Yes.