Yes.
Yes.
Yes.
Yes cutting a rectangle in half (either horizontally or vertically) will yield two smaller rectangles (each of which is the same size and shape as the other).
They make two congruent rectangles, not to rectangles! This is because the line joining the midpoints of opposite sides are lines of [reflective] symmetry.
Yes
Yes
Yes.
Yes.
no
Yes, you can cut a rectangle any way you please.
yes Sometimes those rectangles could be squares, which are by definition a type of rectangle.
Yes.