No, it cannot - unless it was a rectangle to start with.
Yes, they will be the same size and shape as each other.
you get a trapezoid
If the heights and bases are the same, then the triangle is half the area of the parallelogram.
a circle
You can divide the square from a point halfway between two of the corners to a similar point on the opposite side, to produce to rectangles. You can do this vertically or horizontally, but the result is the same. The second method is to divide the square from one corner to the corner directly opposite to it, in effect dividing the square into two triangles.
Yes.
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).
Yes
Yes
no
Yes.
Yes.
Yes, you can cut a rectangle any way you please.
They make two congruent rectangles, not to rectangles! This is because the line joining the midpoints of opposite sides are lines of [reflective] symmetry.