a square piramyd
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It depends on the pyramid. If it is a square based pyramid, a horizontal plane will give a square cross section, a plane inclined by a rotation parallel to one of the base axes will give a rectangular cross section whereas a plane inclined by rotation along both basal axes will result in a parallelogram cross section. Not sure how you get a parallelogram from a pentagonal or hexagonal (etc) pyramid.
a square a rectangle and a parallelogram
Yes it does. That's why it's called a parallelogram.
How about a rhombus which is a 4 equal sided parallelogram
ANSWER: A parallelogram (It can also be called a trapezoid) ... but a trapezoid is not a parallelogram!