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
You cannot. With only the base given (a parallelogram) you don't even know what the shape is: it could be a parallelepiped, or a parallelogram based pyramid or one of several other shapes.
Yes it does. That's why it's called a parallelogram.
ANSWER: A parallelogram (It can also be called a trapezoid) ... but a trapezoid is not a parallelogram!
polygon pentagon parallellagram pyramid
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 3d parallelogram is called a "Parallelepiped"
Pentagon Parallelogram Pie-shaped Polygon Pyramid
Pentagon Parallelogram Pie-shaped Polygon Pyramid
a square a rectangle and a parallelogram
A 3d parallelogram is called a "Parallelepiped"
A cuboid and a pyramid for examples.
Because it is formed of pairs of parallel lines.
A parallelogram is a 4 sided quadrilateral.
pentagon parallelogram polygon pyramid
A square based pyramid is called a square pyramid