Yes, a trapezoid can be a cross section of a rectangular pyramid. When a plane intersects the pyramid parallel to one of its bases, the resulting cross section will be a trapezoid if the plane cuts through the sides of the pyramid. The top base of the trapezoid will be shorter than the bottom base due to the tapering shape of the pyramid.
It is a rectangle which is similar to the base.
It is a rectangle which is similar to (but smaller than) the rectangular base.
A prism can have a triangular cross-section with a rectangular base
A circle.
A cross section of a rectangular pyramid through its vertex and perpendicular to its base creates a triangular shape. This triangle's base corresponds to one of the edges of the rectangular base, while its apex is at the vertex of the pyramid. The height of the triangle is determined by the vertical distance from the vertex to the base.
trapezoid
It is a rectangle which is similar to the base.
triangle
It is a rectangle which is similar to (but smaller than) the rectangular base.
A triangular prism has a uniformed cross-section whereas a rectangular pyramid does not.
A rectangular prism has the same cross section throughout its length, a pyramid doesn't however
A prism can have a triangular cross-section with a rectangular base
A circle.
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.
cone, cylinder, rectangular prism, square pyramid and triangular prism
A cylinder has a circular cross section, a rectangular prism has a rectangular cross section.
A rectangular prism has a rectangular cross section whereas a cylinder has a circular cross section