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It is a rectangle.
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.
You cannot have a 2d pyramid - whether or not it is square based. The 2d cross section will depend on the plane of the cross section.
It is a rectangle which is similar to the base.
Depending on the inclination of the plane used for the cross-section, it could be a square, rectangle, trapezium, triangle.
trapezoid
The cross section of a pyramid shrinks from the shape of the base down to a point as you move along its axis from the base to the apex. The cross section of a prism is constant along its axis.
It is a rectangle.
triangle
Circle: If the knife is perpendicular to the axis of the cone.Ellipse: If the knife is between (perpendicular to the axis of the cone) and (parallel to the side of the cone).Parabola: If the knife is between (parallel to the side of the cone) and (parallel to the axis of the cone).Hyperbola: If the knife is parallel to the axis of the cone.Triangle: If the knife is perpendicular to the base of the cone.Point: If the knife is parallel to the base the cone and through the apex
It will be one of:a triangle if where the cross section cuts the base is through two adjacent sides;an irregular quadrilateral if where the cross section cuts the base is through two opposite sides but not parallel to a side of the base; ora trapezium if where the is the cross section cuts the base is parallel to a side of the base.
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.
triangle
You cannot have a 2d pyramid - whether or not it is square based. The 2d cross section will depend on the plane of the cross section.
It is a rectangle which is similar to the base.
A trapezium, except that when it goes through the apex, it becomes a triangle. If the pyramid is a right pyramid, then the cross sections will be isosceles.
a square