Question

50 POINTS PLEASE HELP!!!! A rectangular pyramid is sliced parallel to its base as shown in the figure.

What is the shape of the resulting two-dimensional cross section?

Select from the drop-down menu to correctly complete the statement.

The shape of the resulting two-dimensional cross section is a .
A. Hexagon
B. Pentagon
C. Triangle
D. Rectangle
The figure contains a right rectangular pyramid. A plane intersects the pyramid through its vertex and parallel to its base.

Answer 1

D. Rectangle

Explanation:

The base of the Pyramid is a rectangle and you know that the plane that intersects the pryamid is parallel to its base. So the cross section will be also a rectangle.

If you take z=0 (floor or the pyramid base)

Put the plane in z=0 the cross section will be the rectangular base. it is also parellel to the base

Now start to move the plane on the Z axis the cros section will continue to be a rectangle is just is section that changes.

Answer 2

The figure contains a right rectangular pyramid. A plane intersects the pyramid through its vertex and parallel to its base is Rectangle.