To determine which statement is always true regarding cross sections of a right rectangular prism, we need to understand what a cross section is and how it is related to the prism. A cross section is the intersection of a solid and a plane. Now we'll analyze each statement based on this understanding.
A. A cross section parallel to the base of a right rectangular prism is a square.
- This statement is not necessarily true because a right rectangular prism has rectangular bases. If the sides of the base are not equal, then a cross section parallel to the base would also be a rectangle, not a square.
B. A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
- This statement is true. If you cut a right rectangular prism with a plane that is perpendicular to the base, the resulting cross section is the same shape and size as the base, which means it is congruent to the base.
C. and D. are not provided, but we can safely ignore them as we've already found the correct answer in B.
So the correct answer is:
B. A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
