To understand the cross-section of a right square pyramid that is parallel to the base, let's break down the geometric properties of the pyramid.
1. Right Square Pyramid: This is a three-dimensional geometric figure with a square base and four triangular faces that converge to a single point known as the apex.
2. Cross-Section Parallel to the Base:
- When we take a cross-sectional cut parallel to the base of a pyramid, we are essentially slicing through the pyramid with a plane that maintains a consistent distance from the base throughout the cut.
- Since the base of the pyramid is a square, and the cut is parallel to this base, the shape of the cross-section will mirror the shape of the base but may vary in size depending on the height at which the cut is made.
3. Shape of the Cross-Section:
- Given that the base of the right square pyramid is a square and the cut is parallel to this base, the cross-section itself will also be a square.
- The closer the cut is to the base, the larger the square. The closer the cut is to the apex, the smaller the square. However, regardless of the size, the shape remains a square as long as the cut is parallel to the base.
Thus, the cross-section of a right square pyramid that is parallel to the base is:
Square
Therefore, the correct answer is:
O Square
