Leah takes a square-base pyramid and takes a cross section perpendicular to its base. She notes that this cross section is triangle and any cross section taken of a square-base pyramid will be a triangle. Is Leah correct? Explain.
Leah is correct.
When a cross section is taken perpendicular to the base of a square-based pyramid, it will always result in a triangle. This is because all cross sections taken of a pyramid parallel to its base will be the same shape as the base, which in this case is a square. Therefore, any cross section taken perpendicular to the base of a square-based pyramid will always result in a triangular shape.