Question

A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base.
The cross section can be which of these shapes? Check all that apply.

-square
-triangle
-trapezoid
-circle
-non-square rectangle

Answer 1

A cross section is the two dimensional shape that is created when a slice is made through a solid figure by an intersection of a plane and the solid body.

A square pyramid is a pyramid with a square base.

Case 1: When the plane intersects the square pyramid at an angle perpendicular to the base but not through the vertex. In this case a trapezoid is formed.

Case 2: When the plane intersects the square pyramid at an angle perpendicular to the base and through the vertex. In this case a triangle is formed.

Case 3: When the plane intersects the square pyramid at an angle parallel to the base. In this case a square is formed.

Therefore, a cross section made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base can be of shapes:

-square
-triangle
-trapezoid

Answer 2

I just did the unit test I got square, trapezoid and triangle