Which of the following could NOT represent the intersection of a plane and a triangular prism?
A. a triangular prism
B.a triangle
C. a rectangle
D. a point
I had D, a point because if you cut a triangle in half you can not get a point out of it.
If this is wrong can you explain what is correct.
Thanks
You are correct. The intersection of a plane and a triangular prism cannot result in a single point (option D). When a plane intersects a triangular prism, the resulting shape on the plane will always retain some of the dimensions and characteristics of the triangular prism.
Option A, a triangular prism, is a possible result of the intersection. In this case, the entire triangular prism would be visible on the plane.
Option B, a triangle, is also a valid intersection. If the plane intersects the triangular prism in a way that cuts across two opposing edges of the base triangle, the resulting shape on the plane would indeed be a triangle.
Option C, a rectangle, is also a possible outcome. If the plane intersects the triangular prism in such a way that cuts across all three edges of the base triangle, the resulting shape on the plane will be a rectangle.
So, your initial answer of option D, a point, is correct. The intersection of a plane and a triangular prism cannot result in a single point.