Question

Please PLease PLEASE HELP ME!!!!!!!!!!!!!! Consider what would happen if you were to slice a face at a vertex (cut a corner) of a particular polyhedron. You would see a new polygonal face where the old vertex used to be. What type of polygon would a slice of a hexahedron at a vertex create? Explain how you know. What type of polygon would a slice of an icosahedron at a vertex create? Explain how you know.

Answer 1

A triangle

Explanation:

The plane which cuts a corner intersects the polyhedron in n faces that depend on the specific polyhedron as seen in the attachment

And here's a cube, and three faces intersect. Because the intersection of two planes is a line, and that there are three planes with which to intersect, the polygon has three sides.

Therefore in the given situation, the polygon is a triangle