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A square pyramid is sliced downward, through the top vertex, by a plane. What is the shape of the resulting two dimensional figure?

Question

A square pyramid is sliced downward, through the top vertex, by a plane. What is the shape of the resulting two dimensional figure?

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Solution

The shape of the resulting two-dimensional figure would be a triangle. Here's why:

  1. A square pyramid has a square base and four triangular faces that meet at a single point, the top vertex.
  2. If you slice the pyramid downward through the top vertex, you are cutting through one of the triangular faces of the pyramid.
  3. The cut or slice would reveal a two-dimensional shape that matches the face you cut through.
  4. Since the faces of a square pyramid are triangles, the resulting shape would be a triangle.

This problem has been solved

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