When a square pyramid is sliced downward through its top vertex by a plane, the resulting two-dimensional figure is a triangle. This occurs because the plane passes through the apex of the pyramid, intersecting the base and creating a triangular cross-section.

### Explanation:
1. **Shape of the Base**: The base of the pyramid is a square.
2. **Intersection of the Plane**: As the plane slices from the apex, it meets two of the edges of the base.
3. **Formation of the Triangle**: The intersection points along the edges of the base, in conjunction with the top vertex (apex), form a triangular shape.

Thus, the final answer is that the resulting figure is a triangle.

Question

When a square pyramid is sliced downward through its top vertex by a plane, the resulting two-dimensional figure is a triangle. This occurs because the plane passes through the apex of the pyramid, intersecting the base and creating a triangular cross-section.

### Explanation:
1. **Shape of the Base**: The base of the pyramid is a square.
2. **Intersection of the Plane**: As the plane slices from the apex, it meets two of the edges of the base.
3. **Formation of the Triangle**: The intersection points along the edges of the base, in conjunction with the top vertex (apex), form a triangular shape.

Thus, the final answer is that the resulting figure is a triangle.

Knowee AI · Accepted Answer

When a square pyramid is sliced downward through its top vertex by a plane, the resulting two-dimensional figure is a triangle. This occurs because the plane passes through the apex of the pyramid, intersecting the base and creating a triangular cross-section.

### Explanation:
1. **Shape of the Base**: The base of the pyramid is a square.
2. **Intersection of the Plane**: As the plane slices from the apex, it meets two of the edges of the base.
3. **Formation of the Triangle**: The intersection points along the edges of the base, in conjunction with the top vertex (apex), form a triangular shape.

Thus, the final answer is that the resulting figure is a triangle.

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?

Solution

Explanation:

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