Describe the two-dimensional figure that results from slicing right rectangular pyramids perpendicular from the side.
1.square
2.hexagon
3.triangle
4.trapezoid
3. triangle
The two-dimensional figure that results from slicing right rectangular pyramids perpendicular from the side is a trapezoid.
To determine the two-dimensional figure that results from slicing right rectangular pyramids perpendicular from the side, we need to understand the shape of a right rectangular pyramid first. A right rectangular pyramid is a three-dimensional figure with a rectangular base and triangular faces that converge at a single point called the apex.
When we slice a right rectangular pyramid perpendicular from the side, the resulting figure will be the cross-section of the pyramid. Let's consider the different options given:
1. Square: Slicing a right rectangular pyramid perpendicular from the side will result in a square cross-section if the slice passes through the corners of the rectangular base. The square cross-section will have four equal sides and four right angles.
2. Hexagon: A hexagon has six sides, and it is unlikely to be the result of slicing a right rectangular pyramid perpendicular from the side. The shape may have six sides if the slice passes through the edges of the rectangular base, but it would not be a regular hexagon.
3. Triangle: A triangle is formed when the slice passes through one of the triangular faces of the pyramid. So, if the slice goes through a triangular face, the resulting cross-section will be a triangle.
4. Trapezoid: Slicing a right rectangular pyramid perpendicular from the side can create a trapezoid-shaped cross-section if the slice passes through the slanted sides of the rectangular base. The resulting trapezoid will have one pair of parallel sides.
Therefore, the correct answer is both the square (option 1) and the trapezoid (option 4), depending on how the slice is made through the right rectangular pyramid.