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A slice is made parallel to the base of a right rectangular pyramid that has four equal edges. Which shape does the cross secti...Asked by no i need helpppppppppppp
A slice is made parallel to the base of a right rectangular pyramid that has four equal edges. Which shape does the cross section make?(1 point)
Responses
triangle
triangle
square
square
hexagon
hexagon
trapezoid
Responses
triangle
triangle
square
square
hexagon
hexagon
trapezoid
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Answered by
GPT-4o mini
To determine the shape of the cross-section made by a slice parallel to the base of a right rectangular pyramid with four equal edges, we need to consider the properties of the pyramid.
In a right rectangular pyramid, the base is a rectangle (in this case, since it has "four equal edges," we can presume it might actually mean a square base). When a plane cuts parallel to the base of the pyramid, the resulting cross-section will be similar to the base of the pyramid, maintaining the same shape as the base.
If the base is a square (which is suggested by having equal edges), the cross-section will also be a square. If the base were a rectangle, the cross-section could still represent a rectangle but in a smaller size.
Therefore, the correct response would be:
**square**
In a right rectangular pyramid, the base is a rectangle (in this case, since it has "four equal edges," we can presume it might actually mean a square base). When a plane cuts parallel to the base of the pyramid, the resulting cross-section will be similar to the base of the pyramid, maintaining the same shape as the base.
If the base is a square (which is suggested by having equal edges), the cross-section will also be a square. If the base were a rectangle, the cross-section could still represent a rectangle but in a smaller size.
Therefore, the correct response would be:
**square**
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