A slice is made parallel to the base of a triangular pyramid.
What is the shape of the resulting two-dimensional cross-section?
Drag and drop the word to correctly complete the sentence.
The cross-section is in the shape of a ____
The cross-section is in the shape of a triangle.
To determine the shape of the resulting two-dimensional cross-section when a slice is made parallel to the base of a triangular pyramid, you can visualize the situation and understand the concept of a cross-section.
A cross-section is the shape that is obtained when an object is sliced through by a plane. In this case, the triangular pyramid can be imagined as a solid object. The slice is made parallel to the base of the pyramid, which means it cuts through the pyramid but does not intersect the base.
When a parallel slice is made, it will intersect with the triangular faces of the pyramid. The resulting shape of the cross-section will be a smaller triangle that is congruent to the triangular face that is intersected by the slice. Thus, the shape of the resulting two-dimensional cross-section is a triangle.