Question

Mateo has drawn a line to represent the parallel cross-section of the triangular prism. Is he correct? Explain.

riangular prism lying on a rectangular face and a line drawn along the length of a rectangular face

Yes, the line should be parallel to one of the rectangular faces
Yes, the line should be parallel to the triangular faces
No, the line should be parallel to the triangular faces
No, the line should be parallel to one of the rectangular faces

Answer 1

In a triangular prism, the cross-sections parallel to the bases (triangular faces) are triangles, while the cross-sections that are parallel to the rectangular faces are rectangles.

If Mateo has drawn a line to represent the parallel cross-section of the triangular prism along the length of a rectangular face, it means that he is indicating a cross-section that is parallel to the rectangular faces.

Thus, the correct statement would be:
**Yes, the line should be parallel to one of the rectangular faces.**

This is because cross-sections taken parallel to the rectangular faces will create rectangular cross-sections, while cross-sections taken parallel to the triangular faces will create triangular cross-sections.