Question

Bella has drawn a line to represent the parallel cross-section of the triangular prism. Is she correct? Explain.triangular prism lying on a rectangular face and a line drawn along the slant height of the triangle 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

Yes, the line should be parallel to the triangular faces

What is a triangular prism

A triangular prism is a three dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting corresponding sides of the triangles.

The triangular bases are parallel and identical, and the connecting rectangular faces are perpendicular to the planes of the triangles.

To represent the parallel cross-section of a triangular prism, imagine cutting the prism with a plane that is parallel to one of the triangular bases.

Answer 2

Step 1

The base of a triangular prism is a triangular face. A "parallel cross-section" is a cross-section taken parallel to the base. So, the parallel cross-section should be parallel to the triangular faces and a perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross-section will be congruent to the triangular faces.

Therefore the answer will be;