Question

a right triangular prism is sliced perpendicular to its base and parallel to the front face.
what is the shape of the cross section?
the cross section is a
parallelogram
rectangle
trapezoid
right triangle

Explanation:

Step1: Analyze the Prism and Slice

A right triangular prism has triangular bases and rectangular lateral faces. The slice is perpendicular to the base (which is a triangle) and parallel to the front face (a rectangle).

Step2: Determine Cross - Section Shape

When we slice a right triangular prism perpendicular to its base (a triangle) and parallel to the front rectangular face, the cross - section will have four right angles (since the slice is perpendicular to the base and parallel to the front face) and opposite sides equal and parallel. A quadrilateral with four right angles and opposite sides equal is a rectangle. A parallelogram is a more general term, but in this case, since the prism is right - angled and the slice is perpendicular to the base, we get a rectangle (a special type of parallelogram). A trapezoid has only one pair of parallel sides, which is not the case here. A right triangle would be the cross - section if we sliced parallel to the base, not perpendicular.

Answer:

rectangle