Question

if the given figure is sliced through points j, k, and l, which best describes the shape of the resulting cross - section? a. parallelogram b. rectangle c. trapezoid d. triangle

Explanation:

Step1: Visualize the slicing

When a pyramid is sliced through three non - collinear points J, K, and L, the resulting cross - section is a polygon formed by the intersection of the plane passing through these points with the faces of the pyramid.

Step2: Recall cross - section properties

A cross - section of a pyramid formed by a plane intersecting three non - collinear points on its faces is a triangle. This is because a plane intersecting a three - dimensional polyhedron at three non - collinear points creates a three - sided polygon.

Answer:

D. triangle