Question

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

Explanation:

A cross - section formed by slicing a three - dimensional figure through three non - collinear points (J, K, L) in a pyramid - like figure (from the diagram) will form a triangle. A triangle is a three - sided polygon, and when we slice through three points on the edges of the pyramid, the intersection of the slicing plane with the pyramid's faces will create three line segments that connect the three points, forming a triangle. A trapezoid has four sides with one pair of parallel sides, a rectangle has four right - angled sides with opposite sides equal and parallel, and a parallelogram has opposite sides parallel and equal. Since we are slicing through three points, the resulting shape should have three sides, so it is a triangle.

Answer:

A. triangle