Question

the given three - dimensional solid is
one of the bases is
edge $overline{jm}$ intersects edge $overline{lm}$ at point

Explanation:

Step1: Identify the three - dimensional solid

A prism has two congruent and parallel bases. Looking at the figure, it is a triangular prism.

Step2: Identify the base

The bases of a triangular prism are triangles. In this case, \(\triangle HJK\) (or \(\triangle LMI\)) is a base.

Step3: Find the intersection point of \(\overline{JM}\) and \(\overline{LM}\)

By observing the figure, \(\overline{JM}\) and \(\overline{LM}\) intersect at point \(M\).

Answer:

The given three - dimensional solid is a triangular prism. One of the bases is \(\triangle HJK\) (or \(\triangle LMI\)). Edge \(\overline{JM}\) intersects edge \(\overline{LM}\) at point \(M\).