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 solid

A prism has two congruent and parallel bases. Looking at the figure, it has two parallel and congruent bases (quadrilaterals \(HKL\) - like shape and \(JMI\) - like shape). So the three - dimensional solid is a prism.

Step2: Identify a base

A base is one of the two parallel and congruent faces. \( \triangle HKL\) (or \( \triangle JMI\)) is a base.

Step3: Find the intersection point of edges

Edge \(JM\) and edge \(LM\) intersect at point \(M\) (by looking at the labels of the vertices on the edges).

Answer:

The given three - dimensional solid is a prism. One of the bases is \( \triangle HKL\) (or \( \triangle JMI\)). Edge \(JM\) intersects edge \(LM\) at point \(M\).