Question

the lateral faces of a prism are always parallel and congruent.
○ false
○ true

Explanation:

A prism has two congruent polygonal bases connected by lateral faces. By the definition of a prism (especially a right prism, and for oblique prisms, the lateral faces are parallelograms with equal area and parallel sides in pairs), the lateral faces are parallelograms. In a right prism, lateral faces are rectangles (thus parallel and congruent). Even in oblique prisms, the lateral edges are parallel (by prism definition: bases are congruent, parallel polygons, and lateral edges are parallel), so lateral faces (which are parallelograms with sides as lateral edges and base edges) have opposite sides parallel (from lateral edges parallel and base edges parallel) and congruent (since lateral edges are equal in length and base edges are equal between congruent bases, so the parallelograms have equal side lengths and thus are congruent). So the statement is True.

Answer:

True