Final answer:
In a square pyramid, no pair of lines described in the options provided are parallel. The lateral faces and the height are all converging, not parallel.
Step-by-step explanation:
The question is asking which pair of lines are parallel in a square pyramid. In a square pyramid, the base is a square and the lateral faces are triangles. Now, let us examine the options given:
- Option A: The base and one of the lateral faces are not parallel because the lateral faces tilt inward towards the apex of the pyramid.
- Option B: The base and the height are perpendicular to each other, not parallel.
- Option C: The lateral faces could be parallel but in a square pyramid, each lateral face meets at the apex, which means they converge and are not parallel to each other.
- Option D: The height and one of the lateral faces are perpendicular, not parallel.
Thus, we can conclude that in a square pyramid, none of the options result in a pair of parallel lines, because the pyramical structure means that faces and edges converge rather than run parallel.