Brick is to wall as:
- stone is to quarry
- board is to fence (correct answer)
- cement is to mixture
- tile is to pattern
Explanation: A brick is a part of a wall, just as a board is a part of a fence. Both demonstrate part-to-whole relationships between building materials and the structures they compose. Choice A is incorrect because stone and quarry don't show part-to-whole relationship. Choice C is wrong because cement and mixture aren't part-to-whole related in the same way. Choice D is incorrect because tile and pattern don't represent a part-to-whole relationship.