On the hill, there is a house. When we walk down a little, there is a lake. In that case, we can say as follows.

1. The house is above the lake.
2. The house is over the lake.

3. The lake is below the house.
4. The lake is under the house.

In this case, #1 and #3 are right. The others are wrong, aren't they?

I would use sentences 1 and 3, but not 2 or 4.

You're correct!

Yes, you are correct. In this case, statement #1 ("The house is above the lake") and statement #3 ("The lake is below the house") are accurate descriptions of the relative positions of the house and the lake.

Statement #2 ("The house is over the lake") can be misleading because it suggests that the house is directly positioned on top or hovering directly above the lake, which may not be the case. It's important to note that "over" can have multiple meanings, and in this context, it may not accurately describe the relationship between the house and the lake.

Similarly, statement #4 ("The lake is under the house") implies that the lake is physically located beneath the house, which is unlikely on a hill. While there might be a sense of the house being positioned higher than the lake due to the hill, it's not accurate to say that the lake is directly under the house.

To determine the most appropriate and accurate descriptions of relative positions, it's important to consider the context and specific spatial relationships between the house, the hill, and the lake.