Hilchos Issurei Mizbeiach 4:16

The exchange of a dog is when one person tells another to accept a sheep in exchange for a dog. If he exchanged a dog for several animals or birds, all of them are rendered prohibited for the altar.

Hilchos Issurei Mizbeiach 4:17

Let’s say that two partners divide their joint property, one taking ten sheep and the other taking nine sheep and a dog. In such a case, the sheep that were taken with the dog are permitted for the altar, but the ten taken in exchange for them must be disposed of as follows: If the value of one sheep is equal to or greater than the value of the dog, it is put aside and that one sheep is considered as being in exchange for the dog. The rest of the sheep are then permitted for the altar. If the value of each sheep is less than the value of the dog, they are all prohibited for the altar.