The basic steps (straight from the link below) are as follows:
- Carefully approach the animal, and look inside their mouth. (If they try to bite you, they don’t need CPR.)
- If they’re not breathing, give 4-5 rescue breaths, watching the chest rise and fall.
- Check for a pulse using the artery on the inside of the dog’s thigh.
- Perform 30 chest compressions, aiming to put your hands on the animal’s heart, right around the place their elbow touches their body. For large dogs, use both hands like you would for a person. For smaller dogs and for cats, you can squeeze the front of their chest with one hand.
This is quite similar, in and of itself, to the rules for a human. If you aren't CPR certified, it's not a bad idea to become it; get the AED certification as well. If you have a small child, then you should definitely take the class.
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