Sit Hand Command
Take a look at the first picture in the image above. This is the hand command to tell your dog to sit. Elbow bent in V position, thumb points to chin, index finger points up while all other fingers clenched.
Stay Hand Command
Face of palm is shown to the dog while the elbow is in a relaxed L position. Kind of like a reclining chair.
Lay Down
This basic dog hand command is really a flip of the stay hand command where the face of the palm faces down while relaxing the elbow downwards.
The Follow Dog Hand Command
Can be a bit tricky but many dog trainers use what is called the lure at first to make the dog follow. This is basically having something in hand the dog wants or likes. Then use that and call the dogs name while making steps forward. This will encourage the dog to follow. Many dog trainers use the hand gesture finger call by lowering the hand gesturing at the animal while moving.
Go Home Dog Hand Command
Just as you would point to the exit of your door to a rude guest, it is the same action needed to tell a dog to go home. So what good is this command? Well, dogs simply just love to run after their owners when the owners leave the yard. You can use this command to tell the dog to go home. It can be useful on a dog which has strayed from home, or an assistant dog which you want to tie a a message to to give someone at home that you are in danger and need help.
Speak Dog Hand Command
In other words, you want your dog to bark and make silly of himself. Many trainers use various hand commands for this, but the one illustrated is the basic command where fingers are un-clenched and apart. Some trainers will simply do a simple waive of this and of course encourage the animal to bark probably by mimicking the bark or speaking to the animal.