I suppose most of this post is possible factual.
But right up front the first two point are not likely fact.
Depends on how many are in the pack and what the quarry is. When it was the new colony of Geese I was attempting to establish on the ranch, The coyotes came the first time a saw them with seven in the pack.
Two would get the attention of the Gander and the others would gather the goslings before they could get to the pond.
Now this is where a .223 rifle with a 30 round magazine comes in handy. I only had three breading pairs of geese I was trying to help establish, that first year, in my big ponds on the place, and half of one family was wiped out in the attack by the seven coyotes.
Next day I was ready with the Bad Ass assault rifle and with two 30 round magazines, one in a pocket, one in the Bad Ass rifle. Perched on a hillside, over looking the grain field the geese fed in, sort of on the left, and the pond on the right, 300 yard away, I lay in wait, same time of day.
They came, all seven again, as the goslings feed on my grain. I waited until the Alpha dog got the attention of one of the Ganders, while all the other geese split for the pond. Rapid fire, the Alpha dog when down, his partner next. The other were in full retreat, tail down! One more went down before the mag was empty. And out of range before I could bring the other into play.
I always felt good about that day, a good flock of Canadian Geese were establish there that day. They returned year after year while I was there, maybe 30 pair returned yearly, 150, 160 out every fall.
This dependents totally on who is being chased and chasing. I have never seen a Coyote chasing a dog, but a the dog chasing the coyote often, and then the Coyote is tail down, dog, tail up.
Now you take the same dog, and watch it being chased by another larger dog, tail down dog in the lead and hitting the after burner! Chasing dog, tail up! Observations done on MarAzul's ranch, Union County, Or.