showed aggression.

[Perry]

... "I was walking the perimeter of the corral my alpha got in front of me  stood and went straight back down. I set my daughter down and I tipped him over on his side and I held him there until the rodeo was over. did I handled that right or what should have i done?  my question is if that happens again what should I do? "

If I understand, your goat reared up on his hind legs, challenging you.  I think tipping him over and holding him was the right thing to do.  The question will be: did you hold him down long enough for him to fully submit to you as alpha?  If he challenges you again, in any way, I think you should tip him over again, and likely need to hold him down longer.

Also, watch for any little tests of your authority, then respond appropriately, don't ignore them.  It could be things like lowering his head a little bit and leaning into you/ touching you; standing in your way; 'accidently' bumping into you, being pushy for feed or treats.  Use the squirt gun/bottle, a loud clap and 'no', a pull on an ear, a slap on the nose; something to tell him 'no', I'm in charge here.  Don't over do it, but get the message across.