Do iMessages count in your monthly text count for verizon or do they not show up?

My parents always look at how many texts I send per month and I'm a big texter so I usually send around 10, 000. I ended up getting in trouble and getting my phone taken away. In order to get my iPhone back my parents want to limit the amount of texts I send. I have an unlimited plan but they are enforcing that I can only send so many. I have to come up with this number. If my parents think it isn't strict enough then they will decrease the amount, but I figured I could lower this amount and make it look like I text less if imessages didn't show up on our monthly bill. I know it doesn't count as texts because it is internet based but I don't care if they count or not I only want to know if they show up on the bill and in the monthly text count.

IMessages do not show up in your bill because its an apple service and its unlimited texting but here's the thing Imessages don't show up on your bill because you can only text people with an apple device such as an iPod touch, Mac, Ipad, or iPhone so if you know anyone who has one of those items you can text with IMessages