What Would You Do?

I need some honest educated opinions and help! I'm a FTM..I weighed about 135-140 lbs at the time of conception..I'm currently 37+3 pregnant and I'm starting to really stress and over think things. I'm worried baby is going to be super sized..simply because it runs in my family like nobody's business! I'm talking my mom was a 10lb baby and early...my dad was born 10 lbs and so was I!! I was also born 2 weeks early! My mom never had a baby smaller than 8 lbs and she was 5'11! At my 35 week ultrasound baby was already over 6 pounds...and I know sometimes these things are way off on measurements but I AM CONCERNED. I am always quiet at my appointments because I've been blessed to have a healthy pregnancy.. but these concerns are starting to eat my alive in my head..am I an awful mom to think about asking for the options of being induced. .I'm afraid of the increased risk of still birth and also tearing..all because I wanted to stay quiet and not question things. What would you do?