How to prevent people from looking at my Wi-Fi activity thru a shared Wi-Fi router?

I share a Wi-Fi network with other people in my family and I go on Instagram via my iPhone a lot. I would like to know if people in my family can see what I'm doing on Instagram through the Wi-Fi router. If so, how can I prevent this?

They can't see what you're doing, unless they've installed some parental program that tracks your movements for them. If they have, you can't do anything unless you find and remove it.

Edit: I don't think there's a program like that, though.

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