Java Animation - Can you "group" shapes from two classes?

Hi there,

I'm doing a simple project where I need to create an animation.

I am trying to find out if its possible to "group" a set of (different) shapes within my animation, and then make all of them move together?
I want to group six shapes (three triangles and three circles) and make them all move together across the screen!!
(Basically I want to make a little character from simple shapes and make him move - but we've been told to only use simple script to create shapes to build our picture, so this means I can't just insert a gif!!)

Cheers in advance :)

LH