A quick search on Google suggests that you might be able to do the following
1. Grouping:
- Simple and Effective:
- After lassoing your shapes, immediately press Ctrl+G (or right-click and select "Group"). This turns your selected shapes into a single object.
- Now, you can move, resize, and rotate the entire group while preserving the relative positions of the individual shapes within it.
- To edit individual shapes later, right-click the group and select "Ungroup."