Modeling Toolkit transform constraints to reposition a selection of components along their existing edges. This works with the Move, Rotate, and Scale tools, and are useful for rearranging or straightening edge loops and vertex flow without destroying surface integrity.
You can activate the Edge Transform Constraint when in component mode by Ctrl + Shift + dragging the Move, Rotate, or Scale Tool manipulators (or Ctrl + Shift + middle-dragging anywhere on the screen when they're active).
Alternatively, you can activate it via the Transform Constraint option in their Tool Settings.
To slide polygon components along their edges
You can Shift-select or double-click vertices to select an entire edge loops. See Select an edge loop.
When working with edges specifically, you can also use the Slide Edge Tool to move them along their adjacent edges. This affords you some extra Snapping and Relative versus Absolute options.
To slide polygon edges using the Slide Edge Tool
You can Shift-select edges or double-click to select an entire edge loop (see Select an edge loop). You can also select edges using Symmetry.
The vertices associated with the selected edges move along their shared perpendicular edges.