

This widget lets you set which point on the object the X/Y position fields are referring to.
There are fields for position (X and Y), and size (W for width, H for height).
The link button controls whether the size varies proportionally, or whether the W and H fields are independent.
The object’s rotation in degrees.
Fields for horizontal and vertical skew values.
You can also adjust the skew graphically by choosing Arrange -> Skew and dragging the object’s handles.
This button opens the Align palette, letting you align and distribute objects.
The button here does the same thing as choosing Window -> Show Align.

Some shapes, such as rectangles or regular polygons, have a settable Corner Radius property.
You can also adjust corner radius by dragging the corner radius handles inside each corner.
Rounded corners can be Circular (a plain circular arc, the default) or Continuous, the corner style Apple uses for app icons and system controls, where the curve eases into the straight edge instead of meeting it abruptly. (Some people call it a ‘squircle’ when applied to a rounded rectangle.) The style applies to every rounded corner in the object.
A proxy is a view of one symbol variant that’s imported into another. Proxies live update when the variant they are proxying changes.
If you have a proxy selected, you can use the Proxies: popup menu in this inspector pane to choose which variant the proxy targets.
The number of sides on a regular polygon.
For a star, five controls shape it:
Points always applies to all three weights, because it decides how many corners the star has. The rest follow the object’s linked/independent setting.
Dragging with the star tool always draws a regular star; you can stretch it afterwards, and Arrange -> Make Sides Equal puts it back.
For a wave, three controls shape it:
Cycles and Phase always apply to all three weights, because they decide how many points the wave has. Flatness follows the object’s linked/independent setting like any other measurement.
For text, you can set the scale of the text object (a separate scale for each of width and height).
If your selected object is a freehand drawing from the Pencil tool, you can use this slider to adjust its smoothness. As well as the visual differences, if you subsequently convert your freehand drawing into a path, then higher smoothness values correspond to fewer Bézier control points.