Final answer:
The Molecule Geometry of an ABE3 molecule, with three electron groups and no lone pairs, is trigonal planar, with groups arranged 120° apart in a plane.
Step-by-step explanation:
The Molecule Geometry of a molecule with the designation ABE3, where 'A' represents the central atom and 'E' represents electron groups (or bonding domains) surrounding the central atom, relates to how these groups are spatially distributed around the central atom. In an ABE3 molecule configuration, with three electron groups around the central atom and no lone pairs (indicated by the '3'), all three groups are arranged to be as far apart from one another as possible. This arrangement forms trigonal planar geometry, where the groups adopt the positions at the corners of an equilateral triangle, each 120° apart and all in the same plane.