Simplified Hybridization and Molecular Geometry Method
 
 

Note - this method does not always yield the correct answer but will probably cover 90% of the problems you will encounter. This works especially well if the transition metals are not included.

1) Draw the Lewis structure of the molecule.

2) Count the number of electrons used in the Lewis structure.

3) Consider only the sigma bonding structure. That is, if there is a double bond, subtract 1 pair of electrons and if there is a triple bond, subtract 2 pair.

4) Use the following table to get the electron geometry and the molecular geometry. The molecular geometry is the same as the electron geometry when there is no lone pair of electrons.
 
 

Sigma
Bonds
Lone
pair
Count
Hybrid
Electron Geometry
Molecular Geometry 
2
0
2
 sp
 Linear 
 Linear 
3
0
3
 sp2
Triangle
Triangle
2
1
3
 sp2
Triangle
 Bent 120o
4
0
4
sp3
Tetrahedral
Tetrahedral
3
1
sp3
Tetrahedral
Trigonal pyramid
2
2
4
sp3
Tetrahedral
Bent 108o
5
0
sp3d
Trigonal Bipyramid
Trigonal Bipyramid
4
1
sp3d
Trigonal Bipyramid
See-Saw 
3
2
sp3d
Trigonal Bipyramid
T shaped
2
3
5
sp3d
Trigonal Bipyramid
Linear
6
0
6
sp3d2
Octahedron
Octahedron
5
1
sp3d2
Octahedron
Square Pyramid
4
2
6
sp3d2
Octahedron
Square Planar
3
3
6
sp3d2
Octahedron
T shaped
2
4
6
sp3d2
Octahedron
Linear