NEW !! :
Don't waste time by learning shapes/images by heart. Of course it can be handy to know some basic shapes by heart, but important is that you understand what you are doing instead of playing just images with no further content knowledge about it.
but learn to use this ...
You should know which finger determines the chord name, which finger makes the chord major or minor and which finger(s) decide that the chord is a 7th or a 13 or a 6/b9.
and this ...
a simple example.
CΔ7 (=C M7 or Cmaj7)
Chord formula : R-3-5-Δ7
See below how you instantly can see already minimum 3 combinations located arround root note on fret 3.
In the second image you will see there is no 5.
Usually one of the most unessential notes of any chord is the fifth. In these chords the fifth is essentially “inert”. It does not contribute to the sense of major or minor, nor does it add any interest (tension, dissonance or sense of forward movement) to the sound.
NEW !! :