Step 1: Identify coordination geometry.
The complex is [Co(gly)$_2$Cl$_2$]$^-$, where gly = glycinate (bidentate ligand).
Co(III) forms an octahedral complex with two bidentate (gly) and two monodentate (Cl) ligands. Step 2: Types of isomerism.
This complex can exhibit:
- Geometrical isomerism (cis and trans forms).
- The cis form is optically active due to lack of symmetry,
while the trans form is optically inactive (has a plane of symmetry).
Step 3: Count optical isomers.
The cis form has two non-superimposable mirror images (enantiomers).
Step 4: Conclusion.
Therefore, the number of optically active isomers is 2.