Step 1: Plane of symmetry divides a molecule into two identical halves.
Step 2:
\beginitemize
• trans-1,2 and trans-1,3 substituted cyclohexanes possess symmetry.
• cis-1,2-dichloro cyclohexane has no plane of symmetry due to asymmetric axial–equatorial arrangement.
\enditemize
Step 3: Hence, cis-1,2-dichloro cyclohexane does not contain plane symmetry.