The statement "SnCl₂ is a non-linear molecule" is TRUE.

To understand why SnCl₂ (Tin(II) chloride) is a non-linear molecule, we need to look at its molecular geometry. Tin (Sn) is the central atom and it has a lone pair of electrons along with two bonding pairs of electrons with the chlorine (Cl) atoms. This creates a V-shaped or bent molecular geometry.

According to the Valence Shell Electron Pair Repulsion (VSEPR) theory, the lone pair of electrons on the tin atom will repel the bonding pairs, causing the molecule to take on a shape that minimizes repulsion. Therefore, the electron geometry of SnCl₂ is trigonal planar, but because of the lone pair, the molecular shape is bent.

The bond angle in a bent molecule like SnCl₂ deviates from the typical 180 degrees and is approximately 120 degrees. This bent shape confirms that SnCl₂ is non-linear.

Hence, the correct answer is:

Option A: TRUE