BeCl2 - Beryllium Dichloride:

First draw the Lewis dot structure:
BeCl2 Lewis Structure
Electron geometry: linear. Hybridization: sp

Then draw the 3D molecular structure using VSEPR rules:
  Click and drag the molecle to rotate it.

Decision:
The molecular geometry of BeCl2 is linear with symmetric charge distribution around the central atom.
Therefore this molecule is nonpolar.

Beryllium Dichloride on Wikipedia.
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