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Halogens are non-metals and beryllium is also a non-metal. Since non-metals always form covalent bonds with each other due to almost similar I.P and E.N therefore,beryllium hallides are covalent .Magnesium is a metal and metals mostly form ionic bonds with non-metals due to vast difference in their I.P and E.N,therefore magnesium hallides are always ionic.
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