Final answer:
All types of lipids are characterized by their insolubility in water, a property stemming from their non-polar hydrophobic nature.
Step-by-step explanation:
Lipids are a diverse group of chemical compounds that are characterized by one key physical property: their insolubility in water. All lipids share this common feature due to their non-polar nature making them hydrophobic or "water-fearing." This is because lipids are largely hydrocarbons with nonpolar carbon-carbon or carbon-hydrogen bonds which do not mix well with water. Therefore, the correct answer to what all types of lipids have in common is insolubility in water.