Statement 1: Alicyclic hydrocarbons resemble aliphatic hydrocarbons in their chemical characteristics. 

Statement 2: Their properties are similar to those of the corresponding open chain compounds, and they show aromatic properties 

Compounds with rings that have a carbon atom at each corner are known as alicyclic compounds. They don't exhibit aromatic qualities and share the same characteristics as the related open chain compounds. Alicyclic substances are essentially aliphatic substances with a cyclic structure. Hence, Statement 1 is true and Statement 2 is false.