Statement 1: Trans isomers are more stable than cis isomer.

Statement 2: The cis isomer is the one in which two similar groups are on the same side of double bond.

Trans isomer is more stable than cis isomer because in cis isomer, the bulky groups are on the same side of the double bond. The steric repulsion of the groups makes the cis isomer less stable than the trans isomer in which the bulky groups are far apart. (They are on the opposite side of the double bond).