Answer:
The Mexican Cession
Step-by-step explanation:
Mexico ceded about ≈ 55% of it's territory, to the U.S because they lost the Mexican American War, (which was resolved by the treaty of Guadalupe-Hidalgo.)
The Oregon trail was the trail that led people to settle to the West for a better life. The Oregon Trail is known to have been very rigorous.
The Lone-Star State is the nickname of Texas.
Therefore, the answer is The Mexican Cession.