On which idea did president eisenhower base his domino theory?

The correct answer is: "containing the spread of communism"

The Domino theory emerged and spread during the 1950s and 1960s. It firmly believed that, when a region fell under communist influence, soon nearby regions would follow the same direction, causing a sort of domino effect.

This argument was used by the US goverment to justify its interventions in third countries and proxy wars (such as the Vietnam conflict), during the Cold War era. US leaders often said they did so to prevent that a certain country, and in turn its whole region, would fall under the influence of the URSS.

1) the taiping rebellion was prompted from 1850-1864 and waged against the ruling of machu qing dynasty. the rebellion was caused by hong xiuquan and class differences, later leading to a radical change in social and economic structure.

3) karl marx, a believer of the principle of socialism, believed that the working class would have to free themselves from the exploitation of industrialists by establishing a radical socialist classless society where all industries and   property are owned by the state.

5) as indians revolt gained power, people found additional reasons to protest against the british rule. princely families joined the uprising due to changes to the inheritance law which made adopted children ineligible to assume the throne. this was an attempt by the british to control royal succession in the princely states that were nominally independent from the british.