The United States congress has two chambers, the Senate which has 100 members and the house of representatives comprising of 435 members. The two law making bodies are under the legislative arm of the federal government and they are saddled with the responsibility of making laws. The Senate which has 100 members can be said to have more power than the house of representatives when you look at their constitutional responsibilities.
The two chambers indeed have a kind of equal rights because the two houses are passing bills. But when a president decides to appoint anybody (whether a member of his cabinet or justices), they go to the Senate for screening and confirmation and not to the house of representatives. The Senate also has the power to approve foreign treaties. Whatever bills passed by the house of representatives will first go to the Senate before they can be turned into law.