Which of the following is necessary to propose a new amendment to the constitution

Approval by a popular vote held by every state, approved by 2/3 of the house and senate, approval by three corners of the house and senate, approved by legislators I’m at least 3/4 of the states

To propose a new amendment to the Constitution, it is necessary to follow the process outlined in Article V of the United States Constitution. The correct requirement among the options you provided is: approval by two-thirds of both the House of Representatives and the Senate.

Here's a step-by-step explanation of the process to propose a new amendment to the Constitution:

1. Proposal: To initiate the amendment process, an amendment must be proposed. There are two methods:

a. Two-Thirds Majority in Congress: An amendment can be proposed by gaining approval from two-thirds (2/3) of both the House of Representatives and the Senate. This means that a proposed amendment would need to be approved by a total of 290 members of the House of Representatives and 67 senators.

b. National Convention: Alternatively, an amendment can be proposed if two-thirds (2/3) of state legislatures (currently 34 out of 50 states) call for a national convention to propose amendments. However, this method has never been used to propose an amendment thus far.

2. Ratification: Once an amendment is proposed, it must be ratified before becoming part of the Constitution. There are two methods for ratification:

a. Approval by State Legislatures: The proposed amendment must be approved by three-fourths (3/4) of the state legislatures (currently 38 out of 50 states). This means that at least 38 state legislatures would need to pass the amendment for it to be ratified.

b. Approval by State Conventions: Alternatively, the proposed amendment can be ratified through approval by special state conventions called for the purpose of deciding on the amendment. The convention method has only been used once to ratify the 21st Amendment, which repealed the prohibition of alcohol.

It's important to note that the options you mentioned, such as "approval by a popular vote held by every state" or "approval by legislators in at least 3/4 of the states", are not accurate requirements for proposing or ratifying an amendment to the Constitution.