If a bill that originates from the House of Reps, does it's name change when it goes to the Senate?

A bill that originates from the House of Representatives starts with the letters HR. If it passes the House and goes before the senate, does the begin

A bill that originates from the House of Representatives starts with the letters HR. If it passes the House and goes before the senate, does the beginning name of the bill change from HR to SB (Senate Bill)? I'm wondering, because I want to write a letter asking a senator to support a bill that recently passed the House and I don't want to sound like an idiot by calling it something that it's not. Savvy?

or:A bill that originates from the House of Representatives starts with the letters HR. If it passes the House and goes before the senate, does the beginning name of the bill change from HR to SB (Senate Bill)? I'm wondering, because I want to write a letter asking a senator to support a bill that recently passed the House and I don't want to sound like an idiot by calling it something that it's not. Savvy?

or:well recently i did the same thing asking about a bill be looked at and when it was all said and done it was mailed to me it had hr in front of you it still when i got the bill now the senate has their own represenative of bills that they put up to get ok ed or approved so i think it depends who sponsored the bill

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