The Lieutenant Governor is an ex officio member of several statutory bodies. These include the Legislative Budget Board, the Legislative Council, the Legislative Audit Committee, the Legislative Board and Legislative Council, which have considerable sway over state programs, the budget and policy. The Lieutenant Governor is also a member of the Legislative Redistricting Board (together with the Speaker of the House, Attorney General, Comptroller, and Land Commissioner), which is charged with adopting a redistricting plan for the Texas House of Representatives, Texas Senate, or U.S. House of Representatives after the decennial census if the Legislature fails to do so.

is the lieutenant governor also a member of the texas house of representatives?
no