An isolation valve can include a pivot connecting a closure member to an actuator member which displaces when the isolation valve is actuated between open and closed configurations, whereby the pivot displaces with the actuator member. Another isolation valve can include a pivot connecting a closure member to an actuator member which displaces when the isolation valve is actuated between open and closed configurations, and a profile formed in the isolation valve. The profile biases the closure member from an open position to a closed position when the isolation valve is actuated from the open configuration to the closed configuration. A method of actuating an isolation valve includes actuating the isolation valve between open and closed configurations, and wherein actuating the isolation valve comprises simultaneously displacing an actuator member, a closure member, and a pivot which pivotably connects the closure member to the actuator member.