Airbags including hingedly affixed non-inflatable support members and vehicles including such airbags are disclosed. An airbag includes a body portion, a non-inflatable support member having a proximal end and a distal end, and a tether having a support-member-end and an airbag-end. The proximal end of the non-inflatable support member is hingedly affixed to the body portion of the airbag. The support-member-end of the tether is affixed to the distal end of the non-inflatable support member and the airbag-end of the tether is affixed to the body portion of the airbag, thereby tethering the distal end of the non-inflatable support member to the airbag. When the airbag is in a pre-deployment state, the distal end of the non-inflatable support member does not extend beyond a perimeter of the airbag. The non-inflatable support member extends beyond the perimeter of the airbag in a deployed position.