S.D. Codified Laws § 9-43-85

At the time and place of the hearing required by § 9-43-82, the governing body shall consider any objections to the proposed resolution and may adopt the resolution, with or without amendment. No amendment may be made affecting property of any class not included in the original proposed resolution unless the owner of that property has been given the notice and opportunity to be heard as provided by §§ 9-43-82 to 9-43-84, inclusive.