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The regular reverse turn has a back half that is a heel pivot, as DanceMentor says.
The book doesn't say the Chasse Reverse Turn need be followed by a Chasse Left. In fact, it gives the follows: Progressive Chasse - Reverse Pivot, Four Quick Run, Hover Corte.The chasse reverse turn is the first half of a reverse turn, followed by a chasse to the left.
The regular reverse turn has a back half that is a heel pivot, as DanceMentor says.
That depends on which syllabus you look at. For example, the one in the back of Henry Jaques's book includes it.And there is no regular Reverse Turn in the syllabus.