For most teachers, no you do not. However, you do need to memorize the postulates and theorems that are connected with SSS, SAS and etc. You need to have a general idea of what kind of postulates there are. For example, if the problem is discussing a bisector, you need to know what theorem goes into the problem when bisectors are involved. Those are highly connected to test questions in high school geometry. Theorems and Postulates are a huge section of High School Geometry so therefore I would suggest taking notes on the theorems that your teacher focuses on the most.