Flll in the table to give all possible types of plane isometries given by a product of
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Flll in the table to give all possible types of plane isometries given by a product of two types. For example, a product of two rotations may be a rotation, or it may be another type. Fill in the box corresponding to pp with both letters. Use your answer to Exercise 2 to eliminate some types. Eliminate the identity from consideration.
Data from Exercise 2
Let P stand for an orientation preserving plane isometry and R for an orientation reversing one. Fill in the table with P or R to denote the orientation preserving or reversing property of a product.
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