Referring to Exercise 10, which types of plane isometries, if any, have exactly two fixed points? Data

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Referring to Exercise 10, which types of plane isometries, if any, have exactly two fixed points? 

Data from Exercise 10.

A plane isometry ∅ has a fixed point if there exists a point P in the plane such that ∅( P) = P. Which of the four types of plane isometries (other than the identity) can have a fixed point?

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