Question: Answer the following questions 1. Let a : & - & be defined by a (x, y) = (6 - x, -y). a) Prove that

Answer the following questions

1. Let a : & - & be defined by a (x, y) = (6 - x, -y). a) Prove that o is a transformation. b) Find the fixed-point set of or. c) Is a an involution? d) Is a an isometry? 2. Let Q = (1, 1), and let f be the line through O with direction vector v = 2 a) Find the Cartesian equation of the line m so that po. = 0mof. b) Let p = pop and a = pop". Using the parity and fixed points of or, prove that o is the reflection in the line p(()

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