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Please Consider the function f : R -> R given by f(x, y) = (2 -...

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Question

Basic Math

Please Consider the function f : R -> R given by f(x, y) = (2- y, 2 - x).

(a) Prove that f is an isometry.

(b) Draw the triangle with vertices A = (1, 2), B = (3, 1), C =(3, 2), and the triangle with vertices f(A), f(B), f(C).

(c) Is f a rotation, a translation, or a glide reflection?Explain your answer.

Answer & Explanation Solved by verified expert
3.7 Ratings (301 Votes)
a Lets prove that the function f preserve thedistance For this let us assume any two points P x1y1 and another point Q x2    See Answer
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