For each of the following, determine if it is a rigid motion of E2. Prove your...

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For each of the following, determine if it is a rigid motion of E2. Prove your assertion: 4 3 a. f₁(x, y) = (x − y + 1, ²x + ²y + 2) 5 5 y + 2 x + ² y + 1) b. f₂(x, y) = (x - 5y Let f be the function from part 1 which is a rigid motion. Define: 1 = {(x, y)|x − y = 20} and q = {(x, y)|(x - 5)² + (y + 5)² = 25}. a. Find the fixed points of f if there are any. b. Find f-¹. c. f[l] d. f[q] For each of the following, determine if it is a rigid motion of E2. Prove your assertion: 4 3 a. f₁(x, y) = (x − y + 1, ²x + ²y + 2) 5 5 y + 2 x + ² y + 1) b. f₂(x, y) = (x - 5y Let f be the function from part 1 which is a rigid motion. Define: 1 = {(x, y)|x − y = 20} and q = {(x, y)|(x - 5)² + (y + 5)² = 25}. a. Find the fixed points of f if there are any. b. Find f-¹. c. f[l] d. f[q]

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Part 1 A rigid motion in the plane also called an isometry is a transformation that preserves distances between points There are three types of isometries translations rotations and reflections For th... View the full answer