A triangle has vertices at B(-3,0), C(2, -1), D(-1,2). Which series of transformations would produce an image with vertices B"(4.1), C"(-1,0), D (2, 3)? (x, y) ->(X-Y), (x, y) -> (x + 1, y+ 1)
(X, Y) ->(-x, y), (x, y) -> (x + 1, y+1)
(x, y) ->(x, y), (x, y) -> (x + 2, Y+2)
(x, y) -> (-x, y), (x, y) -> (x +2,Y+2)

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Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

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