Math  /  Geometry

QuestionIn the coordinate plane, the point A(2,2)A(-2,2) is translated to the point A(0,3)A^{\prime}(0,3). Under the same translation, the points B(1,5)B(1,5) and C(5,0)C(-5,0) are translated to BB^{\prime} and CC^{\prime}, respectively. What are the coordinates of BB^{\prime} and CC^{\prime} ? B. (1) c.(1)

Studdy Solution
Apply the translation vector v=(2,1) \vec{v} = (2, 1) to point C(5,0) C(-5, 0) :
C=(5+2,0+1)=(3,1) C' = (-5 + 2, 0 + 1) = (-3, 1)
The coordinates of B B' are (3,6) \boxed{(3, 6)} and the coordinates of C C' are (3,1) \boxed{(-3, 1)} .

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