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### High School Mathematics13.4 Translation

 Translation Mapping: A mapping of a plane in which each point of the plane moves in the same direction by the segments, all congruent to a given segment (equal distance) is called a translation. Translation moves every point of a figure the same distance in the same direction. Examples: Find the coordinates of the image of (2,7), under the translation defined by (x,y) ® (x+2, y+1). T(x,y) ® (x+2, y+1). T(2,7) ® (2+2, 7+1). The coordinates of the image is (4,8) A quadrilateral has vertices A(-4,3), B(-2,4), C(-1,1) and D(-3,1). Find the coordinates of the image after translation (x,y) ® (x+5,y-2). (x,y) ® (x+2, y+1). A(-4,3) ® (1, 1) B(-2,4) ® (3, 2) C(-1,1) ® (4, -1) D(-3,1) ® (2, -1) Directions: Choose the correct answer. Also write at least 5 examples of your own.
 Q 1: Point on image: (6, -9); translation: (x,y) --> (x-7, y-4) Find the corresponding point on the original figure. (-1,-13)(13, -5)(-4, 10) Q 2: Find the coordinates of the image of (3, 4), under the translation defined by (x,y) ® (x+2, y-1).(5,3)(5,5)(3,5) Q 3: Find the coordinates of the image of (5, 3), under the translation defined by (x,y) ® (x-2, y-4).(3, -1)(3, 1)(-3, 1) Q 4: If (0,3) translates to (1,2), then (2,5) translates to _______(4, 3)(3, 4)(2, 5) Q 5: Find the coordinates of the image of (2, 8), under the translation defined by (x,y) ® (x, y-5).(3, 4)(4, 3)(3, -4) Q 6: Point on image: (4, 0); translation: (x,y) --> (x+2, y-3) Find the corresponding point on the original figure. (3, 4)(2, 3)(4, 3) Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!