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Geometry
7.4 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:

  1. 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)
  2. 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.

Name: ___________________

Date:___________________

Geometry
7.4 Translation

Q 1: Find the coordinates of the image of (4, 9), under the translation defined by (x,y) (x+4, y-2).
(6, 8)
(8, 7)
(7, 8)

Q 2: Point on image: (4, 0); translation: (x,y) --> (x+2, y-3) Find the corresponding point on the original figure.
(2, 3)
(3, 4)
(4, 3)

Q 3: Find the coordinates of the image of (5, 6), under the translation defined by (x,y) (x+2, y-1).
(7, 5)
none
(5, 7)

Q 4: 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 5: 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 6: 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)

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Question 8: This question is available to subscribers only!


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