Mathematics
Grade9
Easy

Question

Quadrilateral ABCD with vertices A (1, 4), B (0, 1), C (3, 1), and D (4, 4). Find the image of each vertex after the translation. (x, y) → (x + 3, y + 1).

  1. A’ (4, 5), B’ (3, 2), C’ (6, 2), D’ (7, 5)    
  2. A’ (4, -5), B’ (-3, 2), C’ (6, 2), D’ (7, 5)    
  3. A’ (4, 5), B’ (3, 2), C’ (6, -2), D’ (-7, 5)    
  4. A’ (4, 5), B’ (-3, 2), C’ (6, 2), D’ (7, 5)    

hintHint:


 

The correct answer is: A’ (4, 5), B’ (3, 2), C’ (6, 2), D’ (7, 5)


    Given vertices of the Quadrilateral ABCD is A (1, 4), B (0, 1), C (3, 1), and D (4, 4).
    To find the image of each vertex after performing the given translation (x, y) → (x + 3, y + 1).
    Given: (x, y) → (x + 3, y + 1).
    The image of point A (1, 4) will be A’ (4, 5)
    The image of point B (0,1) will be B’ (3, 2)
    The image of point C (3, 1) will be C’ (6, 2)
    The image of point D (4, 4) will be D’ (7, 5)
    Images of each vertex of quadrilateral:
    A’ (4, 5), B’ (3, 2), C’ (6, 2), D’ (7, 5)

    The image of each vertex after performing the given translation (x, y) → (x + 3, y + 1) is A’ (4, 5), B’ (3, 2), C’ (6, 2), D’ (7, 5).

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