Mathematics
Grade9
Easy

Question

What is the preimage of point P’(2, 2). Use the translation. open parentheses x comma blank y close parentheses rightwards arrow open parentheses x plus 2 comma y minus 2 close parentheses.

  1. P(-2, 0)    
  2. P(-8, 2)    
  3. P(4, -2)    
  4. P(0, 4)    

The correct answer is: P(0, 4)


    We were given a point and asked to find the preimage of the point
    Given translation is open parentheses x comma blank y close parentheses rightwards arrow open parentheses x plus 2 comma y minus 2 close parentheses
    Let the preimage of P’(2, 2) be P(x, y)
    Equating the x coordinates of image, we get
    x +2 = 2
    x = 2- 2 = 0
    Equating the y coordinates of image, we get
    y – 2 = 2
    y = 2+2 = 4
    So, P (x, y) = (0, 4)

    From comparing the given point with translation we obtained the original point that is pre image (0,4)

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