Q:

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I':[IMAGE ATTACHED]Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'?A (x, y)→(x − 8, y − 7)B (x, y)→(x − 7, x − 8)C (x, y)→(x − 4, x − 5)D (x, y)→(x − 5, y − 4)

Accepted Solution

A:
Answer:The  rule which represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I' is:                   Option: A      A.     (x, y)→(x − 8, y − 7)Step-by-step explanation:From the figure that is provided to us we see that the Hexagon DEFGHI is transformed to  hexagon D'E'F'G'H'I' by the use of translation transformation.From the image we see that the coordinate F which is located at (6,3)is transformed to F' which is located at (-2,-4)i.e. let (x,y) → (x+h,y+k)This means that:   F(6,3) → F'(-2,-4)i.e.  (6+h,3+k)=(-2,-4)i.e.  6+h= -2 and   3+k= -4i.e.  h= -2-6  and  k= -4-3i.e. h= -8 and  k=-7Hence, the rule of transformation is:      (x,y) → (x-8,y-7)