(a) The vertices after the reflection in the line x = 5 are F'(4,6) , G'(2,8) , H'(2,3) .
and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .
In the question a triangle FGH with vertices F(6,6) , G(8,8) and H(8,3) is given 
Part (a)
the rule for reflection of point (x,y) by the line x = p  is 
(x,y) → (2×p - x , y)
reflection by the line x = 5 , 
we get 
the vertices as
  (2×5-6,6) = (4,6)
(2×5-6,6) = (4,6) 
G'(2×5-8,8) = (2,8) 
H'(2×5 - 8 ,3) = (2,3) 
Part (b)
the rule of translation is given as (x,y)→ (x - 7, y - 9) 
So , the vertices after translation are 
F''(6-7 , 6-9) = (-1,-3)
G''(8-7,8-9) = (1,-1)
H''(8-7,3-9) = (1,-6)
Therefore , (a) The vertices after the reflection in the line x = 5 are F'(4,6) 
G'(2,8) , H'(2,3) .
and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .
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