Answer:
The coordinates of A' after a glide reflection along the line y=2 and translation with the rule: (x,y) → (x+7,y) are:
A'(5,9)
Step-by-step explanation:
We are given coordinates of point A as (-2,-5)
Now first this point is reflected along the line y=2.
Hence, the coordinates of A get changed by the rule:
(x,y) → (x,y+14)
As the point A is 7 units below the line y=2 and hence after reflection it will lie 7 units above the line so the difference in y-value is of 14 units.
Hence A(-2,-5) → (-2,9)
Now this point (-2,9) is translated to get A' using the rule:
(x,y) → (x+7,y)
Hence,
(-2,9) → (-2+7,9)
(-2,9) → (5,9)
Hence, the coordinates of A' are:
(5,9)
