Question

A(-2,-5) A' is a glide reflection where the translation is (x,y) (x+7,y) , and the line of reflection is y =2. What are the coordinates of A' ?

Answer 1

5,9 is the answer for transformations unit test

Answer 2

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)

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)