13. 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'?

a.) ( 5, 9 )
b.) ( 5, -5 )
c.) ( -2, 2 )
d.) ( 6, 2 )

5 answers

first to (5,-5)
then to (5, 2+5) = (5,7)
ah well :(
actually, 2+7=9
-5 is 7 units below y=2
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)
eeee is right pogchamp
right