The point a (-7, 5) is reflected over the line x = -5, and then is reflected over the line x = 2. what are the coordinates of a'?

(7, 19)
(10, 5)
(7, 5)

(7,5)

Step-by-step explanation:

Given : The point A (-7, 5) is reflected over the line x = -5, and then is reflected over the line x = 2.

To Find: What are the coordinates of A'

Solution :

When The point A (-7, 5) is reflected over the line x = -5

Rule :(x,y)→(-x-10,y)

Using rule : (-7,5)→(-(-7)-10,5)→(-3,5)

Now we are given that it is reflected over the line x = 2

Rule :(x,y)→(-x+4,y)

Using rule : (-3,5)→(-(-3)+4,5)→(7,5)

Thus the coordinates of A' is (7,5)

Hence Option C is correct.

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