Question

ASAP WILL MARK BRAINIEST ANSWER FOR FIRST CORRECT ANSWER Find the image of A(4, -2) after it is reflected over the line y = 2, then reflected over the line x = 2. (-8, 6) (0, -2) (0, 6) (-8, -2)

Answer 1

0,6.....thx for the Brainliest!

Answer 2

Answer:

(0, 6)

Step-by-step explanation:

Since, when a points is reflected through the line y = 2,

Then, the rule will be,

$(x,y)\rightarrow (x, -(y-4))$

While, the points is reflected through the line x = 2,

Then, the rule will be,

$(x,y)\rightarrow (x-4, y)$

So, when (4,-2) is reflected over the line y = 2 is,

$(4,-2)\rightarrow (4, -(-2-4))$

Hence, the position of (4,-2) after reflection through line y = 2 is (4,6),

Now,  when (4,6) is reflected over the line x=2 is,

$(4,6)\rightarrow (4-4, 6)$

Hence, the position of (4,6) after reflection through line x = 2 is (0,6),

Third option is correct.