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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)

Respuesta :

tc30
0,6.....thx for the Brainliest!

Answer:

(0, 6)

Step-by-step explanation:

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

Then, the rule will be,

[tex](x,y)\rightarrow (x, -(y-4))[/tex]

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

Then, the rule will be,

[tex](x,y)\rightarrow (x-4, y)[/tex]

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

[tex](4,-2)\rightarrow (4, -(-2-4))[/tex]

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,

[tex](4,6)\rightarrow (4-4, 6)[/tex]

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

Third option is correct.

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