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Mrac [35]
3 years ago
5

ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?A. (-7, -

1)B. (-7, 1)C. (7, 1)D. (7, -1)

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of B are (-5,-7).

If ABC is reflected across x = 1, then

(x,y)\rightarrow(1-(x-1),y)

(x,y)\rightarrow(2-x,y)

(-5,-7)\rightarrow(2+5,-7)

(-5,-7)\rightarrow(7,-7)

If ABC is reflected across y =-3.

(x,y)\rightarrow(x,-3-(y-(-3)))

(x,y)\rightarrow(x,-6-y)

(7,-7)\rightarrow(7,-6-(-7))

(7,-7)\rightarrow(7,1)

Therefore option C is correct.

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