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  • 26-05-2021
  • Mathematics
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Explanation needed
find the image of (1 2) after a reflection about y=-1 followed by a reflection about y=1

Explanation needed find the image of 1 2 after a reflection about y1 followed by a reflection about y1 class=

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tankisfun97 tankisfun97
  • 26-05-2021

Answer:

A‘‘ (1,6)

Step-by-step explanation:

after a reflection about a horizontal line the x coordinates remain the same

the middle point of the segment AA’ lies on the line so it has y = -1

so we have

(y+y’)/2 = -1

y’ = -2 -y

y‘ = -2 -2 = -4

so A‘ (1,-4)

we can use the same reasoning to find the reflection about y = 1

x‘ = x

(y + y’)/2 = 1

y‘ = 2+4

y’ = 6

A‘‘(1,6)

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