johnnytest johnnytest
  • 13-11-2016
  • Mathematics
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a (-8,-6) b (-2,-6),c (-5,-4) reflection across the line x=1

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bartdrinksmalk
bartdrinksmalk bartdrinksmalk
  • 13-11-2016
The distance from [tex](h, k)[/tex] to [tex]x=1[/tex] is [tex]1-h[/tex]

To reflect across the line, we go twice this distance, which is [tex]2-2h[/tex]

So the new x-coordinate is [tex]h+(2-2h)=2-h[/tex]

[tex]A (-8, -6)[/tex] becomes [tex]A' (2-(-8), -6)=(10, -6)[/tex]
[tex]B (-2, -6)[/tex] becomes [tex]B' (2-(-2), -6)=(4, -6)[/tex]
[tex]C (-5, -4)[/tex] becomes [tex]C' (2-(-5), -6)=(7, -6)[/tex]
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