Tamyanswer Tamyanswer
  • 21-05-2018
  • Mathematics
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What are the coordinates of the triangle after a dilation with a scale factor of 2? Center it at (2, 2) .

What are the coordinates of the triangle after a dilation with a scale factor of 2 Center it at 2 2 class=

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mathmate
mathmate mathmate
  • 21-05-2018
Dilation of a point P(x,y) with scale factor s centred at (p,q) is given by
P'=(p+s*(x-p),q+s*(x-q))

Substituting 
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))

P           P'
(2,4)      (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6)      (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3)     (2+2(-3-2), 2+2*(3-2)) = (-8, 4)
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sqdancefan
sqdancefan sqdancefan
  • 21-05-2018
The coordinates are (-8, 4), (-2, 10), (2, 6).

Each point has moved twice as far away from (2, 2) as it was originally. Each coordinate (x, y) becomes (2x-2, 2y-2).
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