SOLUTION: This is about dilation, Why is the center point always its own image?

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Question 200141: This is about dilation,
Why is the center point always its own image?
Answer by jim_thompson5910(21681) About Me  (Show Source):
You can put this solution on YOUR website!
Think of the center as the point (0,0). Whenever you dilate an image, you are multiplying the coordinates of EVERY point by some constant value "c". So some arbitrary point (x,y) is multiplied by "c" to get the new point (cx, cy). Remember, multiplying 0 by any number gets you zero. So (c*0, c*0) ---> (0,0) which is the same point. So the center is only point that does not get affected by the dilation.