A polygon has vertices A(1,1), B(1, 4), C(4, 4). This figure is dilated by a factor of 3 and center of dilation (-1, 4). Find th
e coordinates of the polygon after dilation.
1 answer:
Answer:
Step-by-step explanation:
New coordinate = [old coordinate - dilation center]* scale factor + dilation center
So,
For A(1,1)
![[(1,1)-(-1,4)]*3+(-1,4)\\(2,-3)*3+(-1,4)\\(6,-9)+(-1,4)\\(5,-5)](https://tex.z-dn.net/?f=%5B%281%2C1%29-%28-1%2C4%29%5D%2A3%2B%28-1%2C4%29%5C%5C%282%2C-3%29%2A3%2B%28-1%2C4%29%5C%5C%286%2C-9%29%2B%28-1%2C4%29%5C%5C%285%2C-5%29)
For B(1,4)
![[(1,4)-(-1,4)]*3+(-1,4)\\(2,0)*3+(-1,4)\\(6,0)+(-1,4)\\(5,4)](https://tex.z-dn.net/?f=%5B%281%2C4%29-%28-1%2C4%29%5D%2A3%2B%28-1%2C4%29%5C%5C%282%2C0%29%2A3%2B%28-1%2C4%29%5C%5C%286%2C0%29%2B%28-1%2C4%29%5C%5C%285%2C4%29)
For C(4,4)
![[(4,4)-(-1,4)]*3+(-1,4)\\(5,0)*3+(-1,4)\\(15,0)+(-1,4)\\(14,0)](https://tex.z-dn.net/?f=%5B%284%2C4%29-%28-1%2C4%29%5D%2A3%2B%28-1%2C4%29%5C%5C%285%2C0%29%2A3%2B%28-1%2C4%29%5C%5C%2815%2C0%29%2B%28-1%2C4%29%5C%5C%2814%2C0%29)
Therefore these (5,-5) , (5,4) and (14,0) are the new coordinates of polygon after dilation.
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