Question

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 the coordinates of the polygon after dilation.

Answer 1

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)`

For B(1,4)

`[(1,4)-(-1,4)]*3+(-1,4)\\(2,0)*3+(-1,4)\\(6,0)+(-1,4)\\(5,4)`

For C(4,4)

`[(4,4)-(-1,4)]*3+(-1,4)\\(5,0)*3+(-1,4)\\(15,0)+(-1,4)\\(14,0)`

Therefore these (5,-5) , (5,4) and (14,0) are the new coordinates of polygon after dilation.