The smaller triangle is the image of the larger triangle after a dilation. The center of the dilation is (4,2). What is the scale factor used to create the dilation?
We can find the scale factor as follows :
(8,2) = [ ( -8, 2) - (4,2) ] * Scale Factor + (4,2)
(8,2) = [ -12, 0] *Scale Factor + (4, 2)
(8, 2) - (4, 2) = [ -12, 0 ] * Scale Factor
(4, 0) = [ -12, 0 ] * Scale Factor
Scale Factor = (4/ -12) = -1/3