Question 1152987
When a figure is dilated, a segment (side) of the pre-image that does not pass through the center of dilation will be parallel to its image. 

center of dilation:({{{0}}},{{{0}}})
point on line {{{r}}} is:({{{0}}},{{{1}}})
point on line {{{r}}}’ is:({{{0}}},{{{4}}})
so, ({{{0*k}}},{{{1*k}}})=({{{0*4}}},{{{1*4}}})=({{{0}}},{{{4}}})=>the scale factor is {{{k=4}}}


answer:b. {{{k=4}}}