carolina drew X'Y' 12 units long on a coordinate plane. Her dilated line segment is parallel to XY, which measures 15 units long. What was the scale factor of dilation for the line segment Carolina drew?

We are given original line =XY=15 units dilated line =X'Y'=12 units now, we have to find dilated factor we know that dilated factor = (dilated line)/(original line)Let's assume dilated factor=Dso, we get [tex] D=\frac{X'Y'}{XY} [/tex]we can plug valueand we get [tex] D=\frac{12}{15} [/tex]now, we can simplify itso, we can factor numerator and denominator [tex] D=\frac{3*4}{3*5} [/tex]3 will get cancelled[tex] D=\frac{4}{5} [/tex]so, dilated factor is [tex] =\frac{4}{5} [/tex]...............Answer