Line segment xy is dilated to create line segment x'y' using point t as the center of dilation.

plz!
what is yt?

3 units
6 units
12 units
15 units

The answer 

X'Y' and XY are parallels, measX'Y'T = measXYT, there is similarity between the two triangles, we can find YT by using theorem of thales, 

it is TY' / TY =TX' / TX =X'Y' /XY, so TY' / TY = TX' / TX = 9/ TY =6/ 2+6=6/8

and then 9/ TY = 6/8 therefore  TY= 12

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