The coordinates of trapezoid efgh are e(4, 6), f(2, 3), g(4, 2), and h(8, 4). the image of efgh under dilation is e'f'g'h'. if the coordinates of vertex g' are (2, 1), what are the coordinates of vertex h'?

When it doesn't say, we assume the dilation is around the origin, so we just multiply all the coordinates by the dilation factor .

I'll include more detail than I would in my own homework; if you're comfortable skipping a step, feel free.





That's two equations,  and .  Fortunately they have a common root,