A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0). The origin is the center of dilation. What is the scale factor of the dilation?
The answer is 2.5. The origin will remain at (0,0) no matter what. But if you multiply 4 by 2.5, you get 10. And if you multiply 6 by 2.5, you get 15. So the scale factor is 2.5.
