Question

After a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A’(0,0), B’(0,10), C’(15,0) what is the scale factor

Answer 1

The triangle is dilated from

`\begin{gathered} (1)A(0,0)\rightarrow A^1(0,0) \\ \text{There is no change in coordinate here, } \\ \text{This shows the center of dilation is at point (0,0)} \\ \\ (2)\text{ } \\ \text{From B(0,4) }\rightarrow B^1(0,10) \\ Scale\text{ factor is }(10)/(4)\text{ = 2.5} \\ Or\text{ } \\ (3)\text{ from C(6,0) to (15,0)} \\ Scale\text{ factor is }(15)/(6)\text{ = 2.5} \end{gathered}`

The scale factor of the dilation is 2.5