Question

What appears to be the scale factor used tocreate this dilation?0.250.52-2

Answer 1

The coordinates of trinagle ABC is :

A(2, 1), B(-1, 3), C(-3,-2)

and the coordinates of triangle A'B'C'

A'(4,2) B'(-2,6), C'(-6,-4)

For the dialation, find the constant ratio:

Divide A'/A :

`\begin{gathered} (A^(\prime))/(A)=((4,2))/((2,1)) \\ \text{ The ratio of coordinates of A' to A is 2} \\ i\mathrm{}e\text{. A'=2(A)} \end{gathered}`

Now, for the coordinates B,

`\begin{gathered} (B^(\prime))/(B)=((-2,6))/((-1,3)) \\ \text{ the ratio of coordinates of B' to B is 2} \\ i\mathrm{}e\text{. B'=2B} \end{gathered}`

Now, for the coordinate C:

`\begin{gathered} (C^(\prime))/(C)=((-6,-4))/((-3,-2)) \\ \text{the ratio of coordinates of C' to C is 2} \\ i\mathrm{}e\text{. C' =2C} \end{gathered}`

thus, the scale factor of dialation is 2

Answer : scale Factor = 2