Question

After a dilation with center (0,0), the image of DB is D'B'. IDB = 4.5 and D'B' = 18, the scale factor of this dilation is (1) (3) (2) 5 (4) 4

Answer 1

We can write the length of DB like this:

`4.5=(9)/(2)`

Now, to find the scale factor of the dilation, we have to solve for k the following equation:

`(9)/(2)k=18`

then, we have the following:

`\begin{gathered} (9)/(2)k=18 \\ \Rightarrow9k=18\cdot2=36 \\ \Rightarrow k=(36)/(9)=4 \\ k=4 \end{gathered}`

therefore, the scale factor is k=4