Question

For the dilation, Do, k = (5, 0 ) —> (10,0) , the scale factor is equal to ____.

Answer 1

The question is given below as

`D_(0,k)=(5,0)\Rightarrow(10,0)`

Concept:

You can dilate figures on the coordinate plane. The origin is often used as the center of dilation. If you are dilating a figure centered at the origin, you can multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image.

Hence,

To figure out the scale factor k, we will divide the x value of the image by the x value of the object below as

In this case, there has been an enlargement and this shows that the value of k will be greater than zero k>0

`\begin{gathered} k=(x^(\prime))/(x) \\ x^=5 \\ x^(\prime)=10 \end{gathered}`

By substituting the values, we will have

`\begin{gathered} k=(10)/(5) \\ k=2 \end{gathered}`

Hence,

The final answer is

`\Rightarrow2`

Hence,

The SECOND OPTION is the right answer