Question

A dilation maps (2,3) to (4,6).A) What is the scale factor of the dilation B) if (-6,3) is under tie sale dilation, what would it’s new coordinate be?

Answer 1

Given:

A dilation maps (2,3) to (4,6).

Required:

To find the scale factor and the new coordinate.

Step-by-step explanation:

(a)

Scale factor = dimension of the new coordinate / dimension of the original coordinate.

So

`\begin{gathered} =(4)/(2) \\ =2\text{ and} \\ =(6)/(3) \\ =2 \end{gathered}`

Therefore scale factor is 2.

(b)

If (-6,3) is under the same dilation.

The new coordinate is

`\begin{gathered} =2(-6,3) \\ =(-12,6) \end{gathered}`

Final Answer:

(a) 2

(b) (-12,6)