Under a dilation, the point (2, 6) is moved to (6, 18). What is the scale factor of the dilation?

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asked Oct 15, 2017 99.4k views

2 Answers

Chourobin · Answer 1 · 2017-10-17T13:37:57+0000

Answer: The scale factor of the dilation =3

Explanation:

We know that if we transform point (x,y) by using dilation with scale factor k then the coordinate of the image will be (kx,ky).

Given: under a dilation, the point (2, 6) is moved to (6, 18)

Here (x,y)=(2,6) and (kx,ky)=(6,18)

$\\\Rightarrow\ x=2\ and\ kx=6\\\Rightarrow\ k(2)=6\\\Rightarrow\ k=3$

Hence, the scale factor for the given dilation= 3.