Question

SV has coordinates S(-6,1) and V(-1,-7). Find the coordinates of S'V' after a dilation with a scale factor of 3 centered at (-1,1)

Answer 1

S'(-16,1) and V'(-1,-23)

Explanation:

It is given that SV has coordinates S(-6,1) and V(-1,-7).

We need to find the coordinates of S'V' after a dilation with a scale factor of 3 centered at (-1,1).

If a figure dilated by factor k and center of dilation is (a,b), then

`(x,y)\rightarrow (k(x-a)+a,k(y-b)+b)`

SV dilated by scale factor of 3 centered at (-1,1).

`(x,y)\rightarrow (3(x-(-1))+(-1),3(y-1)+1)`

`(x,y)\rightarrow (3x+2,3y-2)`

SV has coordinates S(-6,1) and V(-1,-7). The vertices of image are

`S(-6,1)\rightarrow S'(-16,1)`

`V(-1,-7)\rightarrow V'(-1,-23)`

Therefore, the coordinates of S'V' after a dilation are S'(-16,1) and V'(-1,-23).