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

Answer:

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

Step-by-step 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).