Question

9. SV has coordinates s(-6,1) and V(-1,-7). Find the coordinates of S'V' after o dilotion
with a scale factor of 3 centered ot(-1,1),

Answer 1

Answer:

S'$(-15,0)$ and V'$(0,-24)$

Step-by-step explanation:

The rule for dilation of a point $(x,y)$ with scale factor $k$ centered at $(a,b)$ is

$(x,y)$→$(k(x-a),k(y-b))$

For the point S(-6,1), $x=-6,y=1,a=-1,b=1,k=3$

So, coordinates of S' will be $(3(-6-(-1)),3(1-1))=(-15,0)$

For the point V(-1,-7), $x=-1,y=-7,a=-1,b=1,k=3$

So, coordinates of V' will be $(3(-1-(-1)),3(-7-1))=(0,-24)$

Therefore, the co-ordinates of S' and V' are S'$(-15,0)$ and V'$(0,-24)$.