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

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

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)`.