Respuesta :
To determine a dilation centered at the origin (0,0) by a determined scale factor k, you have to multiply both coordinates of the original point by the scale factor.
For example por a determined point P with coordinates (x, y) the dilation centered at the origin is:
Original point → Dilated point
P(x, y) → P'(x*k, y*k)
For example:
The point Q has coordinates (8, 9)
You have to dilate it by scale factor k= 1/4
To calculate the dilation, multiply both coordinates by the scale factor:
[tex]Q(8,9)\to Q^{\prime}(8\cdot\frac{1}{4},9\cdot\frac{1}{4})=Q^{\prime}(2,2.25)[/tex]The result of dilating point Q by sclae factor 1/4 is Q'(2,2.25)
