Question

a dilation has center (0,0). find the image of the point B (5/4, -4/3) for the scale factor 1/3 D1/3= B'........(type an ordered pair. simplify your answer)

Answer 1

Given :

The center of dilation = ( 0 , 0 )

And the scale factor = r = 1/3

Given the point :

$B=(\frac{5}{4},-\frac{4}{3})$

The rule of dilation is :

$(x,y)\rightarrow(rx,ry)$

So, the image of B = B'

And the coordinates of B' is :

$\begin{gathered} B^{\prime}=(\frac{1}{3}\cdot\frac{5}{4},\frac{1}{3}\cdot-\frac{4}{3}_{} \\ \\ B^{\prime}=(\frac{5}{12},-\frac{4}{9}) \end{gathered}$