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