Question

Write the coordinates of the vertices after a dilation with a scale factor of 1/3, centered at the origin.S (3, -12)S' (___,___)

Answer 1

A transformation that is a dilation with factor k and centered in the origin can be modeled as:

`P=(x,y)\longrightarrow P^(\prime)=(kx,ky)`

In this case the point is S = (3,-12) and k=1/3, so we have:

`S=(3,-12)\longrightarrow S^(\prime)=((1)/(3)\cdot3,(1)/(3)\cdot(-12))=(1,-4)`

Answer: S' = (1,-4)