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:

$S=(3,-12)\longrightarrow S^{\prime}=(\frac{1}{3}\cdot3,\frac{1}{3}\cdot(-12))=(1,-4)$

Answer: S' = (1,-4)