Question

triangle stv was dilated with the origin as the center of dilation to form △ stv. what is the scale factor of the dilation?
1/3
2/3
3/2
3/1

Explanation:

Step1: Find the coordinates of \(S\) and \(S'\)

Assume the grid has unit length. Let \(S=(0,3)\) and \(S'=(0,1)\)

Step2: Calculate the scale factor

The scale factor \(k\) of a dilation with center at the origin is given by \(k=\frac{y - coordinate\ of\ image}{y - coordinate\ of\ pre - image}\) (since the center of dilation is the origin and we are looking at a vertical - like change here). So \(k = \frac{1}{3}\)

Answer:

\(\frac{1}{3}\)