Question

triangle stv was dilated with the origin as the center of dilation to form △ stv. what is the scale factor of the dilation? options: \\(\frac{1}{3}\\), \\(\frac{2}{3}\\), \\(\frac{3}{2}\\), \\(\frac{3}{1}\\)

Explanation:

Step1: Identify coordinates of a vertex

Take vertex \( S \) and \( S' \). Assume \( S=(0,6) \), \( S'=(0,4) \) (from grid).

Step2: Calculate scale factor

Scale factor \( k = \frac{\text{Image coordinate}}{\text{Pre-image coordinate}} = \frac{4}{6} = \frac{2}{3} \).

Answer:

B. \( \frac{2}{3} \)