Question

Triangle STV was dilated with the origin as the center of dilation to form Triangle S'T'V'.

On a coordinate plane, triangles S T V and S prime T prime V prime are shown. Triangle S T V has points (0, 6), (negative 3, negative 6), and (3, negative 6). Triangle S prime T prime V prime has points (0, 2), (negative 1, negative 2) and (1, negative 2).

What is the scale factor of the dilation?

One-third
Two-thirds
Three-halves
Three

Answer 1

One-third

Reason: Each coordinate is multiplied by 1/3 (e.g., S (0,6) → S' (0,2); T (-3,-6) → T' (-1,-2)).