Question

enter the answer in the space provided. use numbers instead of words.the scale factor is .

Explanation:

Step1: Identify corresponding points

Original points: $L(3,14)$, $K(12,6)$, $J(3,6)$; Image points: $L'(1,7)$, $K'(4,2)$, $J'(1,2)$

Step2: Calculate scale factor

Take the ratio of x-coordinates (or y-coordinates) of a corresponding pair, e.g., $\frac{x_{L'}}{x_{L}} = \frac{1}{3}$ (or $\frac{y_{L'}}{y_{L}} = \frac{7}{14} = \frac{1}{2}$? Correction: Recheck coordinates: $L(3,14)$, $L'(1,7)$: $\frac{1}{3}$ for x, $\frac{7}{14}=\frac{1}{2}$? No, correct: $J(3,6)$, $J'(1,2)$: $\frac{1}{3}$ for x, $\frac{2}{6}=\frac{1}{3}$. $K(12,6)$, $K'(4,2)$: $\frac{4}{12}=\frac{1}{3}$, $\frac{2}{6}=\frac{1}{3}$. Correct ratio is $\frac{1}{3}$.

Answer:

$\frac{1}{3}$