Question

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

the scale factor is $square$.

Explanation:

Step1: Identify a pair of corresponding points

Take point $B(6,2)$ and its image $B'(16,5)$? No, correct pair: $B(6,2)$ and $B'(16,5)$ is wrong, use origin as center, take point $A(2,4)$ and $A'(4,10)$? No, better: use point $C(2,2)$ and $C'(5,5)$? Wait, origin is the center, take point $A(2,4)$: $A'(4,10)$ no, wait $A$ is (2,4), $A'$ is (5,10). Calculate ratio of coordinates.

Step2: Calculate scale factor from coordinates

For $x$-coordinate: $\frac{5}{2}=2.5$, for $y$-coordinate: $\frac{10}{4}=2.5$. Or use $B(6,2)$ and $B'(15,5)$: $\frac{15}{6}=2.5$, $\frac{5}{2}=2.5$.

Answer:

$2.5$ (or $\frac{5}{2}$)