Question

what is the scale factor from abc to abc

Explanation:

Step1: Identify coordinates of points

Coordinates:
$A(-4, -10), B(-10, -5), C(-4, -5)$
$A'(-1, -2), B'(-2, -1), C'(-1, -1)$

Step2: Calculate length of a side of ABC

Length of $BC$:
$BC = |-4 - (-10)| = 6$

Step3: Calculate length of corresponding side of A'B'C'

Length of $B'C'$:
$B'C' = |-1 - (-2)| = 1$

Step4: Compute scale factor

Scale factor = $\frac{\text{Length of A'B'C' side}}{\text{Length of ABC side}}$
$\text{Scale factor} = \frac{1}{6}$

Answer:

$\frac{1}{6}$