Answer:
3
Step-by-step explanation:
The scale factor of the dilation of segment HG is [tex]\frac{1}{6}[/tex].
Now, PG' = 0.5 units
As per the rule of scale factor:
[tex]\frac{PG'}{PG} =SF=\frac{1}{6}[/tex], where SF represents the scale factor.
Solving for PG, we get:
[tex]PG=PG' \times 6=0.5 \times 6=3.0[/tex]
Therefore, the length of the segment PG is 3 units.
