The correct option is B which is the value of PG is 3 units.
Given
The scale factor of the dilation of segment HG is 1/6.
If PG' equals 0.5 units,
The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.
The scale factor of the dilation of segment HG is 1/6.
By the rule of scale factor;
[tex]\rm \dfrac{PG'}{PG}= SF = \dfrac{1}{6}[/tex]
Where SF represents the scale factor.
Solving for PG, we get:
[tex]\rm \dfrac{PG'}{PG}=\dfrac{1}{6} \\\\ \dfrac{0.5}{PG} = \dfrac{1}{6}\\\\ 0.5 \times 6= 1\times PG\\\\ PG = 3[/tex]
Hence, the value of PG is 3 units.
To know more about the Scale factor click the link given below.
https://brainly.com/question/16806865
