Question

If PG' equals 0. 5 units, what is PG? 2. 5 units 3 units 4. 5 units 6 units.

Answer 1

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,

What is the scale factor?

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;

$\rm \dfrac{PG'}{PG}= SF = \dfrac{1}{6}$

Where SF represents the scale factor.

Solving for PG, we get:

$\rm \dfrac{PG'}{PG}=\dfrac{1}{6} \\\\ \dfrac{0.5}{PG} = \dfrac{1}{6}\\\\ 0.5 \times 6= 1\times PG\\\\ PG = 3$

Hence, the value of PG is 3 units.

To know more about the Scale factor click the link given below.

brainly.com/question/16806865