the scale factor of the dilation of segment hg is $\frac{1}{6}$. if pg equals 0.5 units, what is pg? 2.5…
the scale factor of the dilation of segment hg is $\frac{1}{6}$. if pg equals 0.5 units, what is pg? 2.5 units 3 units 4.5 units 6 units
Answer
Answer:
B. 3 units
Explanation:
Step1: Recall dilation formula
The formula for dilation is $PG'=\text{scale - factor}\times PG$.
Step2: Rearrange the formula
We can rewrite it as $PG=\frac{PG'}{\text{scale - factor}}$.
Step3: Substitute values
Given $PG' = 0.5$ and scale - factor=$\frac{1}{6}$, then $PG=\frac{0.5}{\frac{1}{6}}$.
Step4: Calculate
$PG = 0.5\times6=3$ units.