Answer:
9.4 units.
Step-by-step explanation:
Given information: |OQ| = 9.4 units, |OQ’| = 17.1 units, and |P’Q’| = 17.1 units.
Dilated figure is similar to the original figure. It means the corresponding sides are proportional.
[tex]\dfrac{|OQ|}{|OQ'|}=\dfrac{|PQ|}{|P'Q'|}[/tex]
Substitute the given values.
[tex]\dfrac{9.4}{17.1}=\dfrac{|PQ|}{17.1}[/tex]
Multiply both sides by 17.1.
[tex]\dfrac{9.4}{17.1}\times 17.1=\dfrac{|PQ|}{17.1}\times 17.1[/tex]
[tex]9.4=|PQ|[/tex]
Hence, the measure of |PQ| is 9.4 units.
