Question

If |OQ| = 9.4 units, |OQ’| = 17.1 units, and |P’Q’| = 17.1 units, determine |PQ|. Round your answer to the tenths place, if necessary.

Answer 1

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.

$\dfrac{|OQ|}{|OQ'|}=\dfrac{|PQ|}{|P'Q'|}$

Substitute the given values.

$\dfrac{9.4}{17.1}=\dfrac{|PQ|}{17.1}$

Multiply both sides by 17.1.

$\dfrac{9.4}{17.1}\times 17.1=\dfrac{|PQ|}{17.1}\times 17.1$

$9.4=|PQ|$

Hence, the measure of |PQ| is 9.4 units.