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

9.4 units.

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.

`(|OQ|)/(|OQ'|)=(|PQ|)/(|P'Q'|)`

Substitute the given values.

`(9.4)/(17.1)=(|PQ|)/(17.1)`

Multiply both sides by 17.1.

`(9.4)/(17.1)* 17.1=(|PQ|)/(17.1)* 17.1`

`9.4=|PQ|`

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