Final answer:
The correct punctuated participial phrase to complete the sentence is 'Kevin and Kalia choose, could not find their tennis rackets.'
Step-by-step explanation:
The correct punctuated participial phrase to complete the sentence is 'Kevin and Kalia choose, could not find their tennis rackets.'. The participial phrase 'could not find their tennis rackets' provides additional information about Kevin and Kalia after they made their choice. The comma is necessary to separate the participial phrase from the main part of the sentence.