Answer:
B) Searching for the key, I dropped my purse
Step-by-step explanation:
A participial phrase is a type of phrase that seems like a verb but actually functions as an adjective, that is, it modifies the noun in a sentence.
A participial phrase begins with a participle, either a present or a past participle.
The sentence:
Searching for the key, I dropped my purse,
correctly uses the participial phrase (searching for the key)
From the sentence, searching for the key seems like the verb of the sentence but it is actually an adjective that tells us about the pronoun "I" which is the subject of the sentence. The participial phrase describes and helps us understand why the subject dropped the purse.