Answer:
A. Crying noisily, my baby sister pointed to the broken toy.
Explanation:
Participial phrase is a set of words, starting with a participle, that functions as an adjective, or more precisely, modifies a noun.
Participle is a verb that functions as an adjective. Present participle usually ends up in -ing (don't mix it with gerund), while past participle ends in -ed (if the verb is regular) or it can have different endings if the verb is irregular.
Now, answers C. and D. don't contain a participle, let alone a participial phrase.
Answer B. contains the participle "boiling". It looks like a verb, but it modifies the noun "kettle" so it's participle. However, there is no participial phrase, only a participle.
Answer A. contains present participle "crying" as well as the participial phrase "crying noisily". This phrase functions as an adjective since it modifies the noun phrase "my baby sister".