Are these two sentences correct?
Adjectival prepositonal phrase:
I like in our house the big kitchen to cook in. (in our house is the adjectival prepositonal phrase)
Participal Phrase:
I dislike ordering an item online to find a damaged package when it arrives. (damaged package is the participal phrase)
Adjectival prepositonal phrase:
I like in our house the big kitchen to cook in. (in our house is the adjectival prepositonal phrase)
I'd move "in our house" so that it is immediately after "kitchen." Otherwise, yes, it's fine.
Participal Phrase:
I dislike ordering an item online to find a damaged package when it arrives. (damaged package is the participal phrase)
The word "damaged" is being used as a participle here, but it's not a participial phrase. Here's an example:
The package damaged during shipment cost more than it was worth.
(In that sentence "damaged during shipment" is a participial phrase.)
Here's another example:
Hiding in the closet, the child felt safe during the thunderstorm.
("Hiding in the closet" is the participial phrase.)
No, those two sentences are not correct regarding the identification of the adjectival prepositional phrase and the participial phrase.
Adjectival prepositional phrase:
An adjectival prepositional phrase consists of a preposition followed by a noun or pronoun that functions as an adjective to describe a noun. However, in the first sentence you provided, "in our house" is not an adjectival prepositional phrase. It is a prepositional phrase, but it does not function as an adjective to describe the noun "kitchen." Instead, it provides information about the location where the action of cooking takes place.
The correct identification of the adjectival prepositional phrase in the first sentence would be: "the big kitchen." It describes the noun "kitchen" by specifying its size and functions as an adjective.
Participial phrase:
A participial phrase consists of a participle (a verb form often ending in -ing or -ed) along with any modifiers or complements of that participle. In the second sentence you provided, "ordering an item online" is a participial phrase modifying the pronoun "I." It describes the action being taken by the subject.
However, "to find a damaged package when it arrives" is not a participial phrase. It is an infinitive phrase that begins with the infinitive "to find." It indicates the purpose or intention of the action in the main clause.
To correctly identify the participial phrase in the second sentence, you would refer to "ordering an item online."