1. Lesson 43: Participial Clauses Participles
A participle comes from a verb, but functions as an adjective e.g. burnt toast
Latin has four participles, but the only type you have officially learned is the perfect passive
present active loving mother amans mater
perfect passive loved mother amata mater
future active about to love mother amatura mater
future passive about to be loved mother amanda mater
The perfect passive participle is formed from the 4th principal part
Perfect passive participles decline like 1st/2nd declension adjective

2. Lesson 43: Participial Clauses Perfect Participles Declined
Masculine
Feminine
Neuter
Nominative Singular
amatus
amata
amatum
Genitive
amati
amatae
Dative
amato
Accusative
amatam
Ablative
amatā
Nominative Plural
amatorum
amatarum
amatis
amatos
amatas

3. Lesson 43: Participial Clauses Translating Clauses
The simplest way to translate a participle as a simple adjective e.g. dominus servum liberatum non habet (the master does not keep the freed slave).
However, participles can (note this is not mandatory) also be made into more elaborate clauses dependent to ease fluidity.
Relative: The master does not keep the slave who was freed.
Temporal: The master does not keep the slave after/once he was freed.
Causal: The master does not keep the slave since/because he was freed.
Adversative: The master does not keep the slave although he was freed.
Conditional: The master does not keep the slave if he was freed.
From the list above, some clearly make more sense than others. It is your choice which to use.