If we want to express a completed action which happened in the past in French, we use the perfect tense. In order to form it we use either avoir or etre and conjugate them in the present form and then add the past participle. Today we will focus on using avoir.
eg. 'I have eaten lunch already' -- J'ai déjà mangé le déjeuner
eg. 'We walked to the supermarket' -- Nous avons marché au supermarché
In the above examples the conjugated forms of avoir in the present are 'J'ai' / 'Nous avons' and the past participles are 'mangé' / 'marché'
AVOIR
The simpler, more commonly used auxiliary form is avoir. To form this we firstly take the present form:
J'ai Tu as Il/elle a Nous avons Vous avez Ils/elles ont
I have / You have (singular) / He/she has / We have / You (plural) have / They have
We then add the past participles. These are formed by taking the -ER / -RE / -IR ending off the verb and adding the endings:
-ER -RE -IR
é u i
eg. finir --- fini
eg. vendre --- vendu
eg. commencer --- commencé
These past participles remain the same regardless of the person.
Unfortunately there are some irregular past participles which do not follow this rule and we must learn these, for example:
avoir -- eu
comprendre -- compris
écrire -- écrit
lire -- lu
faire -- fait
etre -- été
I hope this has helped!