"This is the country where my family lives."

Translation: Це країна, де живе моя сім'я.

[va-diim]

це is the noun "this" or "it."

-This/it- is my wife. Це моя дружина.

When it's a noun determiner, then it matches the gender and case of its noun,

-This woman- is my wife. Ця жінка - це моя дружина,

except that a singular, nominative, gender-neuter noun also uses це as a noun determiner.

this bucket - це відро
this egg - це яйце