The following is true of European empires in the early modern world:

A. The main characteristic of 17th and 18th century empires was that they contained many different kingdoms.

B. European empires expanded as a result of transoceanic voyages of exploration and establishment of colonies.

C. The fastest growing of the new overseas European empires was that of England, which by 1700, included Canada and the Caribbean.

D. The French Empire became even larger than the British one due to France's early successes in gaining territory in Asia and America.

These statements are true:

B. European empires expanded as a result of transoceanic voyages of exploration and establishment of colonies

The age of discovery started with the Portuguese, who established colonies in Africa and Asia. The Spanish followed soon and colonized most of South and Central America. In the following decades, the French, Dutch and Swedish did the same.

Therefore, interoceanic voyage was interlinked with colonization. As European nations discovered new lands, they took hold of those areas, subjected the local populations, extracted natural resources, and annexed the new colonies to their growing empires.

D. The French Empire became even larger than the British one due to France's early successes in gaining territory in Asia and America.

During the earlier phases of European Imperialism, the French were more succesful than the English, at least, in amount of territory held. In the Americas, the French ruled a large area from Quebec to New Orleans, although not many french colonizers lived there.

The English focused on the Eastern Colonies, that were smaller in land area, but larger in population.