The Elves felt they were being attacked and responded in kind. Since Thorin refused to tell them why he was in their realm, for fear they would want some of the treasure (he coveted the Arkenstone and feared others would try to take it), they decided to imprison him just to be safe. The Elves distrusted the Dwarves, and they had, for many years, been seen as beggars.
In The Hobbit the thirteen dwarves are imprisioned by the Wood Elves of Mirkwood because
When the dwarves are questioned about what they are doing in Mirkwood, they refuse to answer, making Thranduil (the Elvenking of Mirkwood) extremely suspious. As a result, the dwarves were to remain in prision until they revealed their intentions.
It should be noted that the dwarves were not badly treated while they were captives.
The Elven King captures them and puts them in his dungeons. They had strayed off the path in Mirkwood looking for food and were too weak to consider fighting. The Elven King accuses them of attacking his subjects, trespassing and being spies.
They did not want to tell the elven king why they were in the forest when he asked.
The elven king in The Hobbit is the leader of the race of Elves that lived in Mirkwood.
Thranduil is the Elven King of Mirkwood, and father of Legolas.
Stay with them at the camp rather than return to the dwarves.
Made in Gondolin (along with Sting) for the elven king Turgon.
They did not want to tell the elven king why they were in the forest when he asked.
The elven king in The Hobbit is the leader of the race of Elves that lived in Mirkwood.
The Elven King
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There was not always animosity between the Elves and the Dwarves. Dwarves made the best armour and the elves often traded and bought and sold. The entrance was the primary access point for their dealings, and was placed their mostly for the purpose of the elves. The elves of Eregion were great craftsmen, and they traded and worked with the dwarves of Moria, and there was great friendship. This ended when Sauron revealed himself, slew the elves' king, Celebrimbor, and the Gates of Moria were shut.
Thranduil is the Elven King of Mirkwood, and father of Legolas.
The elven king thought the dwarves were there to steal his treasures.
No.
he thinks that they might be slain by dragons or captured by lakemen
yes it is
King Minos of Crete tried to imprison Daedalus in the labyrinth he had created to hold the Minotaur.