Can you figure out the meaning by defining the terms literally? No, so it is an idiom. Literally, it means to remove something, but figuratively it means for an airplane to get off the ground.
You had to take your hat off to him based on his success.
The image is of you "taking a load off" of your feet, which are holding you up. If you take a load off your feet, you'd sit down. This is most commonly used as an invitation to sit, as in "Come on in, take a load off."
To "take off full blast" means to start quickly. The idiom refers to a motor or jet engine starting off at full blast or full throttle, which would be as fast as possible.
the idiom of really upset is "pissed off"
Madagascar is not an idiom, it is an island off the coast of Africa.
"Take you out in a box" is an idiom for "murder" in that you will be carried away in a coffin.
"Chip off the old block" IS an idiom! It means that the child is just like the parent.
An idiom is something that does not mean what the phrase says literally, so yes. You can't actually laugh your head off.
Dozing off ; Being distracted ; Not paying attention
The idiom, "Take his temperature" is an idiom because his temperature is not really being taken away from him, it is actually being measured. In fact, the temperature of his body is being measured - that is your answer.
The idiom will u please get off my back means stop bugging me or leave me alone
I cannot find an idiom that starts off "she cried tears." When you cry, you cry tears, so that would not be a good idiom anyway.