In geometry we learn theorems and postulates, but what does a theorem and postulate mean? What is the difference between the two?
A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven.
So a postulate can't be proven?
A postulate is something that is commonly accepted as true statement, but cannot be proved. A theorem can be proved.
Exactly
A Postulate is something that we agree is true. For example, it is postulated that we are living. We can't really prove or define life, but it is given. e.g., a line is straight. We don't need to prove this because we already know a line is straight. A theorem on the other hand can be proven using postulates and statements. For example, an angle is 90 degree because a completely horizontal line intersects and completely vertical line.
:)
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