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Conjecture: a statement which may or may not be true.

Postulate: a statement that is believed to be true, but may not be.

Theorem: a statement that has been proved to be true provided some postulates are true.

Corollary: a statement whose truth follows from the truth of a theorem, but one which is not important enough to call it a theorem.

Q: What is the difference between a conjecture postulate theorem and corollary?

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There is no difference - synonymous.

a ruler measures the distance and a protractor measures the angles

A proof uses postulates and theorems to prove some statement.

postulate theorems tell that the lines are parallel, but the converse if asking you to find if the lines are parallel.

When you need to measure the distance between two objects (to install a dishwasher, for instance), the ruler postulate is no only helpful, but necessary.

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There is no difference - synonymous.

a ruler measures the distance and a protractor measures the angles

The difference between a hypothesis and a conjecture is that a hypothesis is something investigated or accepted as highly probable in the light established facts and a conjecture is the formation or expression of an opinion or theory without sufficient evidence for proof.

A postulate is assumed to be true while a theorem is proven to be true. The truth of a theorem will be based on postulates.

A proof uses postulates and theorems to prove some statement.

A postulate is something that is accepted as true without proof. A theorem, on the other hand, is something that has been proven and is now being accepted as true.

The distance postulate is such: the shortest distance between two points is a line.(xy, x-y) The distance postulate is such: the shortest distance between two points is a line.(xy, x-y)

You can make whatever conjecture that you want: it does not have to be true or even logical. You could conjecture that the relationship is like the one between the Sun and the Earth!

postulate theorems tell that the lines are parallel, but the converse if asking you to find if the lines are parallel.

postulate is something that is assumed to be true wthout any proof, but the hypothesis is something not considered to be true or false wthout a proof or further experimentations (bakhtawar tufail)

When you need to measure the distance between two objects (to install a dishwasher, for instance), the ruler postulate is no only helpful, but necessary.

joe