An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
There is no difference - synonymous.
Difference between first shifting and second shifting theorem
It is not an axiom, but a theorem.
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
There is no relationship between slope and the theorem, however the theorem does deal with the relationship between angles and sides of a triangle.
A theorem is a proved rule but an axiom cannot be proven but is stated to be true.
The axioms are the initial assumptions. The theorems are derived, by logical reasoning, from the axioms - or from other, previously derived, theorems.
There is no difference - synonymous.
It is not an axiom, but a theorem.
Difference between first shifting and second shifting theorem
It is not an axiom, but a theorem.
properties are based on axioms
It is not an axiom, but a theorem.
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.
The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle.
Yes, it is, as are all the following: Completeness Axiom Heine-Borel Nested Set Bolzano-Weierstrass Monotone Convergence
It seems there might be a typo in your question, as you mention the Isuzu Axiom twice. If you meant to compare the Isuzu Axiom with another vehicle, please specify which one. If you're looking for information about the Isuzu Axiom itself, it is a midsize SUV produced from 2001 to 2004, known for its unique styling and off-road capability, but it ultimately struggled with sales and brand recognition.