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which of the following reasons can be used for statement 3 of the proof of the exterior angle theorem?
triangle sum theorem
Proof of bpt theorem?
Theory_of_BPT_theorem
How did Pythagoras know that his theorem was true?
He created a proof.
Sequence of steps that leads to a valid conclusion as for the theorem?
proof
Do theorems need to be proved?
By definition, a theorem is a proven statement- until a proof is made for a statement, it is not a theorem but rather a conjecture. Whether you need to be able to reproduce the proof of a known theorem is another matter. If you trust the prover, I think you can make use of a theorem without knowing the proof. However, studying the proof can give you valuable insights into what the theorem really means and how it might be used. Also, reading proofs made by other people can help you prove you own theorems and write them up coherently.
which of the following reasons can be used for statement 3 of the proof of the exterior angle theorem?
triangle sum theorem
complete the paragraph proof?
converse of the isosceles triangle theorem
which of these correctly fills in the blank 2 in the proof given line x....?
vertical Angles theorem
which of these correctly fills in the blank 3 in the paragraph proof of the converse of the alternate interior angles theorem?
A+
A valid argument which shows that a mathematical statement called a theorem is true?
Pythagoras' theorem is only theorem regarding right angle triangles but it is true.
What reasons are proof that the angle bisector construction can be used to bisect any angle?
Proposition 3 of Book IV in Euclid's Elements (angle bisector theorem)
which of these correctly fills in blank 2 in the paragraph proof of the converse of the alternate interior angles theorem?
transitive property of congruence
which of these correctly fills in the blank to complete the paragraph proof?
congruent
Parts of formal proof of theorem?
Parts of formal proof of theorem?
What is proof of Pythagoras's theorem?
It can be shown that for any right angle triangle that its hypotenuse when square is equal to the sum of its squared sides.
what- complete blank 1 and blank 2 for the following proof that the acute angles of a right triangle are complementary?
(1) substitution, (2) subtraction
Does science offer conclusive proof for a theory?
Sometimes Yes, as in Pythagoras' Theorem. Other times No, for as Godel's Incompleteness Theorem shows, there will be complete bodies of knowledge in which there will be truths that cannot be proven, and falsities which cannot be denied. [I paraphrase his theorem.]
