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What are necessary when proving that the diagonals of a rectangle are congruent?

A ruler or a compass would help or aternatively use Pythagoras' theorem to prove that the diagonals are of equal lengths


What has the author Donald N Cohen written?

Donald N. Cohen has written: 'Knowledge based theorem proving and learning' -- subject(s): Automatic theorem proving, Data processing, Psychology of Learning, Theory of Knowledge


suppose you want to prove the isosceles triangle theorem by proving that JKL?

L


What means of Q.ED in maths when theorem proved?

Q.E.D is from the Latin, "quod erat demonstrandum." It means, "that which was to be demonstrated," and is the standard way of ending the proving of a theorem.


Why-despite its usefulness in proving mathematical and geometrical problems-the pythagorean theorem remains just a theorem?

This theory sometimes yields non-terminating decimals, due to the square root function. These results are not exact. The uncertainty of these inexact results proves that: The equation, in its present form, is not accurate enough to be considered a scientific law. So it will remain a theory until it can be adjusted to eliminate these inaccuracies.


Uses of basic proportionality theorem?

The basic proportionality theorem is an important tool for proving similarity tests such as SAS. It is used in comparison of similar triangles and finding their measurements.


How do you use theorem to prove statements?

To use a theorem to prove statements, you first need to identify the relevant theorem that applies to the situation at hand. Next, you clearly state the hypotheses of the theorem and verify that they hold true for your specific case. Then, you apply the theorem's conclusion to derive the desired result, ensuring that each step in your argument logically follows from the theorem and any established definitions or previously proven results. Finally, you summarize how the theorem provides the necessary justification for your statement.


Difference between a theorem and lemma?

Theorem: A mathematical statement that is proved using rigorous mathematical reasoning. In a mathematical paper, the term theorem is often reserved for the most important results. Lemma: A minor result whose sole purpose is to help in proving a theorem. It is a stepping stone on the path to prove a theorem. The distinction is rather arbitrary since one mathematician's major is another's minor claim. Very occasionally lemmas can take on a life of their own (Zorn's lemma, Urysohn's lemma, Burnside's lemma, Sperner's lemma).


What is the formula name for b2c?

Pythagoras is is credited with its discovery and proving it. It is referred to as the Pythagorean Theorem. = =


What is a subsidiary math theorem?

A lemma, or a subsidiary math theorem, is a theorem that one proves as an interim stage in proving another theorem. Lemmas can be viewed as scaffolding for the proof. Usually, they are not that interesting in and of themselves, but there are exceptions. See the related link for examples of lemmas that are famous independently of the main theorems.


What has the author Alexander Leitsch written?

Alexander Leitsch has written: 'The resolution calculus' -- subject(s): Automatic theorem proving


What has the author David A Plaisted written?

David A. Plaisted has written: 'Complete problems in the first-order predicate calculus' -- subject(s): Computational complexity, Predicate calculus 'The efficiency of theorem proving strategies' -- subject(s): Automatic theorem proving 'Well-founded orderings for proving termination of systems of rewrite rules' -- subject(s): Verification, Recursive programming, Computer programs 'A recursively defined ordering for proving termination of term rewriting systems' -- subject(s): Recursion theory, Computer programming, Rewriting systems (Computer science), Automatic theorem proving 'An NP-complete matching problem' -- subject(s): Data processing, Graph theory, NP-complete problems, Matching theory