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To prove by contradiction, you assume that an opposite assumption is true, then disprove the opposite statement.
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Which term best describes in which you assume the opposite of what you want to prove?
Contradiction or indirect proof.
For every line segment there is exactly one midpoint?
Yes. It is a theorem. To prove it, use contradiction.
Which term best describes a proof in which you assume the opposite of what you wan to prove?
Proof by contradiction (APEX)
Which term best describes a proof in which you assume the opposite of what you want to prove?
The term that best describes a proof in which you assume the opposite of what you want to prove is 'indirect proof'.
True or false In the body of an indirect proof you must show that the assumption leads to a contradiction?
TrueIt is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
What does one begin by assuming to prove a statement by contradiction?
To prove a statement by contradiction one begins by assuming the statement is not true. Contradiction is the act of giving the opposing something that you feel is not right.
To prove a statement by contradiction one begins by assuming the statement?
opposite
What is a contradiction of a statement?
A contradiction of a statement is a statement that proves the previous statement wrong.
Contradiction is proved by what statement?
In general a contradiction cannot be proved.
How do you prove a conjecture is false?
Prove that if it were true then there must be a contradiction.
How do you use contradictin a sentence?
The statement was a contradiction in itself.
Features of paradox?
The feature of a paradox is that it is contradictory. The contradiction can be a statement or an opinion.
What does implicitly contradictory mean?
An implicit contradiction, as opposed to an explicit contradiction, is hidden within the logical structure of the statement. If you figure it out, you will discover that there is a contradiction. Explicit contradictions don't have to be figured out, they merely have to be pointed out.
Which term best describes in which you assume the opposite of what you want to prove?
Contradiction or indirect proof.
Which term best describes a proof in which you assume the opposite of what you want to prove.?
proof by contradiction
What is a statement that is not possible called?
An impossible statement. Perhaps conundrum, or better: paradox, contradiction. It could also be called 'undefined'.
What element is or are necessary for a geometric proof?
A statement to prove. It may be a theorem or not.A starting point that is based on information that is given.A sequence of steps based on logical application of axioms or theorems (in geometry or mathematics).These must conclude with the statement that you set out to prove.An alternative (reductio ad absurdum) is to start with the assumption of the truth of the negation of the statement that you wish to prove. Again using logical methods, show that this must lead to a contradiction and therefore, the assumption must be false and thus the statement must be true.
