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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.
What is the first step to indirectly proving a statement?
The first step to indirectly proving a statement, often through proof by contradiction, is to assume the opposite of what you want to prove. This means you begin by assuming that the statement is false. From this assumption, you then derive logical consequences, aiming to reach a contradiction or an impossible scenario. If a contradiction is found, it indicates that the original statement must be true.
What is another name for a indirect proof?
Another name for an indirect proof is a proof by contradiction. In this method, the assumption of the opposite of what you want to prove is made, leading to a logical contradiction. This contradiction implies that the original statement must be true.
What term best describes a proof in which you assume the opposite of what you prove?
The term that best describes a proof in which you assume the opposite of what you intend to prove is "proof by contradiction." In this method, you start by assuming that the statement you want to prove is false. Then, by logically deriving a contradiction from that assumption, you conclude that the original statement must be true. This technique is commonly used in various fields of mathematics and logic.
How can we demonstrate the validity of a statement using proof by absurdity or contradiction?
To demonstrate the validity of a statement using proof by absurdity or contradiction, we assume the opposite of the statement is true and then show that this assumption leads to a logical contradiction or absurdity. This contradiction proves that the original statement must be true.
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.
True or false To begin an indirect proof you assume the converse of what you intend to prove is true?
True. In an indirect proof, also known as a proof by contradiction, you start by assuming that the opposite (or converse) of what you want to prove is true. Then, you logically derive a contradiction from that assumption, which shows that the original statement must be true.
Which term best describes a proof in whichill you assume the opposite of that you want to prove?
The term that best describes this type of proof is "proof by contradiction." In this method, you start by assuming that the statement you wish to prove is false. By logically deducing consequences from this assumption, you aim to reach a contradiction, thereby demonstrating that the original statement must be true. This approach is commonly used in mathematics to establish the validity of propositions.
Is the second statement the contradiction of the first?
To determine if the second statement is the contradiction of the first, we need to analyze the meanings of both statements. A contradiction occurs when one statement asserts something that cannot coexist with the other. If the second statement directly negates the truth of the first, then it is indeed a contradiction. Otherwise, they may be related but not contradictory.
