Proof by contradiction (HSC SSCE Mathematics Extension 2): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
ShowHide
Practise the questions
10 questions from this quiz
What is proof by contradiction?
What is proof by contradiction?
Assuming a statement is false
What is the first step in proof by contradiction?
What is the first step in proof by contradiction?
State the proposition
What does negation mean in this context?
What does negation mean in this context?
To assume the opposite
What is a contradiction?
What is a contradiction?
A logical error
How many contradictions are needed?
How many contradictions are needed?
One
What is the conclusion of proof by contradiction?
What is the conclusion of proof by contradiction?
The original statement is true
What is the relationship between contradiction and contraposition?
What is the relationship between contradiction and contraposition?
Both use negation
What is an example of proof by contradiction?
What is an example of proof by contradiction?
Proving the irrationality of √2
What does deriving consequences involve?
What does deriving consequences involve?
Identifying logical outcomes
What is the main goal of proof by contradiction?
What is the main goal of proof by contradiction?
To confirm a statement is true