Geometry Logic Review

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition.

Front

If it is an angle, then it is acute. What is a counterexample?

Back

120⁰ is a counterexample because it is an angle but not acute.

Front

Which number is a counterexample to the statement: All numbers that are divisible by 2 are divisible by 4?

Back

42 is a counterexample because it is divisible by 2 but not by 4.

Front

What is the purpose of a counterexample in logic?

Back

To prove that a conjecture or statement is false.

Front

What does the symbol ∨ mean in logic?

Back

The symbol ∨ means 'or'.

Front

What does the logical statement 'Not A or B' imply if A is true?

Back

If A is true, then 'Not A' is false, making the entire statement false.

Front

What is an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.

Front

What is the definition of a conjecture?

Back

A conjecture is a statement that is believed to be true but has not yet been proven.

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general rule or conclusion is inferred from specific cases.

Front

What is the difference between a theorem and a conjecture?

Back

A theorem is a statement that has been proven to be true, while a conjecture is a statement that is proposed to be true but not yet proven.