Geometry Logic Review

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture.

Front

True or False: A counterexample proves a conjecture to be true.

Back

False

Front

True or False: To fully disprove a conjecture, one needs to find only ONE counterexample.

Back

True

Front

What is an appropriate counterexample for the statement: 'If it is a number, then it is either positive or negative'?

Back

0

Front

What are the next two numbers in this pattern: 12, 17, 22, 27, ___, ___?

Back

32, 37

Front

What is used to prove that a conjecture is false?

Back

Counterexample

Front

Define conjecture in geometry.

Back

A conjecture is a statement that is believed to be true based on observations 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 deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion follows necessarily from the premises presented.

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 believed to be true but not yet proven.