Identify Counterexamples and Patterns

Front

What is a counterexample?

Back

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

Front

Back

x = 2 or x = -2.

Front

What is the purpose of a counterexample in mathematics?

Back

To show that a conjecture is false.

Front

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

Back

An angle greater than 90 degrees, such as 120 degrees.

Front

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

Back

False.

Front

What is the definition of an acute angle?

Back

An angle that measures less than 90 degrees.

Front

Provide an example of a counterexample for the statement: If an animal is furry, then it is a hamster.

Back

A cat.

Front

How many squares are in a figure with 11 squares?

Back

11.

Front

What is a conjecture?

Back

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

Front

What is the relationship between a conjecture and a counterexample?

Back

A counterexample can disprove a conjecture.