Geometry Logic Review

Front

What is a counterexample?

Back

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

Front

If an animal is furry, then it is a hamster. What is a counterexample?

Back

A cat is a counterexample because it is furry but not a hamster.

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

True or False: A counterexample is an example that proves a conjecture to be true.

Back

False.

Front

How many squares are in Figure 4?

Back

There are 11 squares in Figure 4.

Front

What are the missing numbers in the pattern: 23, 33, ___, 53, ___, 73?

Back

The missing numbers are 43 and 63.

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 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 an unproven statement.

Front

What is the purpose of a counterexample in mathematics?

Back

The purpose of a counterexample is to show that a conjecture or statement is false.

Front

What does it mean for a number to be divisible by another number?

Back

A number is divisible by another number if dividing them results in a whole number with no remainder.