# counter example

**Definition of Counterexample **

- Counterexample is an example that is used to disprove a statement.

**Examples of Counterexample**

- The opposite of a number is always positive.
Counterexample for the above statement: The opposite of 2 is - 2, a negative number.

**Solved Example on Counterexample**

Which of the following is a counterexample of the statement, "The perimeter of a rectangle can never be an odd number"?

**Choices:**

A. Length of a rectangle is 3.25 in. and width is 5.25 in.

B. Length of a rectangle is 10 in. and width is 7 in.

C. Length of a rectangle is 6.5 in. and width is 4.5 in.

D. Length of a rectangle is 9 in. and width is 5 in.

**Correct Answer: A**

**Solution:**

**Step 1:** The counterexample that disproves the given statement is:

'Length of a rectangle is 3.25 in. and width is 5.25 in.'

**Related Terms for Counterexample**