Conditional Statements Worksheet

Conditional Statements

Read each question carefully and provide the best answer. Remember that a conditional statement has two parts: a hypothesis and a conclusion.

1. Which of the following is the hypothesis in the statement: "If it rains, then the ground is wet"?

2. What is the conclusion in the statement: "If a polygon has four sides, then it is a quadrilateral"?

3. A conditional statement is often written in the form "If p, then q," where p is the   and q is the  .

4. To show that a conditional statement is false, you only need to find one  .

5. The converse of "If p, then q" is "If q, then p."

6. The inverse of "If p, then q" is "If not p, then not q."

7. Write the converse of the following statement: "If a number is even, then it is divisible by 2."

8. Write the inverse of the following statement: "If a shape is a square, then it has four equal sides."

9. Write the contrapositive of the following statement: "If an animal is a dog, then it barks."

10. Consider the statement: "If a figure is a triangle, then it has three sides."

Is this statement true or false? Explain your reasoning.

Draw an example of a triangle.