Conditional Statements Worksheet
Explore conditional statements, their converses, inverses, and contrapositives with this Grade 9 math worksheet.
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Conditional Statements
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Read each question carefully and provide your answer in the space provided. For multiple-choice questions, circle the best answer. For fill-in-the-blank questions, complete the statement with the correct term. For short-answer questions, write a clear and concise response.
1. Which of the following is the hypothesis in the conditional statement: "If it rains, then the ground is wet"?
The ground is wet
It rains
If it rains
Then the ground is wet
2. What is the converse of the statement: "If a polygon is a square, then it has four equal sides"?
If a polygon has four equal sides, then it is a square.
If a polygon is not a square, then it does not have four equal sides.
If a polygon does not have four equal sides, then it is not a square.
A square has four equal sides.
3. The of a conditional statement is formed by switching the hypothesis and the conclusion.
4. The of a conditional statement negates both the hypothesis and the conclusion.
5. A conditional statement and its always have the same truth value.
6. The inverse of a true conditional statement is always true.
True
False
7. A conditional statement is false only when the hypothesis is true and the conclusion is false.
True
False
8. Write the converse, inverse, and contrapositive of the following conditional statement:
Conditional: If an animal is a dog, then it is a mammal.
Converse:
Inverse:
Contrapositive:
Match each term to its definition.
9. Conditional Statement
a. The negation of both the hypothesis and conclusion.
10. Converse
b. An if-then statement.
11. Inverse
c. Switching the hypothesis and conclusion.
12. Contrapositive
d. Switching and negating both the hypothesis and conclusion.