Conditional Statements Worksheet
Grade 11 Math worksheet focusing on conditional statements, converses, inverses, contrapositives, and biconditionals.
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Conditional Statements Worksheet
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Read each question carefully and follow the instructions. Show all your work where applicable.
For each conditional statement, identify the hypothesis and the conclusion.
1. If a polygon has three sides, then it is a triangle.
Hypothesis:
Conclusion:
2. A number is divisible by 10 if its last digit is 0.
Hypothesis:
Conclusion:
Given the conditional statement: "If it is raining, then the ground is wet."
1. Write the converse of the statement.
2. Write the inverse of the statement.
3. Write the contrapositive of the statement.
Determine if each statement is True or False.
1. If a number is odd, then it is a prime number.
True
False
2. If a quadrilateral has four right angles, then it is a rectangle.
True
False
1. Which of the following conditional statements can be written as a true biconditional statement?
If a number is even, then it is divisible by 2.
If a figure is a square, then it has four sides.
If two angles are vertical angles, then they are congruent.
If a polygon is a triangle, then it has three angles.
Provide a counterexample for each conditional statement to show that it is false.
1. If a number is divisible by 4, then it is divisible by 8.
2. If a shape has four equal sides, then it is a square.