Conditional Statements Worksheet

Conditional Statements

Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

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 even if it is divisible by 2.

Hypothesis:  

Conclusion:  

Write the converse, inverse, and contrapositive for the following conditional statement:

Conditional: If it is raining, then the ground is wet.

1. Converse:

2. Inverse:

3. Contrapositive:

1. Which of the following statements is logically equivalent to a conditional statement?

Determine whether each statement is True or False.

1. If a conditional statement is true, its converse is always true.

1. Write the following statement as a biconditional: If two angles are congruent, then they have the same measure, and if two angles have the same measure, then they are congruent.