Worksheet: Hypothesis and Conclusion of a Conditional Statement

In this worksheet, we will practice identifying the hypothesis and conclusion of a conditional statement given in the if-then form.

Q1:

Read the following conditional statement: If it is raining, then Dina has her umbrella up.

Write the converse of the statement.

  • AIf it is not raining, then Dina does not have her umbrella up.
  • BIf Dina does not have her umbrella up, then it is raining.
  • CIf Dina does not have her umbrella up, then it is not raining.
  • DIf Dina has her umbrella up, then it is raining.

Write the inverse of the statement.

  • AIf it is not raining, then Dina has her umbrella up.
  • BIf Dina does not have her umbrella up, then it is raining.
  • CIf Dina has her umbrella up, then it is raining.
  • DIf it is not raining, then Dina does not have her umbrella up.

Write the contrapositive of the statement.

  • AIf Dina does not have her umbrella up, then it is not raining.
  • BIf it is not raining, then Dina does not have her umbrella up.
  • CIf Dina has her umbrella up, then it is raining.
  • DIf Dina does not have her umbrella up, then it is raining.

Q2:

Read the following conditional statement: If Sameh does his homework, then he gets his weekly allowance.

What is the hypothesis?

  • ASameh does his homework.
  • BSameh gets his weekly allowance.

What is the conclusion?

  • AHe gets his weekly allowance.
  • BHe does his homework.

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