IF-THEN STATEMENT

Determining the Relationship Between the Hypothesis and the Conclusion of an If-then Statement

Find my Match!

Directions: Match each input with its corresponding output. 

Multiple Choice

1. I studied for my Math test.

• We need to use our umbrella.

• The family enjoyed delicious food for dinner.

• I got a good grade.

• People get sick.

• I felt sad and betrayed.

Multiple Choice

2. It is raining.

• We need to use our umbrella.

• The family enjoyed delicious food for dinner.

• I got a good grade.

• People get sick.

• I felt sad and betrayed.

Multiple Choice

3. People are exposed to germs.

• We need to use our umbrella.

• The family enjoyed delicious food for dinner.

• I got a good grade.

• People get sick.

• I felt sad and betrayed.

Multiple Choice

4. She told my secret.

• We need to use our umbrella.

• The family enjoyed delicious food for dinner.

• I got a good grade.

• People get sick.

• I felt sad and betrayed.

Multiple Choice

5. Mom was in the kitchen cooking all afternoon.

• We need to use our umbrella.

• The family enjoyed delicious food for dinner.

• I got a good grade.

• People get sick.

• I felt sad and betrayed.

Conditional Statement or

If-then Statement

Conditional Statement 

• A conditional statement (also called an if then statement) is a statement with a hypothesis followed by a conclusion

• Conditional statements are formed by joining two statements p and q using the words if and then.

• The p statement is called the hypothesis, while q statement is the conclusion.

Here are the following illustrative examples that will guide and help you to understand the lesson.

• Input: I studied for my math test.

  Output: I got a good grade.

• Answer: If I studied for my math test, then I got a good grade.

• Input: It is raining.

  Output: We need to use our umbrella.

• Answer: If it is raining, then we need to use our umbrella.

A conditional statement has a truth value of either true (T) or false (F). For us to know the truth value of the statement we are going to use the Truth Table.

Let’s try the following examples:

• Example 1: If I studied for my math test, then I got a good grade.

• Hypothesis: I studied for my math test (TRUE)

  Conclusion: I got a good grade (TRUE)

• Therefore, the truth value of the conditional

  statement is true.

• Example 2: If it is raining, then we need to use our umbrella.

• Hypothesis: it is raining (TRUE)

  Conclusion: we need to use our umbrella (TRUE)

• Therefore, the truth value of

  the conditional statement is true.

Directions: Identify the hypothesis and conclusion of each of the following

statements.

Multiple Select

1. If two lines form right angles, then the lines are perpendicular.

• Hypothesis: Two lines form right angles

  Conclusion: The lines are perpendicular

• Hypothesis: The lines are perpendicular

  Conclusion: Two lines form right angles

Multiple Select

2. If x + 20 = 32, then x = 12.

• Hypothesis: x = 12

  Conclusion: x + 20 = 32

• Hypothesis: x + 20 = 32

  Conclusion: x = 12

Multiple Select

3. If you are a third-year high school student, then you are a junior high school student.

• Hypothesis: You are a junior high school student

  Conclusion: You are a third-year high school student

• Hypothesis: You are a third-year high school student

  Conclusion: You are a junior high school student

Multiple Select

4. If an angle measures  $20^0$ , then it is acute.

• Hypothesis:  An angle measures  $20^0$ 
  Conclusion: It is acute
  

• Hypothesis: It is acute. 
  Conclusion:  An angle measures  $20^0$ 

Multiple Select

5. If a figure is a square, then it is quadrilateral.

• Hypothesis: It is quadrilateral

  Conclusion: A figure is a square

• Hypothesis: A figure is a square

  Conclusion: It is quadrilateral

Directions: Evaluate the following statements. Use the truth table.

Multiple Choice

1. If a shape is a triangle, then it is a polygon.

• T - T - T

• T - F - F

• F - T - T

• F - F - T

Multiple Choice

2. If the measure of the acute angle is  $30^0$ , then fish can walk.

• T - T - T

• T - F - F

• F - T - T

• F - F - T

Multiple Choice

3. If a number is even, then it is divisible by 2.

• T - T - T

• T - F - F

• F - T - T

• F - F - T

Multiple Choice

4. If 148 is divisible by 8, then 148 is also divisible by 6.

• T - T - T

• T - F - F

• F - T - T

• F - F - T

Multiple Choice

5. If a polygon has eight sides, then it is an octagon.

• T - T - T

• T - F - F

• F - T - T

• F - F - T