
IF-THEN STATEMENT
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
+12
Standards-aligned
Rica Guillero
Used 88+ times
FREE Resource
9 Slides • 15 Questions
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Determining the Relationship Between the Hypothesis and the Conclusion of an If-then Statement
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Find my Match!
Directions: Match each input with its corresponding output.
3
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.
4
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.
5
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.
6
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.
7
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.
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Conditional Statement or
If-then Statement
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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.
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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.
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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.
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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.
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Directions: Identify the hypothesis and conclusion of each of the following
statements.
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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
15
Multiple Select
2. If x + 20 = 32, then x = 12.
Hypothesis: x = 12
Conclusion: x + 20 = 32
Hypothesis: x + 20 = 32
Conclusion: x = 12
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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
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Multiple Select
4. If an angle measures 200 , then it is acute.
Hypothesis: An angle measures 200
Conclusion: It is acute
Hypothesis: It is acute.
Conclusion: An angle measures 200
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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
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Directions: Evaluate the following statements. Use the truth table.
20
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
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Multiple Choice
2. If the measure of the acute angle is 300 , then fish can walk.
T - T - T
T - F - F
F - T - T
F - F - T
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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
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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
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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
Determining the Relationship Between the Hypothesis and the Conclusion of an If-then Statement
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