
2.1 - 2.3 Warm Up Activity
Quiz by Christina Patella
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- Q1
Given: All fish live in the water.Salmon is a fish.
Conclusion: Salmon lives in the water.
No Conclusion
Law of Detachment
Law of Syllogism
30s - Q2
Given: If an angle is acute, then it is not obtuse.
∠ABC is acute.
Conclusion: ∠ABC is not obtuse.
Law of Detachment
Law of Syllogism
Not Valid
30s - Q3
Given: If a rectangle has side length of 3 cm and 2 cm, then it has an are of 6 cm. Rectangle ABCD has side lengths 3 cm and 2 cm.
Conclusion: Rectangle ABCD has an area of 6 cm.
Law of Detachment
Law of Syllogism
Not Valid
30s - Q4
Given: If 3 points are on the same line, then they are collinear. Points A, B, and C are on the same line.
Conclusion: A, B, and C are collinear.
Law of Detachment
No Conclusion
Law of Syllogism
30s - Q5
Given: If you live in Tulsa, then you live in Oklahoma. If you live in Oklahoma, then you live in the US.
Conclusion: If you live in Tulsa, then you live in the US.
Not Valid
Law of Syllogism
Law of Detachment
30s - Q6
How does statement 1 change to get statement 2?
1) If two angles are supplementary, then they form a linear pair.
2) If two angles form a linear pair, then they are supplementary.
Inverse
Conditional
Converse
Contrapositive
30s - Q7
How does statement 1 change to get statement 2?
1) If two angles are supplementary, then they form a linear pair.
2) If two angles do not form a linear pair, then they are not supplementary.
Converse
Conditional
Contrapositive
Inverse
30s - Q8
Which statement is a counterexample for the following conditional? If you live in Springfield, then you live in Illinois.
Jonah Lincoln lives in Springfield, Illinois
Sara Lucas lives in Springfield.
Erin Naismith lives in Springfield, Massachusetts.
Billy Jones lives in Chicago, Illinois.
30s - Q9
Identify the hypothesis and conclusion of the conditional statement. If it is raining then it is cloudy.
Hypothesis: It is cloudy.
Conclusion: It is raining
Hypothesis: Clouds make rain.
Conclusion: Rain does not make clouds.
Hypothesis: Rain and clouds happen together.
Conclusion: Rain and clouds do not happen together.
Hypothesis: It is raining.
Conclusion: It is cloudy.
30s