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