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Unit 2 More Deductive Reasoning 5b

Authored by Brittany Houghton

Mathematics

10th Grade

CCSS covered

Used 6+ times

Unit 2 More Deductive Reasoning 5b
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20 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

p→q
q→r
∴p→r
Which law is modeled?

Law of Syllogism
Law of Detachment
Law of Contrapositive
Law of Shannon

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

p→q
p
∴q
Which law is modeled?

Law of Syllogism
Law of Detachment
Law of Contrapositive
Law of Shannon

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.

It is not Friday
It is Friday
I will not get paid
I will get paid

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.

Therefore, the polygon is a rectangle.
Therefore, the polygon is a regular quadrilateral.
Therefore, the polygon has exactly five congruent angles.
Therefore, the polygon has congruent sides.

Tags

CCSS.8.G.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3)  The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Law of Detachment
Law of Syllogism
Law of Contrapositive
invalid

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

p→q
q→r
∴p→r
Which law is modeled?

Law of Syllogism
Law of Detachment
Law of Contrapositive
Law of Shannon

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

p→q
p
∴q
Which law is modeled?

Law of Syllogism
Law of Detachment
Law of Contrapositive
Law of Shannon

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