Deductive Reasoning - Law of Detachment & Syllogism
Authored by Diana Guerrero
Mathematics
9th - 12th Grade
CCSS covered
Used 51+ times
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16 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How would you describe the Law of Detachment symbolically?
if p -> q is true and q is true; then p is true
if p -> q is true and p is true; then q is true
if p -> q and q -> r, then p -> r
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.B.6
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Use the Law of Detachment to determine what you can conclude from the given information, if possible.
If you passed the final, then you pass the class. You passed the final.
You passed the class.
You didn't pass the class
Not possible
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the Law of Detachment to determine what you can conclude from the given information, if possible.
If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.
Your parents let you borrow the car.
Your parents didn't let you borrow the car.
Not possible
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How would you describe the Law of Syllogism symbolically?
if p -> q is true and q is true, then p is true.
if p -> q is true and p is true, then q is true.
if p -> q is true and q -> r is true, then p -> r is true
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.
If a figure is a rhombus, then the figure is a parallelogram. If a figure is a parallelogram, then the figure is a quadrilateral.
If a figure is a rhombus, then the figure is a quadrilateral.
If a figure is a quadrilateral, then the figure is a rhombus.
Not possible
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which law of logic is illustrated by these statements?
If you miss practice the day before a game, then you will not be a starting player in the game.
You miss practice on Tuesday. You will not start the game Wednesday.
Law of Detachment
Law of Syllogism
Speed Limit
None of the above
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which law of logic is illustrated by the following statements?
If <1 and <2 are vertical angles, then <1 is congruent to <2. If <1 is congruent to <2, then m<1 = m<2.
If <1 and <2 are vertical angles, then m<1 = m<2.
Law of Detachment
Law of Syllogism
5th Amendment
Not possible
Tags
CCSS.HSG.CO.C.9
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