Deductive Reasoning
Authored by Kristy Tapper
Mathematics
8th - 11th Grade
CCSS covered
Used 1K+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What does deductive reasoning use to form its arguments?
patterns
specific cases
observed examples
facts, definitions, accepted properties, and laws of logic
2.
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
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 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
4.
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.HSS.CP.A.5
5.
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
6.
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 x < -2, the |x| > 2. If x > 2, then |x| > 2.
If x < -2, then x > 2.
If |x| > 2, then x > 2.
Not possible
7.
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
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