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Section 2.4: Deductive Reasoning
Law of Detachment
Example #1: If a student gets an A on a final exam,
then the student will pass the course.
Felicia got an A on her history final exam….
What can you conclude?
Example #2: If two angles are adjacent, then they
share a common vertex.
Angle 1 is adjacent to Angle 2…
What can you conclude?
Example #3: If a figure is a square, then its sides have
equal length.
Figure ABCD has sides of equal length…
What can you conclude?
Law of Syllogism
Example #1:
If a figure is a square, then the figure is a rectangle.
If a figure is a rectangle, then the figure has four sides.
What can you conclude?
Example #2:
If you do gymnastics then you are flexible.
If you do ballet, then you are flexible.
What can you conclude?
Example #3:
If a whole number ends in 0, then it is divisible by 10.
If a whole number is divisible by 10, then it is divisible
by 5.
What can you conclude?
HW: pg. 117-120 #6-17, 19-23 odd, 30, 31
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