Geom2.3.notebook
January 19, 2011
Geometry
Ch.2 Notes Page 9
P9 2­3 Deductive Reasoning
Jan 10­3:14 PM
Types of Reasoning
Inductive Reasoning (Review):
Jan 11­3:04 PM
1
Geom2.3.notebook
January 19, 2011
Types of Reasoning
Jan 18­2:53 PM
Jan 11­3:05 PM
2
Geom2.3.notebook
January 19, 2011
Jan 11­3:08 PM
Jan 11­3:08 PM
3
Geom2.3.notebook
January 19, 2011
Law of Detachment
Direct Argument:
p
p
Indirect Argument:
q
p
not q
q
not p
q
Law of Syllogism
Chain Rule:
p
q
Or Rule:
q
r
p
p or q
not p
r
q
Jan 14­10:43 AM
HW #9
2­3 P96 #2­20even,32,40
Please put your name and class period at the top of
the homework. Also include the homework number.
Terms:
Deductive Reasoning, Law of Detachment, Law of Syllogism
Jan 10­3:14 PM
4
Geom2.3.notebook
January 19, 2011
If you gave me $1,000,000, then I would be rich and retire.
You gave me $1,000,000.
What can you conclude?
Jan 14­10:37 AM
If an animal is an insect, then it has exactly six legs.
A spider does not have exactly 6 legs.
If a polygon is square, then it is a rectangle.
If a polygon is a rectangle, then it is a parallelogram.
If a plant is a flower, then its color is white.
A rose is a flower.
Figure ABCD is a trapezoid or figure ABCD is a parallelogram.
Figure ABCD is not a trapezoid.
Jan 14­10:52 AM
5