Homework Answers 1. 2. 3. 4. 5. 6.
360; 360 8. 540; 360 720; 360 1080; 360 1440; 360 (n-2)180; 360
# sides
9
Each 40 exterio r Angle
15
30
60
45
24
180
24
12
6
8
15
2
Each 140 156 168 174 172 165 178 Interior Angle
9. 135 10. 140 11. 120
§ 3.6 Inductive Reasoning Objective – Compare and contract deductive and inductive reasoning.
Deductive Reasoning Conclusion based on accepted statements Definition, postulate, theorem, corollary, given info
Conclusion true if hypothesis is true
Always True
Inductive Reasoning Conclusion based on several past
observations
Conclusion probably true if hypothesis is
true
Not Always True
Marigold Example Inductive or Deductive? Why?
Triangle Example Inductive or deductive? Why?
Patterns
3, 6, 12, 24, ___
11, 15, 19, 23, ___
5, 6, 8, 11, 15, ___
Example 3 ď Ź
AB is longer than BC and BC is longer than CD. What can you conclude?
ď Ź 12 is bigger than some integer x.
x is greater than 8. What can you conclude?
Homework
Page 104 #1-15 (omit 7)
Pages 107-108 #2-16 even