Geometry
Notes
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Using Inductive Reasoning
Example 1
Determine the fourth figure in the pattern and then sketch it.
Example 2
a , ab , abc ,... ______, ____________
Example 3
Here are a couple of tricky patterns. Talk with your partner and see if you can find the next three
items.
1, 1, 2, 3, 5, 8, 13, ____, _____, _____
o, t, t, f, ____, ____, ____
Conjecture –
Inductive reasoning –
Counterexample –
Example 3
Find a counterexample to disprove the following conjectures.
a) All PFHS sophomores take Geometry.
b) The sum of two numbers is always greater than the larger number.
c) The value of x2 is always greater than the value of x.
d) The product of two numbers is always even.
e) The difference of two numbers is always positive.