Transcription of Inductive Reasoning Geometry 2 - AGMath.com
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Inductive Reasoning Geometry 2 - AGMath.com
Inductive Reasoning Geometry Inductive Reasoning : Observing Patterns to make generalizations is induction. Example: Every crow I have seen is black, therefore I generalize that all crows are black'. Inferences made by Inductive Reasoning are not necessarily true, but are supported by evidence. Think: How could you use Inductive Reasoning to find Pi (the ratio of a circle's circum- ference to its diameter)? Practice: Use Inductive Reasoning to determine the next two numbers in each sequence: 1. 1, 1, 2, 3, 5, 8, 13, ___, ___, .. 2. 5, 4, 6, 3, 7, 2, ___, ___, .. 1 1 3 2 1. , , , , , _ , _ ,.. 3. 10 5 10 5 2. 4. 1, 2, 2, 4, 8, ___, ___, .. 5. 2, 3, 5, 7, 11, ___, ___, .. 6. 1, 2, 6, 15, 31, 56, ___, ___, .. Induction is very important in Geometry . Often, a pattern in Geometry is rec- ognized before it is fully understood. Today we will use Inductive Reasoning to discover the sum of the measures of interior angles in a pentagon.
Deductive Reasoning Geometry 2.2 Deductive Reasoning is the process of using accepted facts and logic to arrive at a valid conclusion. Example: All mammals have …
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