# Inductive & Deductive Reasoning in Geometry Lesson 21

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## 10 Questions

### What type of reasoning uses patterns, trends, and observations to draw a conclusion?

Inductive reasoning

8

### What can be concluded about all drummers who feel pain in their arms after rehearsing for three hours straight?

They are all prone to muscle fatigue

### What is the conclusion drawn from the hypothesis 'Filipinos are religious' and the statement 'Maria is a Filipino'?

Maria is definitely religious

### Which type of reasoning judges by experience and uses patterns, trends, or general observations?

Inductive reasoning

### What type of reasoning takes specific examples to make a general rule?

Inductive reasoning

evidences

### Which type of reasoning takes a general rule and uses it to make a more specific example?

Deductive reasoning

### What type of reasoning involves searching for patterns and making generalizations?

Inductive reasoning

### How is mathematical reasoning defined?

The ability to draw logical conclusions based on evidences or stated assumptions

## Study Notes

### Types of Reasoning

• Inductive reasoning uses patterns, trends, and observations to draw a conclusion
• It involves searching for patterns and making generalizations

### Fibonacci Sequence

• In the Fibonacci sequence, the number that comes after 5 is 8

### Types of Reasoning

• Deductive reasoning takes a general rule and uses it to make a more specific example
• It judges by experience and uses patterns, trends, or general observations

### Mathematical Reasoning

• In mathematics, reasoning is the ability to draw logical conclusions based on given or stated assumptions
• It defined as the ability to draw logical conclusions based on certain assumptions

### Specific Examples

• If a hypothesis is "Filipinos are religious" and the statement is "Maria is a Filipino", then it can be concluded that Maria is religious

Prepare for lesson 21 on inductive and deductive reasoning in mathematics, focusing on differentiating between the two types of reasoning and their uses in arguments. Explore the ability to draw logical conclusions based on evidence or assumptions in mathematics.

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