Geometry

Question Analysis:
This question involves identifying an example of deductive reasoning.
The main focus is on recognizing the structure of deductive reasoning, which starts with a general rule and applies it to a specific case to reach a logically certain conclusion.

Key Concept Explanation:
Deductive Reasoning: Starts with a general rule (premise) and applies it to a specific case to reach a logically certain conclusion.
Inductive Reasoning: Starts with specific observations and makes a generalization that is probable but not certain.

Step-by-Step Solution:
Analyze each option to determine if it represents deductive or inductive reasoning:
A) This is inductive reasoning because it starts with specific observations (several right triangles) and generalizes to a conclusion (all right triangles have a hypotenuse longer than their legs).
This is not logically certain because it is based on limited observations.
B) This is deductive reasoning because:
Premise 1: All squares are rectangles. (General rule)
Premise 2: A given shape is a square. (Specific case)
Conclusion: Therefore, it must be a rectangle. (Logically certain)
C) This is inductive reasoning because it starts with specific observations (five quadrilaterals) and generalize...