Geometry

Question Analysis:
This question involves identifying an argument that correctly applies 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 (every triangle measured so far) and generalizes to a conclusion (the sum of all triangles’ angles must be 180°).
This is not logically certain because it is based on limited observations.

B) This is deductive reasoning because:
Premise 1: If a quadrilateral is a rectangle, then its diagonals are congruent. (General rule)
Premise 2: Quadrilateral ABCD is a rectangle. (Specific case)
Conclusion: Therefore, its diagonals are congruent. (Logically certain)

C) This is inductive reasoning because it starts with specific observations (all students in a math class...