Geometry

Question Analysis:
This question involves identifying an example of deductive reasoning based on a given conditional statement.
The main focus is on recognizing the structure of deductive reasoning.

Key Concept Explanation:
Deductive Reasoning starts with a general rule (premise) and applies it to a specific case to reach a logically certain conclusion.
The given premise is: "If a quadrilateral is a rectangle, then it has four right angles."

Step-by-Step Solution:
Analyze each option to see if it follows the structure of deductive reasoning:
A) This is inductive reasoning because it starts with a specific observation (a figure has four right angles) and generalizes to a conclusion (it must be a rectangle).
This is not logically certain because other shapes (e.g., squares) also have four right angles.
B) This is deductive reasoning because it starts with the general rule (a rectangle has four right angles) and applies it to a specific case (a given quadrilateral is a rectangle) to reach a certain conclusion (it must have four right angles).
C) This is inductive reasoning because it starts with specific observations (many rectangles have equal diagonals) and generalizes to a conclusion (all rectangles...