Geometry

Question Analysis:
This question involves identifying a valid deductive argument.
The main focus is on recognizing the structure of a valid deductive argument, which requires the conclusion to be logically certain based on the premises.

Key Concept Explanation:
A valid deductive argument follows the structure:
If P, then Q. (General rule)
P is true. (Specific case)
Therefore, Q is true. (Conclusion)
The conclusion must be logically certain if the premises are true.

Step-by-Step Solution:
Analyze each option to determine if it follows the structure of a valid deductive argument:
A) This is a valid deductive argument because:
Premise 1: If a shape is a square, then it is a rectangle. (General rule)
Premise 2: A given shape is a square. (Specific case)
Conclusion: Therefore, it is a rectangle. (Logically certain)
B) This is invalid because it uses inductive reasoning.
It starts with a specific observation (many triangles have one right angle) and generalizes to a conclusion (all triangles must have one right angle), which is not logically certain.
C) This is invalid because the first premise is false.
Not every parallelogram has four congruent sides (only rhombuses and squares do). ...