Difficulty: Easy
Correct Answer: Conclusions I and II both follow.
Explanation:
Introduction / Context:
This is a direct syllogism using class membership and inherited properties: square ∈ regular polygons; regular polygons have equal sides and equal angles.
Given Data / Assumptions:
Concept / Approach:
Properties of a class apply to its members. Therefore, any square inherits the defining properties of a regular polygon.
Step-by-Step Solution:
1) From I: Regular polygon → equal sides and equal angles.2) From II: Square → regular polygon.3) Therefore: Square → equal sides (Conclusion I) and equal angles (Conclusion II).
Verification / Alternative check:
Independent geometric knowledge corroborates the same; but the logical chain alone suffices.
Why Other Options Are Wrong:
Choosing only one conclusion arbitrarily discards the other inherited property; “neither” contradicts the explicit inheritance.
Common Pitfalls:
Overthinking or introducing exceptions that do not exist in the definition of “regular.”
Final Answer:
Both Conclusions I and II follow.
Discussion & Comments