Statements:\nI) A regular polygon has equal sides and equal angles.\nII) A square is a regular polygon.\nConclusions:\nI) A square has equal sides.\nII) A square has equal angles.

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:

  • All regular polygons: equal sides & equal angles.
  • Square is a regular polygon.


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.

More Questions from Statement and Conclusion

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