Which of the following diagrams best indicates the relation between the Sun,…

2024

Which of the following diagrams best indicates the relation between the Sun, the Moon, and the Earth?

Attempted by 9 students.

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Concept: In classification / Venn-diagram reasoning, the diagram must show the actual logical relationship among the three given classes — full containment (one class entirely inside another, shown by concentric circles), partial overlap (shared membership, shown by intersecting circles), two sub-classes both sitting inside one larger class (two separate circles enclosed in a bigger one), or complete separateness (three circles that do not touch at all). The right diagram is the one whose circle arrangement matches how the three items actually relate — not their physical size or position.

Application: The Sun, the Moon, and the Earth are three distinct celestial bodies with no class-membership relationship between them — none is a sub-type of another, and none shares a category with another. So the diagram that fits is the one where all three circles stand completely apart, with no circle touching or overlapping any other — three fully separate circles.

Cross-check: The other diagrams instead depict relationships that do not hold among the Sun, the Moon, and the Earth:

  • Three circles nested one fully inside another (like rings) would show a chain of complete containment — for example, a row boat is a boat, and a boat is a vehicle. There is no such subset chain among the Sun, the Moon, and the Earth.

  • One larger circle overlapping separately with two smaller circles, where the two smaller circles do not touch each other, would show a class that shares some members with two other classes that share nothing between themselves — for example, teacher, doctor, and human. The Sun, the Moon, and the Earth do not share overlapping membership like this.

  • Two separate smaller circles both fully enclosed inside one larger circle would show two distinct sub-classes both contained within one bigger class — for example, cow and goat inside animal. There is no such larger encompassing class among the Sun, the Moon, and the Earth.

Answer: Since the Sun, the Moon, and the Earth are three entirely distinct entities with no containment or overlap between any pair, the diagram with three fully separate, non-touching circles is the correct representation.

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