Which one of the following figures is different from the other three given…
2016
Which one of the following figures is different from the other three given figures?
Attempted by 174 students.
Show answer & explanation
Concept
In an odd-one-out figure task, three of the four figures share one common structural rule, while the fourth breaks it. The method is to identify the single property that the majority obey (here: how the internal lines are arranged and whether the figure is divided into equal symmetric parts), then find the figure that violates that property.
Applying it to these figures
Examine where the internal straight lines of each figure meet and whether the resulting pieces are equal:
The square crossed by both diagonals and both mid-lines: all eight line-segments pass through the single centre point, so the square is cut into eight equal symmetric pieces.
The circle split by diameters: all the dividing lines pass through the centre, giving eight equal sectors.
The square crossed by its diagonals and mid-lines forming the eight-segment pattern: again every line runs through the one central point, producing equal symmetric parts.
The rectangle filled with triangles: its internal lines meet at several different points rather than at one common centre, and the regions it creates are unequal in size and shape.
Cross-check
Apply the shared rule as a test: 'do all internal lines pass through one centre, giving equal parts?'. Three figures pass this test; only the rectangle-with-triangles fails it on both counts (no single common intersection point, unequal regions). Hence that figure is the one that is different.