Abstract Relationship Rule
Abstract Relationship Rule problems involve non-geometric relationships between figures. For example, the number of corners in the first figure may determine the number of shapes in the second figure. These problems test conceptual and numerical reasoning.
What You'll Learn
Introduction to Abstract Relationship Rule
Abstract Relationship Rule problems involve non-geometric relationships between figures. For example, the number of corners in the first figure may determine the number of shapes in the second figure. These problems test conceptual and numerical reasoning.
Prerequisites
How to Solve Abstract Relationship Rule Problems
Step 1: Identify measurable properties of the first figure (corners, sides, intersections, enclosed areas)
Step 2: Identify measurable properties of the second figure (count of elements, shading amount, etc.)
Step 3: Look for a numerical relationship between properties
Step 4: Formulate the rule (e.g., corners in Figure 1 = count of circles in Figure 2)
Step 5: Verify the rule on all given pairs
Step 6: Apply the rule to the new pair to find the missing figure
Step 7: Create or select the figure that satisfies the rule
Example Problem
Example: Pair 1: Triangle (3 corners) → 3 circles. Pair 2: Square (4 corners) → 4 circles. What comes after Pentagon (5 corners)? Solution: Step 1: Triangle has 3 corners Step 2: Second figure has 3 circles Step 3: Square has 4 corners, second has 4 circles Step 4: Rule: number of circles = number of corners in first figure Step 5: Pentagon has 5 corners → 5 circles Answer: 5 circles
Pro Tips & Tricks
- Common properties: corners, sides, intersections, enclosed regions, lines, curves
- The relationship may be: count1 = count2, count1 = 2×count2, count1 + count2 = constant
- Sometimes the relationship involves the shape name (triangle → 3, square → 4)
- The relationship may be positional (top-left corner maps to something)
- Some relationships are conceptual (arrow → direction, clock → time)
- The abstract rule may involve symmetry, parity, or other logical properties
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Abstract Relationship Rule. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Abstract Relationship Rule is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Abstract Relationship Rule?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: