Geometric Operation Analogy
Geometric Operation Figure Analogy problems involve figures that combine shapes using set operations like union (combination) or intersection (overlap). You must identify the operation and apply it to new shapes. These problems test your understanding of geometric set logic and shape combination rules.
What You'll Learn
Introduction to Geometric Operation Analogy
Geometric Operation Figure Analogy problems involve figures that combine shapes using set operations like union (combination) or intersection (overlap). You must identify the operation and apply it to new shapes. These problems test your understanding of geometric set logic and shape combination rules.
Prerequisites
How to Solve Geometric Operation Analogy Problems
Step 1: Identify the shapes in Figure A and the operation symbol
Step 2: Identify the result in Figure B (union or intersection)
Step 3: Determine if the operation is union (combined region) or intersection (overlap only)
Step 4: Identify the shapes in Figure C
Step 5: Apply the same operation to Figure C's shapes
Step 6: Visualize how the shapes combine
Step 7: The correct answer shows the result of the operation
Example Problem
Example: Figure A shows circle + square (union). Figure B shows combined shape (union). Figure C shows hexagon + trapezoid (union). What should Figure ? look like? Solution: Step 1: A: circle and square with + symbol (union) Step 2: B: combined region (union result) Step 3: Operation = union (all area covered by either shape) Step 4: C: hexagon and trapezoid with + symbol Step 5: Apply union: combined region of hexagon and trapezoid Step 6: Answer: Single merged region containing both shapes Answer: Combined shape (hexagon ∪ trapezoid)
Pro Tips & Tricks
- Union (+) combines shapes → result covers all area from both
- Intersection (∩) takes only overlapping area
- The operation may be indicated by a symbol (+ for union, ∩ for intersection)
- Shapes may be adjacent (touching) or overlapping
- Union of adjacent shapes = combined perimeter shape
- Intersection of non-overlapping shapes = empty set (no area)
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Geometric Operation Analogy. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Geometric Operation Analogy is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Geometric Operation Analogy?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: