Size Scaling Analogy
Size Scaling Figure Analogy problems involve figures that are enlarged or reduced by a specific scale factor. You must identify the scaling factor and apply it to a new figure. These problems test your understanding of proportional size changes and your ability to identify scale factors from visual comparison.
What You'll Learn
Introduction to Size Scaling Analogy
Size Scaling Figure Analogy problems involve figures that are enlarged or reduced by a specific scale factor. You must identify the scaling factor and apply it to a new figure. These problems test your understanding of proportional size changes and your ability to identify scale factors from visual comparison.
Prerequisites
How to Solve Size Scaling Analogy Problems
Step 1: Compare Figure A and Figure B to determine the scaling factor
Step 2: Calculate the ratio: size of Figure B ÷ size of Figure A
Step 3: The scaling factor may be whole number (enlargement) or fraction (reduction)
Step 4: Apply the same scaling factor to Figure C
Step 5: Ensure the shape remains the same (only size changes)
Step 6: The correct answer is the figure with same shape but scaled size
Step 7: Verify proportions are preserved
Example Problem
Example: Figure A is a small circle. Figure B is a larger circle (2× size). Figure C is a small square. What should Figure ? look like? Solution: Step 1: A (small circle) → B (large circle) has scale factor 2× Step 2: Figure C is a small square Step 3: Apply scale factor 2×: small square becomes larger square Step 4: The answer is a larger square (same shape, double size) Answer: Larger square
Pro Tips & Tricks
- Scale factor = size of B ÷ size of A
- If B is larger than A → enlargement (scale factor > 1)
- If B is smaller than A → reduction (scale factor < 1)
- All dimensions scale proportionally (length, width, height)
- Area scales by (scale factor)², but focus on linear dimensions
- Common scale factors: 2×, 3×, 4×, ½, ⅓, ¼
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Size Scaling Analogy. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Size Scaling Analogy is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Size Scaling Analogy?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: