Reflection Pattern
Reflection Pattern problems involve sequences where figures are mirrored across a vertical, horizontal, or diagonal axis. You must identify the axis of reflection and predict the next figure in the alternating pattern.
What You'll Learn
Introduction to Reflection Pattern
Reflection Pattern problems involve sequences where figures are mirrored across a vertical, horizontal, or diagonal axis. You must identify the axis of reflection and predict the next figure in the alternating pattern.
Prerequisites
How to Solve Reflection Pattern Problems
Step 1: Compare Figure 1 and Figure 2 - check if one is mirror of the other
Step 2: Identify the axis of reflection (vertical, horizontal, or diagonal)
Step 3: Verify if Figure 2 reflects back to Figure 1 using same axis
Step 4: Check if Figure 3 is the reflection of Figure 2
Step 5: Determine if pattern alternates: original → reflected → original → reflected
Step 6: Apply the pattern to find the next figure
Step 7: Verify by mentally reflecting the last figure across the identified axis
Example Problem
Example: A sequence shows: Square (normal), Square (mirror horizontally), Square (normal). What comes next? Solution: Step 1: Figure 2 is horizontal mirror of Figure 1 Step 2: Figure 3 is same as Figure 1 (original) Step 3: Pattern: Original → Mirror → Original → Mirror Step 4: Next should be mirror of Figure 3 Answer: Square mirrored horizontally
Pro Tips & Tricks
- Vertical reflection: left and right swap places
- Horizontal reflection: top and bottom swap places
- Diagonal reflection : coordinates swap (x,y) → (y,x)
- For letters, know which are symmetric: A, H, I, M, O, T, U, V, W, X, Y
- In alternating patterns, figures at positions 1,3,5,... are identical
- Figures at positions 2,4,6,... are identical (mirrored version)
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Reflection Pattern. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Reflection Pattern is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Reflection Pattern?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: