Diagonal Movement
Diagonal Movement problems feature figures that move along diagonal paths within a square or rectangular frame. Common patterns include moving from top-left to bottom-right and back, bouncing off corners, or alternating between two diagonal positions. You must track the movement pattern and predict the next position.
What You'll Learn
Introduction to Diagonal Movement
Diagonal Movement problems feature figures that move along diagonal paths within a square or rectangular frame. Common patterns include moving from top-left to bottom-right and back, bouncing off corners, or alternating between two diagonal positions. You must track the movement pattern and predict the next position.
Prerequisites
How to Solve Diagonal Movement Problems
Step 1: Identify the positions (corners or grid cells) on the diagonal path
Step 2: Track the sequence: TL → BR → TL → BR or TL → BR → TR → BL (bouncing)
Step 3: Determine if movement is alternating or bouncing
Step 4: For bouncing, the figure moves to opposite corner, then to other corners
Step 5: Apply the same movement pattern to predict next position
Step 6: Consider if the figure also rotates or changes during movement
Step 7: Select the figure in the predicted position
Example Problem
Example: A circle moves: Top-Left → Bottom-Right → Top-Left → Bottom-Right → ___. Next position? Solution: Step 1: Pattern alternates between TL and BR Step 2: Last position = Bottom-Right Step 3: Next position = Top-Left Answer: Top-left corner
Pro Tips & Tricks
- Main diagonal: Top-Left ↔ Bottom-Right
- Other diagonal: Top-Right ↔ Bottom-Left
- Bouncing pattern: TL → BR → TR → BL → TL (zigzag)
- Alternating pattern: TL → BR → TL → BR (simple back-and-forth)
- The figure may start at any corner
- Movement may be along a diagonal line of grid cells, not just corners
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Diagonal Movement. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Diagonal Movement is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Diagonal Movement?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: