Polygon Sides Property
Polygon Sides Property problems present five polygons where four have an even number of sides (4,6,8) and one has an odd number of sides (3,5,7), or vice versa. You must identify which polygon has a different side count parity. These problems test knowledge of polygon properties and parity classification.
What You'll Learn
Introduction to Polygon Sides Property
Polygon Sides Property problems present five polygons where four have an even number of sides (4,6,8) and one has an odd number of sides (3,5,7), or vice versa. You must identify which polygon has a different side count parity. These problems test knowledge of polygon properties and parity classification.
Prerequisites
How to Solve Polygon Sides Property Problems
Step 1: Count the number of sides for each polygon
Step 2: Classify each count as even or odd
Step 3: Determine which parity appears most frequently
Step 4: The figure with the opposite parity is the odd one out
Step 5: Verify that all other figures share the same parity
Example Problem
Example: Four polygons with even sides (4,4,6,6) and one with odd sides (5). Which is odd? Solution: Step 1: Sides: 4(even),4(even),6(even),6(even),5(odd) Step 2: Most common = even Step 3: Pentagon (5 sides) is different Answer: The pentagon is the odd one out
Pro Tips & Tricks
- Triangle = 3 sides (odd)
- Quadrilateral = 4 sides (even)
- Pentagon = 5 sides (odd)
- Hexagon = 6 sides (even)
- Heptagon = 7 sides (odd)
- Octagon = 8 sides (even)
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Polygon Sides Property. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Polygon Sides Property is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Polygon Sides Property?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: