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Polygon Properties and Classification
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Polygon Properties and Classification
Solve each challenge. Show your working for calculations. A polygon is a closed 2D shape made only from straight line segments.
Polygon detectives
Help plan a set of geometric signs by identifying and classifying polygons.
1.Consider a shape made from three straight line segments joined end to end, with the two ends not joined. Which polygon rule does this shape break?
2.Match each polygon name to its number of sides.
- Pentagon
- Hexagon
- Octagon
- Decagon
- 10 sides
- 5 sides
- 6 sides
- 8 sides
3.A designer proposes a closed shape with 4 straight sides. Which statement must be true?
- It is a quadrilateral.
- It is always a square.
- It must have four equal sides.
- It cannot be a polygon.
4.True or false? Every regular polygon has equal side lengths and equal interior angles.
TrueFalse
Angle investigations
Use the interior-angle sum rule: for an n-sided polygon, the sum is (n − 2) × 180°.
5.Calculate the sum of the interior angles in a hexagon. Show the calculation.
6.A polygon’s interior angles add to 1,080°. How many sides does it have? Show how you know.
7.A regular pentagon has five equal interior angles. Find the size of each angle.
8.Can a regular polygon have an interior-angle sum of 360°? Give its name and explain.
Design a sign
Use polygon properties to create and check a design.
9.Draw an irregular pentagon for a warning sign. Mark one pair of sides that are not equal, then name two properties every polygon must have.
10.A regular polygon has 9 sides. What is its name, and what is the sum of its interior angles?
3 printable pages
Page 1
Page 2
Page 3
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