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Exploring Polygons
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Exploring Polygons
Use your knowledge of polygons. Show your working for calculations.
Polygon properties and names
1.Which shape is not a polygon?
- A triangle
- A circle
- A pentagon
- A hexagon
2.What is the name of a polygon with eight straight sides?
3.Which two statements must be true of a regular polygon?
- All its sides have equal length.
- All its interior angles are equal.
- It has at least six sides.
- It has one or more curved edges.
4.Match each polygon name to its number of sides.
- Triangle
- Quadrilateral
- Pentagon
- Hexagon
- Heptagon
- Octagon
- 4 sides
- 5 sides
- 8 sides
- 3 sides
- 6 sides
- 7 sides
Interior angle sums
5.Choose the formula for the sum of the interior angles of a polygon with n sides.
- n × 180°
- (n − 2) × 180°
- (n + 2) × 180°
- n × 360°
6.Work out the sum of the interior angles in a pentagon.
7.A polygon has an interior angle sum of 1,080°. How many sides does it have?
8.Find the size of each interior angle in a regular hexagon.
Apply your understanding
9.Draw a polygon with exactly four vertices. Label each vertex and give one reason why your drawing is a polygon.
10.Explain how a regular polygon differs from an irregular polygon. Give one example of each.
11.The interior angles of a polygon add to 1,440°. Identify the polygon by its number of sides. If it is regular, calculate the size of each interior angle.
3 printable pages
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