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Exploring Polygons Worksheet
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Exploring Polygons Worksheet
Help Aisha and Harry plan the village fete. Answer each question and show your working where needed. A polygon is a closed, flat shape made only from straight line segments.
Spot and classify polygons
1.Aisha is checking shapes for the fete signs. Which shape is not a polygon: a regular hexagon, a circle, a concave quadrilateral or a pentagon?
- Regular hexagon
- Circle
- Concave quadrilateral
- Pentagon
2.Harry says a regular polygon has all its sides the same length. What other property must it have?
3.A sign has 8 straight sides. What is the correct name for this polygon?
4.True or false? A closed shape made from four straight sides is a polygon, even if one of its interior angles is greater than 180°.
TrueFalse
Work with interior angles
For a polygon with n sides, the sum of its interior angles is (n − 2) × 180°.
5.The fete’s six-sided prize badge is a hexagon. Calculate the sum of its interior angles.
6.A regular pentagonal sign has five equal interior angles. Calculate the size of each angle.
7.A polygon-shaped stall banner has an interior-angle sum of 1,080°. How many sides does the banner have? Show how you know.
8.A regular hexagonal table-top sign has six equal interior angles. How many degrees is each angle?
- 60°
- 120°
- 720°
- 135°
Explain and design
9.Aisha claims that a polygon cannot have an interior-angle sum of 1,000°. Explain why she is right.
10.Design a regular hexagon for Harry’s fete badge. Draw a closed six-sided shape, then mark one pair of equal sides and one pair of equal interior angles.
2 printable pages
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