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Introduction to Polygons

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Introduction to Polygons

Help plan a mini park by investigating polygon shapes. A polygon is a closed, flat shape made only from straight line segments. Its corners are called vertices. Answer each question and show your thinking where needed.

Spot the polygons

Check each shape that is a polygon. A shape must be closed and have only straight sides.

1.Which of these are polygons? Select all that apply.
  • A closed triangle
  • A circle
  • A closed shape with 5 straight sides
  • An open shape made from 4 straight sides
  • A closed square
2.Complete the rule: A polygon is a , closed shape made from sides.

Name and describe

Use the number of sides to identify each polygon. A vertex is a corner where two sides meet.

3.Match each polygon name to its number of sides.
  • Triangle
  • Quadrilateral
  • Pentagon
  • Hexagon
  • Octagon
  • 8 sides
  • 6 sides
  • 5 sides
  • 3 sides
  • 4 sides
4.A polygon has 7 sides. How many vertices does it have, and what is this polygon called?
5.True or false? Every quadrilateral has exactly 4 sides and 4 vertices.
TrueFalse
6.A regular polygon has all sides the same length and all angles the same size. Which statement describes a regular pentagon?
  • It has 5 equal sides and 5 equal angles.
  • It has 5 sides, but they must all be different lengths.
  • It has 5 curved sides.
  • It has 5 vertices but no sides.
7.Sketch a regular triangle and an irregular quadrilateral. Label each drawing. In the irregular quadrilateral, make at least two sides different lengths.

Perimeter in the park

Perimeter is the distance around the outside of a shape. Add the lengths of all its sides.

8.A regular triangle has side lengths of 4 cm each. Calculate its perimeter.
9.A regular pentagonal garden bed has sides of 3 m each. What is its perimeter?
10.The park’s square sandpit has a side length of 6 m. What is its perimeter? Show a calculation.
11.A rectangular planting area is 8 m long and 5 m wide. Find its perimeter. Explain how you worked it out.
12.Design a closed polygon for a park sign with exactly 6 sides. Draw it, mark each vertex, and write its name. The sides do not need to be equal.

3 printable pages

  • Introduction to Polygons, page 1 of 3: Spot the polygons, Name and describe

    Page 1

  • Introduction to Polygons, page 2 of 3: Perimeter in the park

    Page 2

  • Introduction to Polygons, page 3 of 3: 10. The park’s square sandpit has a side length of 6 m. What is its perimeter? Show a…

    Page 3

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