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Polygon Properties and Symmetry

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Polygon Properties and Symmetry

Nathan and Anahera are making signs for their farmers’ market stalls. Help them spot polygons, describe their properties and find lines of symmetry. A polygon is a closed, flat shape made only from straight sides. Answer each question; for drawing tasks, make your shapes clear.

Spot the polygons

Use the definition: a polygon is closed and has only straight sides.

1.Which set contains only polygons?

Triangle, square, pentagon
Circle, rectangle, hexagon
Oval, circle, triangle

2.Nikau draws a shape with 6 straight sides that join to make a closed shape. What is the shape called?

3.Complete the facts: A pentagon has sides and vertices. A quadrilateral has sides and vertices.

Describe and sort shapes

Use side lengths and corners to explain how shapes are alike or different.

4.Match each shape name to its description.

Square
Rectangle
Equilateral triangle

3 equal sides
4 equal sides and 4 right-angle corners
Opposite sides equal; 4 right-angle corners

5.Anahera says, “Every square is a rectangle, but not every rectangle is a square.” Is she correct? Explain using side lengths or angles.

6.True or false: A polygon can have a curved side if all its other sides are straight.

TrueFalse

Find symmetry

A line of symmetry splits a shape into two matching halves. Imagine folding along the line: the halves should fit exactly.

7.How many lines of symmetry does a square have? Choose the best answer.

8.First draw a square and a rectangle. Then draw one line of symmetry on each shape.

9.A rectangle is 6 cm long and 3 cm wide. Does it have a line of symmetry through its centre from top to bottom? Explain.

10.Which shape usually has more lines of symmetry: an equilateral triangle or a square? State the number for each.

Make a market sign

Use what you know to design and explain a sign for one of the stalls.

11.Design a simple sign using at least two different polygons. Draw the sign, name each polygon, and mark one line of symmetry on any shape that has one.

12.Nathan wants a sign shape with exactly 4 sides and 4 vertices. Name one shape he could use and give one property of that shape.