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Symmetry Lines and Shapes

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Symmetry Lines and Shapes

Help the tournament team check its badge designs. A line of symmetry divides a shape into two matching halves that would fit exactly if folded along the line.

Check the shapes

Use the shape names in Questions 1–3 to answer each question.

1.Talia is choosing a badge shape with exactly four lines of symmetry. Which shape should she choose?

Square
Rectangle
Equilateral triangle
Circle

2.How many lines of symmetry does the equilateral triangle badge have?

3.Isla says the rectangle has four lines of symmetry because it has four sides. Is Isla correct? Explain how many lines of symmetry a non-square rectangle has.

Design and explain

Freya is making a new tournament emblem. Use the visual prompts to investigate symmetry.

4.Draw a square. Then draw one line of symmetry on it and write where your line goes.

5.A circular badge is split into 8 equal wedges. If 3 wedges are shaded, how many wedges are unshaded?

6.Complete the missing half of a badge by drawing the reflected shape on the right side of the vertical mirror line. The left side has one small circle 2 squares above the centre and one small circle 1 square below the centre.

Draw the mirror line and left-side circles described in Question 6. Leave room on the right to complete the reflection.

7.A regular pentagon has five equal sides and five equal angles. How many lines of symmetry does it have?

8.Which statement best describes a line of symmetry?

It divides a shape into two matching halves.
It divides a shape into two different-sized halves.
It must always be vertical.
It is the outside edge of a shape.

9.Freya designs a badge shaped like a regular hexagon. How many lines of symmetry does it have? Name one direction a line of symmetry could go.

10.Create a simple tournament emblem that has exactly one line of symmetry. Draw it and mark its line of symmetry. Briefly explain how you know it has only one.