New
New
Year 4

Investigate lines of symmetry in 2D shapes by folding

I can use folding to investigate lines of symmetry in different 2D shapes.

New
New
Year 4

Investigate lines of symmetry in 2D shapes by folding

I can use folding to investigate lines of symmetry in different 2D shapes.

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Lesson details

Key learning points

  1. When you fold a shape on a line of symmetry, the two halves will match exactly.
  2. A line of symmetry is not always horizontal or vertical.
  3. Some quadrilaterals, such as a parallelogram, have no lines of symmetry.
  4. Others, such as a kite, have one line of symmetry. Others, such as a rectangle, can have more than one line of symmetry.

Keywords

  • Kite - A quadrilateral with two pairs of adjacent, equal sides.

  • Line of symmetry - If you were to fold a shape on its line of symmetry, both halves would match exactly.

Common misconception

Children may not recognise a line of symmetry when it is neither horizontal nor vertical.

Allow opportunities for exploring lines of symmetry practically by folding cut outs of lots of different shapes. Encourage children to view and describe these in different orientations to help them see that a line of symmetry can be in any direction.

This lesson explores the properties of a kite and how some kites could be described using other shape names. Ensure children are confident with this concept already, for example knowing that some rectangles can also be described as squares.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Complete the sentence. This quadrilateral has pair(s) of parallel sides.
An image in a quiz
Correct Answer: 1
Q2.
Which statements are true for all polygons?
Correct answer: They have three or more straight sides.
Correct answer: They are 2D shapes.
They are 3D shapes.
Correct answer: They have sides that join at vertices.
Q3.
Match the polygon with the number of vertices that it has.
Correct Answer:triangle,3

3

Correct Answer:quadrilateral,4

4

Correct Answer:pentagon,5

5

Correct Answer:hexagon,6

6

Correct Answer:octagon,8

8

Q4.
How many lines of symmetry does this shape have?
An image in a quiz
Correct answer: 2
1
0
Q5.
Which of these statements are true for all rectangles?
Correct answer: They have four right angles.
They have only one line of symmetry.
Correct answer: They have four sides.
They have four sides the same length.
Q6.
How many vertices do all quadrilaterals have? vertices
Correct Answer: 4

6 Questions

Q1.
A __________ is a quadrilateral with two pairs of adjacent, equal sides.
trapezium
Correct answer: kite
parallelogram
Q2.
A kite has two pairs of sides that are equal in length. These pairs are adjacent sides. What does adjacent mean?
opposite
Correct answer: next to
join at right angles
Q3.
Which of these quadrilaterals are also kites?
An image in a quiz
Correct answer: a
b
Correct answer: c
Correct answer: d
Q4.
True or false. A kite can also be a rhombus or a square.
An image in a quiz
Correct answer: True
False
Q5.
Which of these shapes has four lines of symmetry?
Correct answer: square
rectangle
Q6.
Which shape has been incorrectly sorted?
An image in a quiz
a
Correct answer: b
c
d

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