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Primary Maths · Year 2Chapter 8 · 2-D and 3-D shapes
Year 2 · 2-D and 3-D shapes · Lesson 8.2

Year 2: Vertical lines of symmetry

Part of the Year 2 2-d and 3-d shapes chapter. Chapter overview · whole chapter on one page

8.2

Vertical lines of symmetry

Year 2
Identify line symmetry in a vertical line
A garden on a sunny day.

A shape has a line of symmetry if you can fold it so that the two halves match.

In this chapter we look at a vertical line. It goes straight up and down through the middle.

A square has a vertical line of symmetry. A triangle standing up has one too.

A shape turned on its side may not fold up and down. Then it has no vertical line of symmetry.

The dashed line goes straight up and down. The two halves match.

Key ideas

  • A line of symmetry folds a shape into two matching halves.
  • A vertical line goes straight up and down.
  • Turn a shape round in your head to check the fold.
  • A sideways or slanting line is not a vertical line.
Worked example 8.2.1
Does this rectangle have a vertical line of symmetry? Write Yes or No.

Method. Imagine folding the shape in half, down the middle from top to bottom.

  1. Imagine a vertical fold. The fold line goes straight up and down.
    a straight up-and-down fold
  2. Check the two halves. Folded along a straight up-and-down line, the two halves match exactly.
    Do the two halves match?
  3. Write the answer.
    Yes

Check. Trace one half, then the other. They are the same shape. ✓

Watch out. A vertical line goes straight up and down. A sideways or slanting line does not count here.

Worked example 8.2.2
This triangle is turned on its side. Does it have a vertical line of symmetry? Write Yes or No.

Method. Imagine folding the shape in half, down the middle from top to bottom.

  1. Imagine a vertical fold. The fold line goes straight up and down.
    a straight up-and-down fold
  2. Check the two halves. Folded along a straight up-and-down line, the two halves do not match.
    Do the two halves match?
  3. Write the answer.
    No

Check. The shape is turned, so its line of symmetry slopes or goes sideways. A vertical fold does not match.

Watch out. A vertical line goes straight up and down. A sideways or slanting line does not count here.

Worked example 8.2.3
How many vertical lines of symmetry does this square have?

Method. Look for a straight up-and-down fold line where the two halves match.

  1. Look for a vertical fold line. Draw it straight up and down through the middle.
    one vertical line
  2. Check the fold. The two halves match, so the line is a line of symmetry.
    halves match
  3. Write the answer.
    1

Check. There is only one vertical direction, so only one vertical line can be a line of symmetry. ✓

Watch out. A shape can have other lines of symmetry. Only the up-and-down line counts here.

Watch out

Watch out: a shape can have other lines of symmetry, which slope or go sideways. In this section we only look at the line that goes straight up and down.

Exam tip

Grown-up tip. Cut out a paper shape and fold it in half, straight up and down. If the two halves match, the fold is a vertical line of symmetry. Try the same shape turned on its side.

Exercise 8B  Vertical lines of symmetry

Non-calculator
1
FDoes this square have a vertical line of symmetry? Write Yes or No.
2
FDoes this circle have a vertical line of symmetry? Write Yes or No.
3
FDoes this rectangle have a vertical line of symmetry? Write Yes or No.
4
FDoes this triangle, standing up, have a vertical line of symmetry? Write Yes or No.
5
FDoes this pentagon have a vertical line of symmetry? Write Yes or No.
6
FDoes this hexagon have a vertical line of symmetry? Write Yes or No.
7
FDoes this oval have a vertical line of symmetry? Write Yes or No.
8
PSThe triangle is turned on its side. Does it have a vertical line of symmetry? Write Yes or No.
9
PSThe semicircle is turned on its side. Does it have a vertical line of symmetry? Write Yes or No.
10
PSThe rectangle is tilted. Does it have a vertical line of symmetry? Write Yes or No.
11
PSWhich shapes have a vertical line of symmetry? Write the letters.
ABCD
12
FDoes this diamond have a vertical line of symmetry? Write Yes or No.
13
FHow many vertical lines of symmetry does this rectangle have?
14
RMia says a shape has a vertical line of symmetry only if it is a circle. Is she right? Write Yes or No.

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