Shape and SpaceP6 level21 questions in the full course

Lines of SymmetrySEAG Practice Questions

Identifying lines of symmetry in 2D shapes and completing symmetrical figures.

Where your child meets this in real life: Recognising symmetry in logos, flags, butterflies, and architectural designs

What your child needs to know

In the SEAG test

Each SEAG paper has 28 maths questions. Questions 29 to 50 are multiple choice with five possible answers, and questions 51 to 56 need a short written answer. With 56 questions in 60 minutes across English and maths, that is about a minute per question.

SEAGReady breaks lines of symmetry into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Identifying Single Lines

    Identify a vertical or horizontal line of symmetry in common 2D shapes

  2. 2

    Multiple and Diagonal Lines

    Find all lines of symmetry in shapes including diagonal lines

  3. 3

    Completing Symmetrical Figures

    Complete a shape by drawing its reflection across a given mirror line

Try these SEAG-style questions

Try three free questions from our lines of symmetry course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.

Question 1Confidence builder

Sean is designing a badge for his scout group. He draws an isosceles triangle. Does the isosceles triangle have a line of symmetry?

A non-equilateral isosceles triangle with its two equal sloping sides marked.
Answer choices for question 1
Question 2Standard

Abigail looks at a rectangle that is not a square (the sides are different lengths). How many lines of symmetry does this rectangle have?

A non-square rectangle drawn noticeably wider than it is tall.
Answer choices for question 2
Question 3Stretch

Grace is completing a symmetrical star shape. The vertical mirror line is at x = 5. One point is at (1, 4) and another point is at (3, 7). After reflecting both points, what is the total of all four x-coordinates (original and reflected)?

Coordinate grid showing A(1, 4) and B(3, 7) to the left of the mirror line x = 5.
Answer choices for question 3

Try the lesson: Identifying Single Lines

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

An isosceles triangle is shown.

Does this isosceles triangle have a line of symmetry? If so, where is it?

Understand what symmetry means
1

A line of symmetry divides a shape into two halves that match exactly when folded

Step 1 of 3

Prefer to read? See every step written out

An isosceles triangle is shown.

Does this isosceles triangle have a line of symmetry? If so, where is it?

  1. 1

    Understand what symmetry means

    • A line of symmetry divides a shape into two halves that match exactly when folded
  2. 2

    Find the mirror line

    • The dashed vertical line passes through the top vertex and the midpoint of the base
    • The two halves match across this line, so it is the triangle's one line of symmetry

The isosceles triangle has one line of symmetry running from the top vertex straight down to the middle of the base.

The key insight: The folding test always works - if both halves match when folded, it is a line of symmetry!

Common mix-up: Drawing a horizontal line through the middle. A horizontal line would not create matching halves - the top and bottom of the triangle are different shapes.

Mistakes to watch for

These are the misconceptions we see most often in lines of symmetry, including the ones our practice questions are specifically designed to catch.

  • Drawing lines through the middle that aren't lines of symmetry
  • Missing diagonal lines of symmetry in squares
  • Thinking all shapes have at least one line of symmetry

Build these skills first

Struggling with lines of symmetry? The real gap is often in one of these earlier topics.

More shape and space practice

Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.

21 questions on this topic alone

Master lines of symmetry and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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