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Maths Gcse Aqa Higher

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  1. Scatter-Graphs-And-Correlation Aqa Higher
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  2. Cumulative-Frequency-And-Box-Plots Aqa Higher
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  3. Histograms Aqa Higher
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  4. Statistical-Diagrams Aqa Higher
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  10. Vectors Aqa Higher
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  11. 3D-Pythagoras-And-Trigonometry Aqa Higher
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  12. Sine-Cosine-Rule-And-Area-Of-Triangles Aqa Higher
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  13. Pythagoras-And-Trigonometry Aqa Higher
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  14. Area-And-Volume-Of-Similar-Shapes Aqa Higher
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  16. Volume-And-Surface-Area Aqa Higher
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  22. Symmetry-And-Shapes Aqa Higher
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  32. Real-Life-Graphs Aqa Higher
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  35. Functions Aqa Higher
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  36. Forming-And-Solving-Equations Aqa Higher
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  37. Graphs-Of-Functions Aqa Higher
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  38. Linear-Graphs Aqa Higher
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  44. Algebraic-Proof Aqa Higher
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  55. Introduction Aqa Higher
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Exam code:8300

Lines of symmetry

What is line symmetry?

  • Line symmetry refers to shapes that can have mirror lines added to them

    • Each side of the line of symmetry is a reflection of the other side

  • Lines of symmetry can be thought of as a folding line too

    • Folding a shape along a line of symmetry results in the two parts sitting exactly on top of each other

Lines of symmetry in isosceles triangles, squares, and rectangles

  • It can help to look at shapes from different angles; turn the page to do this

rotating a shape to see lines of symmetry

  • Some questions will provide a portion of a shape and a line of symmetry, and you need to fill in the remaining half of the shape

  • Be careful with diagonal lines of symmetry

    • Use tracing paper to trace the shape and then flip along the line of symmetry

  • “Two–way” reflections (like part c below) occur if the line of symmetry passes through the shape

Examples of reflecting in a line of symmetry
Examples of reflecting in a line of symmetry
Symm Notes fig1, downloadable IGCSE & GCSE Maths revision notes

Examiner Tips and Tricks

  • It can help to add the lines of symmetry to a diagram if one is given in a question

  • You should be provided with tracing paper in the exam, use this to help you

    • You can request it if you are not given it at the start

Worked Example

Consider the shape below.

Symmetry worked example question

(a) Write down the number of lines of symmetry.

 The only line of symmetry is shown below

Symmetry worked example solution a

There is 1 line of symmetry. 

(b) Shade exactly 4 more squares so that the shape has 4 lines of symmetry.

The shape below has a horizontal, a vertical, and 2 diagonal lines of symmetry

Symmetry worked example solution b

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