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Line symmetry Questions and Answers

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Question 19 - Eltham Collge 11 Plus Maths Entrance Test 2020

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Question 32 - Dulwich College 11 Plus Entrance _ Scholarship Examination Speciman Paper

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Question 17 - Kent College 11 Plus Maths Entrance Examination 2015

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Question 16 - Kent College 11 Plus Maths Entrance Examination 2015

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Question 15 - Kent College 11 Plus Maths Entrance Examination 2015

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Question 23 - Eltham College 11 Plus Entrance Examination

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Question 32 - Oundle School 11 Plus 2017 Junior Entrance Examination

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Sevenoaks School Year 7 Entrance Exam 2020 - Question 04

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The Kings School 11 Plus Maths Entrance Examinations 2011 - Question 11

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Group 2 Maths 2017 - Question 30

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Blackheath High School Year 7 Practice Paper 2007 - Question 08

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Bancroft’s School - 11 Plus Maths Sample Paper 2021 entry Question 12

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Queens’ School - Maths Familiarisation Paper Question 11

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ISEB 11 Plus Maths 2008 Practice Paper Question 10

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Lines of Symmetry for 11 Plus Exam

1. What is the line of symmetry?

A line that cuts a shape into two equal halves is the line of symmetry for that shape.
The line of symmetry is also called the mirror line. Depending on the shape, 2D shapes
can have multiple lines of symmetry.
For the simple arrow shape shown below, it has one line of symmetry in the centre as
shown below.

01 Lines of Symmetry

If you fold the above arrow shape along the dashed line in the centre, both halves would match exactly. So the horizontal line passing through the centre line is the line of symmetry of the above shape.
Here are some shapes with lines of symmetry.

02 Lines of Symmetry

1.1 Some simple 2D Shapes with lines of symmetry

2. Lines of Symmetry for Regular Polygons

Regular polygons: All the regular polygons have lines of symmetry. The number of lines of symmetry for a regular polygon is equal to its number of sides.
Let us look at some of the regular polygons and their lines of symmetry.

04 Lines of Symmetry

2.1 Solved Example

Draw all lines of symmetry on the shape shown below.

05 Lines of Symmetry

Solution: Given shape has 8 equal sides, so it's a regular octagon. For a regular polygon, the number of lines of symmetry is equal to the number of sides. So for a regular octagon, it has 8 lines of symmetry.

06 Lines of Symmetry

2.2 Shapes with no lines of symmetry

Not all shapes have lines of symmetry. Many irregular shapes and Irregular polygons have no lines of symmetry. Let's take a look at a few of these shapes.

07 Lines of Symmetry

Some more examples of irregular shapes with no lines of symmetry.

08 Lines of Symmetry

Quiz Questions
47. Lines of Symmetry
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    What is a good score in 11+ Maths ?

    What counts as a "good" score will vary depending on the school you want to attend. The standardized 11 Plus test score average across the country is roughly 100. The highest average in some areas is 111. The lowest scores would often fall between 60 and 70, while the highest scores would normally fall between 130 and 140. To achieve excellent marks on 11+ Maths Exams, practice 11+ Maths topic-wise questions.

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    What do you need to know for the 11 Plus Maths exam?

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