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🦋 Completing Symmetrical Figures

Discover lines of symmetry and learn to complete the missing half of a picture so both sides match perfectly.

lessons

~15 min

to learn

🔢 Math

subject

Ages 6–12

level

Start the course →

What you’ll learn

The Mirror LineUnderstand lines of symmetry and identify how many a shape has.A line of symmetry, or mirror line, splits a shape into two matching halves. Fold along it and the halves land on top of each other. Some shapes have several lines of symmetry — a square has 4, a rectangle has 2, and a circle has countless. Symmetry appears everywhere, from butterflies to reflections in a lake.
Completing the PictureComplete a symmetrical figure by mirroring each point at an equal distance across the line.To complete a symmetrical figure, find the mirror line, then copy each point to the same distance on the other side and join the marks. Reflection keeps distances equal, so a point 2 squares from the line mirrors to 2 squares away. Not every shape is symmetrical — only ones whose halves can match across a line.

Questions this course answers

What is a line of symmetry?

A line of symmetry divides a shape into two halves that mirror each other.

How many lines of symmetry does a square have?

A square can be folded four ways so its halves match: top-to-bottom, side-to-side, and both diagonals.

Why is a butterfly a good example of symmetry?

A butterfly's wings are mirror images across a line down its middle, so it is symmetrical.

To complete a symmetrical figure, the missing half must…

The second half is the mirror image of the first, matching across the line of symmetry.

A point sits 3 squares from the mirror line. How far away is its matching point on the other side?

Reflection keeps the distance equal, so the match is also 3 squares from the line.

Which of these has a line of symmetry?

A block capital A can be folded down the middle so both halves match.

Grounded in trusted sources

Khan Academy Kids
BBC Bitesize — KS2 Maths
NRICH — University of Cambridge
Britannica Kids

Every Wunder lesson is built from real, reputable sources — never invented.

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