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Symmetry — iLearn
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A butterfly's wings match perfectly on both sides — that's symmetry! A shape has symmetry when one half is a mirror image of the other. The imaginary fold line is called the line of symmetry (or mirror line ).
✨ A square has 4 lines of symmetry — you can fold it in half in four different ways and both halves always match .
When you fold a square in half, both sides match exactly along the fold. Figure with 4 line(s) of symmetry 🟦 A square's 4 lines of symmetry: across, down, and both diagonals. Fold along any one and the halves match. Figure with 3 line(s) of symmetry An equilateral triangle has 3 lines of symmetry — one from each corner to the middle of the opposite side. To check for symmetry , imagine folding the shape along the line . If both halves line up perfectly , the line is a line of symmetry . A rectangle has 2 lines of symmetry , while a regular hexagon has 6.
🗂️ Sort each shape by how many lines of symmetry it has.
Exactly 1 line of symmetry More than 1 line of symmetry
Exactly 1 line of symmetry More than 1 line of symmetry
Exactly 1 line of symmetry More than 1 line of symmetry
Exactly 1 line of symmetry More than 1 line of symmetry
🔊 💡 Symmetry is all around you in nature : leaves , butterfly wings , and snowflakes are symmetrical . Letters like A, M, and T have one vertical line of symmetry .
Quiz time! 📝
Symmetry Quiz Question 1 of 5 Tip: log in to save your score and track progress.
🔊 What is the imaginary fold line in a symmetrical shape called?1 A diameter ?
2 A line of symmetry ?
3 A diagonal ?
4 An axis ?
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A snowflake has six matching sides — nature makes perfect symmetry! Figure with 1 line(s) of symmetry 🦋 A butterfly has one vertical line of symmetry — its left and right wings are mirror images.
A regular shape (where all sides are the same length ) has the same number of lines of symmetry as it has sides . A regular triangle has 3, a square has 4, a regular pentagon has 5, and a regular hexagon has 6. That is a very neat pattern !
Figure with 6 line(s) of symmetry A regular hexagon has 6 sides — and exactly 6 lines of symmetry. The pattern always matches! 🔗 Match each regular shape to its number of lines of symmetry.
6 lines 5 lines 4 lines 3 lines
6 lines 5 lines 4 lines 3 lines
6 lines 5 lines 4 lines 3 lines
6 lines 5 lines 4 lines 3 lines
🔊 To draw the mirror image of a shape on squared paper , count how many squares each point is away from the mirror line , then draw the same point the same distance on the other side . A point 2 squares to the left of the line maps to a point 2 squares to the right .
✨ A circle has infinitely many lines of symmetry — you can draw the diameter in any direction and both halves always match !
A leaf's two halves mirror each other perfectly along its middle stem. 🧩 Order these shapes from fewest to most lines of symmetry.
Regular hexagon (6 lines) ? Square (4 lines) ? Rectangle (2 lines) ? Scalene triangle (0 lines) ? 🔊 Some capital letters are symmetrical and some are not. A, H, I, M, O, T, U, V, W, X and Y have at least one line of symmetry . Letters like F, G, J, L, P, Q and R have none — you cannot fold them so the halves match .
Figure with 1 line(s) of symmetry A The letter A has 1 line of symmetry — a vertical fold down the middle.
Figure with 2 line(s) of symmetry H The letter H has 2 lines of symmetry — one vertical and one horizontal.
Letter Lines of symmetry A 1 (vertical) H 2 (vertical & horizontal) X 2 O Many F 0 — none
Lines of symmetry hiding in capital letters. Try drawing the fold lines yourself! 🃏 Flip each card to find out how many lines of symmetry the shape has.
? Equilateral triangle 3 lines of symmetry
? Square 4 lines of symmetry
? Regular pentagon 5 lines of symmetry
? Circle Infinitely many lines of symmetry
Tap each card to see the answer.
🔊 🗂️ Sort each capital letter: does it have a line of symmetry or not?
Has a line of symmetry No line of symmetry
Has a line of symmetry No line of symmetry
Has a line of symmetry No line of symmetry
Has a line of symmetry No line of symmetry
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