4th Grade Lines of Symmetry Worksheet (PDF)

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This grade 4 symmetry worksheet for 4th Grade covers lines of symmetry (Common Core 4.G.A.3), with a free PDF to print.

These 20 problems practice finding and counting lines of symmetry in polygons, letters, and everyday objects. You will also complete a symmetric figure. They match Common Core 4.G.A.3.

Fold paper copies of the shapes to check your answers. The last six problems are word problems about butterflies, road signs, words, flags, and folding a square.

Grade 4 · Common Core State Standards: 4.G.A.3

Grade 4 symmetry worksheet: exercises 1 to 10

Exercise 1 – Is it symmetric?

Is the butterfly line-symmetric? Explain what you would check.

Butterfly.

Exercise 2 – Square

How many lines of symmetry does a square have?

A square.

Exercise 3 – Rectangle

How many lines of symmetry does a rectangle that is not a square have?

A rectangle that is not a square.

Exercise 4 – Equilateral triangle

How many lines of symmetry does an equilateral triangle have?

An equilateral triangle.

Exercise 5 – Isosceles triangle

How many lines of symmetry does this isosceles triangle have?

An isosceles triangle.

Exercise 6 – Slanted parallelogram

How many lines of symmetry does this parallelogram have?

A slanted parallelogram.

Exercise 7 – Vertical lines in letters

Which of these letters have a vertical line of symmetry: A, B, F, H, M, S, T?

ABFHMST
Capital letters.

Exercise 8 – Horizontal lines in letters

Which of these letters have a horizontal line of symmetry: B, E, F, H, L, S?

Exercise 9 – Letters with no lines

Which of these letters have no line of symmetry at all: A, F, H, L, S, T?

Exercise 10 – Regular pentagon

How many lines of symmetry does a regular pentagon have?

A regular pentagon.

Exercises 11 and up

Exercise 11 – Regular hexagon

How many lines of symmetry does a regular hexagon have?

A regular hexagon.

Exercise 12 – Circle

How many lines of symmetry does a circle have? Explain.

Exercise 13 – Complete the shape

The dashed line is a line of symmetry. Draw the other half of the shape on the grid.

Grid with a dashed line of symmetry.

Exercise 14 – Sort the shapes

Complete the table with the number of lines of symmetry.

Shape Lines of symmetry
Rhombus that is not a square ?
Kite ?
Regular octagon ?
Triangle with three different side lengths ?

Exercise 15 – Stop sign

A stop sign is a regular octagon. How many lines of symmetry does it have?

STOP
A stop sign.

Exercise 16 – Butterfly spots

Maya paints a line-symmetric butterfly. The left wings have 4 spots in all. The right wings match the left wings. The body also has 1 spot on the line of symmetry. How many spots are there altogether?

Exercise 17 – Road signs

Jamal sorts road signs: a yield sign (equilateral triangle), a stop sign (regular octagon), and a school-crossing sign (a pentagon shaped like a house with exactly 1 line of symmetry). How many lines of symmetry are there in all three signs?

Exercise 18 – Words with symmetry

Sofia notices that the word MOM looks the same when reflected in a vertical mirror. M and O each have a vertical line of symmetry. Does the word TOT also look the same in a vertical mirror? What about HAT?

Exercise 19 – Flag stripes

Priya designs two flags with three equal horizontal stripes. Flag A is red, white, red from top to bottom. Flag B is blue, white, red. Which flag has a horizontal line of symmetry? How many lines of symmetry does each flag have?

redwhitered
A three-stripe flag.
bluewhitered
A three-stripe flag.

Exercise 20 – Folding a square

Ethan folds a square sheet so that the two halves match. How many different ways can he fold it? How many of those folds make two triangles, and how many make two rectangles?

See the solutions: Lines of Symmetry worksheet solutions

Key facts behind this grade 4 symmetry worksheet

Key facts
  • A line of symmetry splits a figure into two matching halves.
  • A square has 4 lines of symmetry, a rectangle has 2, and an equilateral triangle has 3.
  • A regular polygon with n sides has n lines of symmetry.
  • Some figures, like a slanted parallelogram, have no lines of symmetry.
  • Check by folding: the edges and corners must line up exactly.

How to use this grade 4 symmetry worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the grade 4 symmetry worksheet as a PDF with the button below and keep it with your notes.

All Grade 4 chapters: Grade 4 math.

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4th Grade Lines of Symmetry Worksheet

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