4th Grade Lines of Symmetry Worksheets with Answers (Free PDF)

4th grade lines of symmetry worksheet – Maths PDF

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

Key takeaway: This worksheet helps fourth grade students practice finding, counting, and drawing lines of symmetry.

Topic: Lines of Symmetry (4th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 4.G.A.3
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fourth grade students practice finding, counting, and drawing lines of symmetry. Also, shapes, letters, signs, and flags show where symmetry appears in daily life.

There are 20 problems. The first six count the lines in squares, rectangles, and triangles, and the next three explore letters. Then, three problems look at regular polygons and the circle, one completes a shape, and one fills a table. Also, the last six are real situations with a stop sign, a butterfly, road signs, words, flags, and folding a square. Then, allow about 30 minutes.

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

4th grade lines of symmetry worksheet: worksheet problems 1 to 10

1 – Is it symmetric?

First, is the butterfly line-symmetric? Explain what you would check.

Butterfly.

2 – Square

Next, how many lines of symmetry does a square have?

A square.

3 – Rectangle

Then, how many lines of symmetry does a rectangle that is not a square have?

A rectangle that is not a square.

4 – Equilateral triangle

Now, how many lines of symmetry does an equilateral triangle have?

An equilateral triangle.

5 – Isosceles triangle

Also, how many lines of symmetry does this isosceles triangle have?

An isosceles triangle.

6 – Slanted parallelogram

First, how many lines of symmetry does this parallelogram have?

A slanted parallelogram.

7 – Vertical lines in letters

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

Capital letters.

8 – Horizontal lines in letters

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

9 – Letters with no lines

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

10 – Regular pentagon

Also, how many lines of symmetry does a regular pentagon have?

A regular pentagon.

Worksheet problems 11 and up

11 – Regular hexagon

First, how many lines of symmetry does a regular hexagon have?

A regular hexagon.

12 – Circle

Next, how many lines of symmetry does a circle have? Explain.

13 – Complete the shape

Then, 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.

14 – Sort the shapes

Now, 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	?

15 – Stop sign

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

A stop sign.

16 – Butterfly spots

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

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?

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?

Worksheet problem 19 and after

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?

A three-stripe flag.

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?

Key facts behind this 4th grade lines of symmetry worksheet

Key facts

A line of symmetry splits a figure into two matching halves.
Also, 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.
Then, some figures, like a slanted parallelogram, have no lines of symmetry.
Check by folding: the edges and corners must line up exactly.

Common mistakes with this 4th grade lines of symmetry worksheet

Students draw a diagonal of a slanted four sided shape and call it a line. Test the line by folding, because the halves must match.
Students answer 4 for a rectangle that is not a square. Instead, a rectangle has only 2 lines, one in each direction.
Students give a number for a circle. A circle has too many lines to count, because every line through the center works.
Students compare flag colors in the wrong direction. Also, check whether the top half matches the bottom half for a horizontal line.

Tips before you start the worksheet problems

Draw each line you find in a different color. Also, different colors keep you from counting the same line twice.
Use the idea for regular shapes. Then, a regular polygon has the same number of lines as it has sides.
Teachers can ask students to show their fold for the square and explain which folds match. Repeat this habit on every problem for the best results.

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

4th grade lines of symmetry worksheet: frequently asked questions

How many lines of symmetry does a regular pentagon have?

A regular pentagon has 5 lines of symmetry. Also, each line goes from a corner to the middle of the opposite side. A regular polygon always has as many lines as sides, so a hexagon has 6 and an octagon has 8.

Which letters have a horizontal line of symmetry?

Letters such as B, C, D, E, H, and K have a horizontal line. So, fold each letter along its middle to check. Also, letters like F and L have no horizontal line, and some have none at all.

How many ways can you fold a square so the halves match?

You can fold a square in 4 ways. Two folds run through the midpoints of opposite sides and make rectangles. Two folds run along the diagonals and make triangles. A quick check like this takes only a few seconds and prevents most errors.

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