# Symmetry Teaching Resources

Explore printable symmetry worksheets and activities, grid drawing activities and more math resources for the elementary classroom!

This collection of teacher-created teaching resources is packed with TEKS and Common Core Math curriculum-aligned and editable options designed to help kids develop their spatial reasoning skills, recognize patterns and understand how objects are put together.

Explore shapes and patterns through the lens of symmetry, teach students how to find the axis of symmetry and more with printables and digital activities that have undergone a thorough review from our expert teachers to ensure they're ready for your classroom!

Want to learn more about how to teach symmetry, or looking for fresh ways to engage your students? Read on for a primer from our teacher team!

## What Is Symmetry? A Definition for Kids

If you're looking to introduce your lesson by explaining what symmetry is, this kid-friendly definition of the geometry concept may help!

Symmetry is when something is exactly the same on both sides. Think of it like a mirror — if you were to draw a line down the middle, both sides would be identical.

If a shape cannot be split in this way, we call it asymmetrical.

## What Is the Line of Symmetry? A Definition for Kids

Of course, one of the key concepts of any symmetry lesson plan is learning about the line of symmetry — what it is and how to find it. Here's one way to explain it to your students!

The line of symmetry is like an imaginary line that cuts something in half so that both sides are exactly the same. It is also called the axis of symmetry.

The line of symmetry of a shape is based on its orientation, meaning that the line that splits an object into two perfectly matched halves can appear differently — depending on the shape.

Shapes can have any of the following:

- Vertical Line of Symmetry
- Horizontal Line of Symmetry
- Diagonal Line of Symmetry

## How to Find the Line of Symmetry

To find the line of symmetry, have your students fold an object such as a piece of notebook paper in half or draw a line down the middle to see if both sides match.

For example, if they have a square, students can draw a line from one corner to the opposite corner to find the line of symmetry. You can also have students draw heart shapes — or use a printed heart template — and fold it in half to find the Y-axis that splits the two halves of the heart.

Once they find the line of symmetry, students can use it to create symmetrical patterns or designs!

## Different Types of Symmetry

There are several different types of symmetry that students will learn about throughout elementary school.

### Line Symmetry or Reflexive Symmetry

Line symmetry — also called reflexive symmetry — describes when something is exactly the same on both sides of a line. It's a bit like a magic trick that makes things look exactly the same on both sides of a line, and it's a fun way to make art and designs — if you were to put colorful paint on one side of a piece of paper, then fold the paper in half while the paint is still wet, you would have a beautiful piece of art that has line symmetry.

To explain this to students, you might want to use the example of a butterfly.

Imagine you have a butterfly that has the same shape and pattern on both sides of its body. That means that the butterfly has line symmetry! If you were to draw a line down the middle of the butterfly's body, both sides would match up perfectly.

### Rotational Symmetry

If you can keep rotating an object around, and it will always look the same after 60 degrees, 120 degrees, 180 degrees, and so on, that means it has rotational symmetry! Some shapes that have rotational symmetry include squares, circles, equilateral triangles, and hexagons.

Rotational symmetry is a bit like spinning a toy around and around and seeing if it looks the same from all angles. Imagine if you have a toy car with a circle on it. If you spin the car around, you'll see that the circle looks the same in every direction. This means that the circle has rotational symmetry.

### Translational Symmetry

Translational symmetry is when something looks exactly the same no matter where you move it. Kids might think of this type of symmetry as like a sliding game that makes things look the same no matter where you move them.

To use the toy car example from above, imagine if you took that toy car and slid it to the left or right. The car would look exactly the same in every position along the way. This means that the car has translational symmetry.

### Glide Symmetry

Glide symmetry is like a sliding and flipping game that makes things look the same no matter how you move them.

Let's go back to the butterfly for this one. Say you have a butterfly with its wings spread out. If you slide the butterfly to the left or right and then flip it over, the butterfly will look the same as it did before. This means that the butterfly has glide symmetry!

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### Exploring Rotational Symmetry Worksheets - Drawing Prompts

Encourage creativity and practice knowledge of rotational symmetry with a set of exciting symmetry drawing worksheets.

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### Identifying Lines of Symmetry Task Cards

Use this set of 24 task cards to help your students practise identifying lines of symmetry in 2D shapes.

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### Thanksgiving Symmetry Worksheets

Explore symmetry with these Thanksgiving drawing symmetry worksheets.

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### Draw the 2D Shape! Worksheet

Use this single-page symmetry worksheet to spark students’ creativity, as they think of and draw shapes which fit the provided lines of symmetry.

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### Sorting Symmetrical Shapes Worksheets

Use this simple but effective symmetry worksheet to reinforce the concepts of symmetrical and asymmetrical shapes with your Fourth Grade students.

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### Sorting by Symmetry: 2D Figure Task Cards

Help students practice sorting 2D shapes by the number of lines of symmetry using this fun set of mathematics sorting cards.

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### Lines of Symmetry Teaching Slides

Introduce your students to the concept of lines of symmetry using this comprehensive and easy-to-understand 12-slide teaching presentation!

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### Line of Symmetry 2D Shapes Interactive Activity

Engage your students in a variety of interactive activities all focused on the line of symmetry for 2D shapes.

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### Is It a Line of Symmetry? Worksheets

Assign this lines of symmetry worksheet to your students to check their understanding of the existence of a line of symmetry on various 2D shapes.

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### Draw The Line of Symmetry Worksheets

Use this lines of symmetry worksheet to help students practice drawing lines of symmetry on 2D shapes.

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### Symmetry Picture Task Cards

Use these fun and colorful symmetry picture task cards to help students identify lines of symmetry in both everyday objects and 2D shapes.

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### Find the Line of Symmetry Interactive Resource

Have fun with your class using this interactive learning tool to find the line of symmetry on various shapes and objects!

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### Matching Lines of Symmetry Worksheets

Introduce the concept of ‘multiple lines of symmetry’ to your Grade Fours with this match-up worksheet set.

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### Shape Investigation 2D Figures Task Cards

Combine fun and learning with these 2D shapes and symmetry task cards for your Fourth Grade students!

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### Symmetry Pattern Design Worksheet

Have your students create real-world symmetrical representations using this 3-page symmetry worksheet set and a set of pattern blocks.

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### Pattern Block Butterflies Symmetry Task Cards

Bring some colorful fun into your classroom with these symmetry butterflies, a hands-on learning activity for young students to explore the concept of symmetry.

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### Pattern Block Flowers Interactive

Use this flower-themed interactive activity for your students to practice using manipulatives to create or expand on shapes using a pattern or symmetry model.

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### Identifying Lines of Symmetry Worksheets

Use this set of differentiated worksheets to help students practise the process involved with identifying lines of symmetry on two-dimensional shapes.

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### Identifying Lines of Symmetry Interactive Activity

Explore this rail-yard themed interactive activity with your students to teach them how to identify lines of symmetry.

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### Identifying Lines of Symmetry Poster

Display this poster in your classroom as a reference tool for students to learn to identify lines of symmetry.

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### Symmetry Drawing Worksheet Pack

Teach your students about symmetry using this series of drawing worksheets where they must copy an image symmetrically using grid lines for reference.

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### Symmetry Worksheets

Use this set of eight symmetry worksheets to help students understand symmetry, the line of symmetry, and symmetrical objects.

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### Christmas Symmetry Worksheets - Mirrored Drawing Activity

Explore symmetry with these printable Christmas-themed symmetry worksheets.

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### 2-D Symmetry Poster - Reflection and Rotational

Explores both reflection and rotational symmetry with this classroom poster.

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### Shapes and Symmetry - Worksheet

Monitor and assess your students' understanding of 2D shapes and their properties with this 2-page worksheet.