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## Transformations: Translation, Rotation, Reflection

A set of geometry worksheets for teaching students about different types of shape transformations: translation, rotation, and reflection.

See also: Flip, Slide, and Turn Worksheets .

## Translation, Rotation, Reflections (Mixed)

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## Translations Only

Reflections only.

These worksheets feature the same skills as translations, reflections, and rotations, but the vocabulary is suited for younger students

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## Translation Worksheets

- Geometry >
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- Translation

This batch of free, printable translation worksheets is a great resource for teachers and parents to enlighten kids on how to translate shapes. Children get access to adequate practice in graphing the translated image of each figure using the number of units to be moved and the direction (up, down, left or right) specified.

These translation worksheets pdfs are ideal for grade 7 and grade 8 students.

Translation of a Point

Pore through our printable translation worksheets and practice graphing the points by mooving up, down, left, and right following the instructions given.

Translation of a Shape

Watch 7th grade and 8th grade students move shapes to the specified position in these translation exercises without rotating or changing them.

Writing the Rules of Translation

Put on your observation caps as you walk through these translation worksheets pdfs, where the task is to figure out the the distance and direction of movement of each shape and write the rule.

Translating Shapes on Coordinate Planes and Writing the Coordinates

Instruct students in grade 7 and grade 8 to translate the image according to the instructions. Let them draw the image in the new position, and write its coordinates.

Writing New Coordinates

Raise the bar with this batch of printable translation worksheets, where children are expected to write the new coordinates obtained after the translation.

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▶ Slides, Flips, and Turns

▶ Reflection

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Translation

Here we will learn about translation, including how to translate 2D shapes and how to describe translations.

There are also translation worksheets and problem solving questions based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

## What is translation?

Translation is a type of transformation that moves a shape in a horizontal direction (left and right) and in a vertical direction (up and down).

We use a column vector to help record the movement.

Shape A has been translated to shape B by the column vector

The column vector gives instructions how to move each point of the original shape.

The inverse transformation would translate shape B back to shape A using the column vector:

The object is the name of the original shape. The image is the name of the shape after it had been translated. When an object is translated the object and the image have the same orientation . There is no rotation or reflection.

The object and the image are congruent because they are the same shape and the same size.

Using tracing paper can be useful when translating shapes.

Step-by-step guide: Column vector

## How to use translation

In order to translate a 2D shape:

Choose a starting point on the shape.

Move it across.

Move it up or down.

Complete the rest of the shape.

## Translation maths worksheet

Get your free translation maths worksheet of 20+ questions and answers. Includes reasoning and applied questions.

## Translation maths examples

Example 1: translate a 2d shape.

Translate shape A by the column vector \begin{pmatrix} \; 4 \; \\ \; 1 \; \end{pmatrix} and label the image B

Choose one of the vertices of the shape as the point you are going to move. Let’s use the bottom right hand point of the shape.

2 Move it across.

The top number in the column vector is 4 so move the point 4 squares to the right .

3 Move it up or down.

The bottom number in the column vector is 1 so move the point 1 square up .

4 Complete the rest of the shape.

You can move each of the other points in the same way and draw in the rest of the 2D shape.

## Example 2: translate a 2D shape

Translate shape A by the column vector and label the image B

Choose one of the vertices of the shape as the point you are going to move. Let’s use the bottom left hand corner of the shape.

The top number in the column vector is -1 so move the point 1 square to the left.

The bottom number in the column vector is 3 so move the point 3 squares up.

## Example 3: translate a 2D shape

The top number in the column vector is 0 so there is no horizontal movement of the point.

The bottom number in the column vector is -4 so move the point 4 squares down.

## How to describe translations

In order to describe a translation of a shape:

Pair up the points.

Work out the horizontal movement.

Work out the vertical movement.

State the column vector.

## Describing translations examples

Example 4: describe a translation.

Describe the translation of shape P to shape Q

Pair up a point from the object and the corresponding point on the image. Here one pair of points is chosen. It should not matter which pair of points are chosen.

From the object P the point is (1,1)

For the image Q the point is (3,2)

Using the grid or the x -coordinates, work out the horizontal movement. There is a shift of 2 to the right.

Using the grid or the y -coordinates, work out the vertical movement. There is a shift of 1 upwards .

Now we need to write the horizontal shift and the vertical shift in a column vector.

Shape P has been translated to shape Q by the column vector

\begin{pmatrix} \; 2 \;\\ \; 1 \; \end{pmatrix}

## Example 5: describe a translation

Describe the translation of shape A to shape B

Pair up a point from the object and the corresponding point on the image. Here one pair of points is chosen. It should not matter which pair of points are chosen.

From the object A the point is (4,6)

For the image B the point is (1,2)

Using the grid or the x -coordinates, work out the horizontal movement. There is a shift of 3 to the left .

Using the grid or the y -coordinates, work out the vertical movement. There is a shift of 4 downwards .

\begin{pmatrix} \; -3 \;\\ \; -4 \; \end{pmatrix}

## Example 6: describe a translation

From the object A the point is (1,1)

For the image B the point is (1,6)

Using the grid or the x -coordinates, work out the horizontal movement. There is no horizontal shift .

Using the grid or the y -coordinates, work out the vertical movement. There is a shift of 5 upwards .

Shape A has been translated to shape B by the column vector

\begin{pmatrix} \; 0 \;\\ \; 5 \; \end{pmatrix}

## Common misconceptions

- Check the scale of the coordinate grid

Be careful to consider the scaling on the axes. What is the column vector for the translation of shape P to shape Q?

If we count the squares it may appear that shape P has been translated by the column vector

But if by considering the scale on the axes, the correct column vector is

- Interpreting the column vector

Remember, the top number is for horizontal movement. A positive number moves the shape to the right and a negative number moves the shape to the left. The bottom number is for vertical movement. A positive moves the shape upwards and a negative number moves the shape downwards.

- Object and image

The original shape is the object and the translated shape is the image. Make sure you know which shape is the original shape and start there when describing transformations such as translations.

## Practice translation maths questions

1. Translate the shaded shape by the column vector

Choose a point on the vertex of the shape and move it 3 to the right and 2 up.

Do the same with all the points, or carefully draw in the rest of the image.

2. Translate the shaded shape by the column vector

Choose a point on the vertex of the shape and move it 4 to the left and 1 up.

3. Translate the shaded shape by the column vector

Choose a point on the vertex of the shape and move it 3 to the right and 0 up or down.

4. Describe the transformation of shape A to shape B.

Translation by

Choose a point on the object shape A and its corresponding point on the image shape B. Count the shift in the horizontal direction. Count the shift in the vertical direction.

5. Describe the transformation of shape A to shape B.

6. Describe the transformation of shape P to shape Q.

Choose a point on the object shape P and its corresponding point on the image shape Q. Count the shift in the horizontal direction. Count the shift in the vertical direction.

## Translation maths GCSE questions

1. A shape is translated by the vector

In which direction does the shape move?

Circle your answer.

Up Down Left Right

2. Translate trapezium P by the vector

For a translation (new shape is same orientation as the original shape)

For the correct translation

3. Describe the single transformation that maps Shape A onto shape B .

(For stating translation)

(For the correct vector)

## Learning checklist

You have now learned how to:

- Translate a 2D shape by a vector
- Describe translations as 2D vectors

## The next lessons are

- Enlargements
- Pythagoras’ theorem
- Trigonometry

## Still stuck?

Prepare your KS4 students for maths GCSEs success with Third Space Learning. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors.

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## Translating Shapes

Subject: Mathematics

Age range: 7-11

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22 February 2018

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## Transformation Worksheets: Translation, Reflection and Rotation

Exercise this myriad collection of printable transformation worksheets to explore how a point or a two-dimensional figure changes when it is moved along a distance, turned around a point, or mirrored across a line. Encompassing basic transformation practice on slides, flips, and turns, and advanced topics like translation, rotation, reflection, and dilation of figures on coordinate grids, these pdf worksheets on transformation of shapes help students of grade 1 through high school sail smoothly through the concept of rigid motion and resizing. Access some of these worksheets for free!

Printing Help - Please do not print transformation worksheets directly from the browser. Kindly download them and print.

» Slide, Flip and Turn

» Rotation

» Translation

» Reflection

» Dilation with Center at Origin

» Dilation with Center not at Origin

Identify the Transformation

In these worksheets identify the image which best describes the transformation (translation, reflection or rotation) of the given figure. Ideal for grade 5 and grade 6 children.

- Download the set

Write the Type of Transformation

Each grid has the figure and the image obtained after transformation. Write, in each case the type of transformation undergone. Recommended for 6th grade and 7th grade students.

Transformation of Points: Multiple Choices

Rotate, reflect and translate each point following the given rules. Grade 7 students should choose the correct image of the transformed point.

Multiple Choices: Transformation

The coordinates of a point are given. Perform the required transformation and check mark the correct choice.

Transformation of Shapes

Translate, reflect or rotate the shapes and draw the transformed image on the grid. Each printable worksheet has eight practice problems.

Transformation of Triangles

Draw the transformed image of each triangle. The type of transformation to be performed is described above each question.

Transformation of Quadrilaterals

Let the high school students translate each quadrilateral and graph the image on the grid. Label the quadrilateral after transformation.

Transformation: Any Two of Three

Two types of transformation have been performed to each figure. Middle school children should choose the correct transformations undergone.

Write the Rules

Identify the transformation undergone by the figure and write a rule to describe each of them.

Writing Coordinates: With Graph

Perform the required transformation for each figure and graph it. Also write the coordinates of the image obtained. Suitable for 8th graders.

Writing New Coordinates

The coordinates of the figure are given. Write down the coordinates of the vertices of the image after transformation.

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## Translations Practice Questions

Click here for questions, click here for answers, gcse revision cards.

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## IMAGES

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Translations of Shapes Date_____ Period____ Graph the image of the figure using the transformation given. 1) translation: 1 unit left x y Q X G U 2) translation: 1 unit right and 2 units down ... Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com. Title: Translations of Shapes

Translation Worksheets. Our printable translation worksheets contain a variety of practice pages to translate a point and translate shapes according to the given rules and directions. Also, graph the image and find the new coordinates of the vertices of the translated figure in these pdf exercises. These worksheets are recommended for 6th grade ...

Tell whether each shape was translated, rotated, or reflected. This version includes an example box at the top of the page. Examine the first shape, then label its translation, rotation, and reflection. Copy this page on card stock. Students cut the shapes, then trace the reflection, translation, and rotation.

Translations Worksheets Worksheets. ... Triangles, 4-sided polygons and box shaped objects may be selected. Types of Shapes To Be Drawn. Triangles 4-sided Polygons. Box Shapes Language for the Transformations Worksheet. English: German: Albanian: Spanish: Swedish: Italian: French: Turkish: Polish:

These KS2 Translating Shapes Worksheets can support children and allow them to practice translating shapes on both squared paper and a coordinates grid. If you enjoyed this resource on translation, you may also like the following resources: Four Quadrant 2D Shape Translations Differentiated Worksheets. Drawing Reflected Shapes Differentiated ...

This pack of differentiated worksheets is the perfect way to teach your elementary Math students to translate shapes using a square grid. This pack includes 5 different shape translation tasks - great for mixed ability groups.Using the squared graph paper provided, students must translate the shapes without changing them. A great introduction to both geometry and shapes - this pack even ...

Translation Worksheets. This batch of free, printable translation worksheets is a great resource for teachers and parents to enlighten kids on how to translate shapes. Children get access to adequate practice in graphing the translated image of each figure using the number of units to be moved and the direction (up, down, left or right ...

This worksheet will teach your child to successfully translate shapes on both squared paper and a grid, without altering them in terms of size or rotation. This is an essential Maths and Geometry skill to help them to understand shape location, translation and transformation. The above video is from a third-party source.

This translation worksheet is just one example of our amazing maths resources. It will teach your child to successfully translate shapes on both squared paper and a grid, without altering them in terms of size or rotation. This is an essential Maths and Geometry skill to help students understand shape location, translation, and transformation.

Translations Video 325, 326 on www.corbettmaths.com *There are templates for questions 1 and 3 at the end of this exercise. Question 1: Translate each of the shapes below as instructed. (a) (b) (c) (d) (e) (f) Question 2: Describe fully each translation that takes shape A to shape B (a) (b) (c)

Translate shapes. Draw the image of A B C under the translation ( x, y) → ( x, y + 3) . Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

Here we have five transformations worksheets to help children in grades 4-6 understand how to translate, reflect and rotate different shapes.We've provided the worksheets on squared paper to make the transformations easier to process and draw with ease.The first worksheet tests children on translation and asks them to show a translation of 2 squares right and 3 squares up from the example ...

Geometry Transformations Worksheets. Our math transformation worksheets in PDF are designed to help students in middle school and high school master the art of translating, reflecting, rotating, and dilating shapes. Use our reflection worksheets, rotation worksheets, translation worksheets, and dilation worksheets to help your child or student ...

Translation worksheets. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pptx, 201.7 KB. There are three worksheets here. The first sheet asks the children to identify how the shape has been translated. The second requires them to translate easier shapes, whereas the third is more challenging.

This Transformations Worksheet will produce problems for practicing translations, rotations, and reflections of objects. Triangles, 4-sided polygons and box shaped objects may be selected. This worksheet is a great resources for the 5th, 6th Grade, 7th Grade, and 8th Grade. Identifying Translation, Rotation, and Reflection.

Example 1: translate a 2D shape. Translate shape A by the column vector \begin {pmatrix} \; 4 \; \\ \; 1 \; \end {pmatrix} ( 4 1) and label the image B. Choose a starting point on the shape. Choose one of the vertices of the shape as the point you are going to move. Let's use the bottom right hand point of the shape.

Slide and rotate shapes. Students translate and rotate simple shapes on a coordinate plane using ordered pairs in these geometry worksheets. Worksheet #1 Worksheet #2 Worksheet #3. Worksheet #4. Similar: Function tables and the coordinate plane Area of Triangles.

Translating Shapes. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. ppt, 396 KB. Translating shapes worksheet - differentiated for lower/middle and higher. Used in year 5 class. Creative Commons "Sharealike".

In these worksheets identify the image which best describes the transformation (translation, reflection or rotation) of the given figure. Ideal for grade 5 and grade 6 children. Each grid has the figure and the image obtained after transformation. Write, in each case the type of transformation undergone. Recommended for 6th grade and 7th grade ...

These worksheets are perfect practice exercises for 5th, 6th and 7th grade geometry students. These transformation math worksheets practice rotation, reflection and translation transformations of geometric shapes on a coordinate plane. ... After a translation, the new shape will be congruent to the original and retain the same orientation ...

The Corbettmaths Practice Questions on Translations. Next: Transformations of Graphs Practice Questions

reflection across the x-axis reflection across y = − x. reflection across x = −3. reflection across the y-axis reflection across y = x. Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com.