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• Transformation > ## Reflection Worksheets

Our printable reflection worksheets have exclusive pages to understand the concepts of reflection and symmetry. Exercises to graph the images of figures across the line of reflection, reflection of points and shapes are here for practice. In addition, skills to write the coordinates of the reflected images and more are in these pdf worksheets, making them ideal for students of grade 5 through high school. Flip through our free reflection worksheets and catch a glimpse of what’s in store!

Printing Help - Please do not print reflection worksheets directly from the browser. Kindly download them and print. Reflection across the Axes

In these reflection worksheets the figure and a line of reflection are given in each problem. Draw the image obtained after reflection. Draw the other Half: Mirror Image

Draw the other half of the symmetrical shape. Students of 5th grade need to practice these pages to know the relationship between reflection and symmetry. Reflection of a Point

In these printable worksheets for grade 6 and grade 7 reflect the given point and graph the image across the axes and across x=a, y=b, where a and b are parameters. Choose the Correct Reflection

This practice set tasks 6th grade and 7th grade students to identify the reflection of the given point from the given options. Reflect the point across the line of reflection. Reflection of Shapes

In these reflection worksheet pdfs, reflect the shapes across the lines of reflection. Each worksheet has eight problems. Reflection of Triangles

Reflect each triangle and draw its image on the grid following the given rule (across the axes; x=a; y=b) shown above each grid. Reflect each quadrilateral across the given line of reflection. Graph the image on the grid and label them. Write the Rules

In these printable 8th grade worksheets write a rule to describe each reflection by determining if the reflection across the x-axis, across the y-axis or across a specific line. Writing Coordinates: With Graph

Graph the image of each figure after the given reflection. Label the image and write the coordinates. Writing Coordinates

Observe the given coordinates carefully. Write the new coordinates obtained after reflection in these pdf worksheets for grade 8 and high school.

Related Worksheets

» Symmetry

» Slide, Flip and Turn

» Rotation

» Translation

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• Resources Jobs Schools directory News Search ## Maths- Geometry- translation and reflection Year 6

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete) Last updated

5 December 2020

• Share through email
• Share through pinterest In this lesson, pupils will learn how to translate and reflect shapes in a 4-quadrant axis. They will then complete a number of past SATs questions which require them to use their reasoning and problem solving skills.

Worksheets on both translation and reflection are provided with the mark schemes.

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## Reflections Year 6 Position and Direction Resource Pack ## Step 4: Reflections Year 6 Position and Direction Resource Pack

Reflections Year 6 Position and Direction Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Autumn Block 4. ## What's included in the pack?

This pack includes:

• Reflections Year 6 Position and Direction Teaching PowerPoint.
• Reflections Year 6 Position and Direction Varied Fluency with answers.
• Reflections Year 6 Position and Direction Reasoning and Problem Solving with answers.

## National Curriculum Objectives

Mathematics Year 6: (6P3)  Describe positions on the full coordinate grid (all four quadrants)

Mathematics Year 6: (6P2)  Draw and translate simple shapes on the coordinate plane, and reflect them in the axes

Differentiation: Varied Fluency Developing  Questions to support reflecting shapes across the x or y axis. Using regular shapes with up to four sides. Single reflections only. Expected Questions to support reflecting shapes across the x or y axis. Using shapes with up to five sides, where some shapes may be irregular. Some use of multiple reflections. Greater Depth Questions to support reflecting shapes across the x or y axis. Using irregular shapes with up to six sides and multiple reflections. Including grids of varying scales with some points plotted between increments.

Reasoning and Problem Solving Questions 1, 4 and 7 (Problem Solving) Developing  Describe how a shape has moved when translated and reflected across the x or y axis. Using regular shapes with up to four sides.  Expected  Describe how a shape has moved when translated and reflected across the x or y axis. Includes regular and irregular shapes with up to 5 sides. Greater Depth Describe how a shape has moved when translated and reflected multiples times across the x and y axis. Using irregular shapes with up to six sides and grids of varying scales with some points plotted between increments.

Questions 2, 5 and 8 (Problem Solving) Developing Draw a shape from its reflected coordinates when reflected across the x or y axis. Using regular shapes with up to four sides.  Expected Draw a shape from its reflected coordinates when reflected across the x or y axis. Includes regular and irregular shapes with up to 5 sides. Greater Depth Draw a shape from its reflected coordinates when reflected multiple times across the x or y axis. Using irregular shapes with up to six sides and grids of varying scales with some points plotted between increments.

Questions 3, 6 and 9 (Reasoning) Developing Explain whether a reflection is correct when reflected across the x or y axis. Using regular shapes with up to four sides.  Expected Explain whether a reflection is correct when reflected across the x or y axis. Includes regular and irregular shapes with up to 5 sides. Greater Depth Explain whether a reflection is correct when reflected multiple times across the x and y axis. Using irregular shapes with up to six sides and grids of varying scales with some points plotted between increments.

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Classroom Stars ## Year 6 | Reflection Worksheets

These Year 6 reflection worksheets present a squared grid with four quadrants and two shapes (Shape A & Shape C) in the 4th quadrant. Learners are required to reflect Shape A in the x-axis to produce Shape B and then draw it. They will then write the coordinates of the vertices of Shape B. Next, pupils will reflect Shape C in the y-axis to produce Shape D and then draw it. They will write the coordinates of the vertices of Shape D. Lastly, learners are asked to reflect Shape A and C in the 4th quadrant and then draw those shapes. This worksheet will prove tricky as pupils will have to adopt critical thinking skills with an understanding of how to reflect shapes in all four quadrants on a grid.

Our Year 6 geometry: position and direction worksheets are created to match the KS2 national curriculum. They can be combined with your ideas and teaching strategies for learning activities, homework, differentiation and lesson plans.

You might also like our Year 6 coordinates (part 1) worksheets .

Explore the rest of our Year 6 maths worksheets .

Access ALL  resources for one yearly payment of just £4.95 ## Year 2 | Adding the Suffix ‘ly’ to Words Worksheets ## Year 2 | Multiplication Problems Worksheets ## Year 3 | Mental Subtraction Worksheets

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This topic is relevant for: Here we will learn how to reflect 2D shapes on grid paper and how to describe reflections.

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

## What is reflection?

Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point.

Triangle P has been reflected in the line x=4 to give Triangle Q .

Triangle P is the object and Triangle Q is the image.

When an object is reflected the object and the image are mirror images of each other.

We can see that each point of triangle P is the same distance from the mirror line as the corresponding point on triangle Q .

The two triangles are congruent because they are the same shape and the same size. ## How to use reflections

In order to reflect a shape on a grid:

• Reflect the first point.
• Reflect the other points.
• Finish the diagram. ## Reflection maths worksheet

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

## Reflection maths examples

Example 1: reflect a shape on a grid.

Reflect the shape in the line:

Choose the first point to reflect. It is easier to start with a point which is closest to the mirror line (the line of reflection). The new point will be exactly the same distance away from the mirror line as the original point.

2 Reflect the other points.

Here is a second point being reflected to give its image. The remaining two points have also been added.

3 Finish the diagram.

To finish the diagram we can join up the reflected points.

## Example 2: reflect a shape on a grid

Here is a second and a third point being reflected to give its image. The remaining point is on the mirror line and does not move (it is an invariant point).

## How use reflections on a coordinate grid

In order to reflect a shape on a coordinate grid:

• Draw the mirror line .

## Reflections on a coordinate grid examples

Example 3: reflect a shape on a coordinate grid.

Reflect Triangle P in the line x = 4 :

• Draw the mirror line.

The mirror line is x = 4 (the line of reflection). This is a vertical line. Draw this on the diagram.

Choose the first point to reflect. It is easier to start with a point which is closest to the mirror line (the line of reflection). Let’s reflect the point (3,1) . The new point will be exactly the same distance away from the mirror line as the original point.

3 Reflect the other points.

Here is a second point (1,4) being reflected to give its image.

We can reflect the third point (1,1) .

4 Finish the diagram.

Here Triangle Q is the image of Triangle P .

## Example 4: reflect a shape

Reflect Triangle P in the line y = 3 :

The mirror line is y = 3 (the line of reflection). This is a horizontal line. Draw this on the diagram.

Choose the first point to reflect. It is easier to start with a point which is closest to the mirror line (the line of reflection). Let’s reflect the point (3,2) . The new point will be exactly the same distance away from the mirror line as the original point.

We can reflect the third point (4,0) .

To finish the diagram we can join up the reflected points.

## How to describe reflections

In order to describe a reflection of a shape on a coordinate grid:

• Pair up the points.
• Identify the midpoints.
• Join the midpoints.
• State the equation of the line.

## Describing reflections examples

Example 5: describe a reflection.

Describe the transformation of Shape A to Shape B

Try to match up the corresponding point on the two shapes and draw a connecting line. Try to do this with more than one set of points.

2 Identify the midpoints.

Identify the midpoints of these connecting lines. This will help us to draw in the line of reflection.

3 Join the midpoints.

Draw a straight line through the midpoints.

4 State the equation of the line.

The equation of the line is y = 4 .

The transformation is a reflection in the line y = 4

## Example 6: describe a reflection

The equation of the line is y = x .

The transformation is a reflection in the line y = x

## Common misconceptions

• Overlapping shapes

The original shape (the object) and its reflection (the image) are allowed to overlap each other.

• Diagonal mirror line (the line of reflection)

Diagonal mirror lines can be tricky.  It is worth turning the diagram so that the mirror line is either horizontal or vertical to make the reflections easier to carry out.

• Describe transformations fully

When you are asked to describe a transformation make sure you state which kind of transformation it is and any other details. So for reflections we need to state that it is a reflection and give the equation of the line of reflection.

## Practice reflection maths questions

1. Reflect the shape in the line of reflection: The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line.

2. Reflect the shape in the line of reflection:

The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line. The object and the image should be congruent – the same shape and the same size.

3. Reflect the shape in the line y = 4 :

The line y = 4 is a horizontal line going through 4 on the y -axis. The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line.

4. Reflect the shape in the y axis:

The y -axis is the vertical axis. The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line. The object and the image should be congruent – the same shape and the same size.

5. Describe the transformation of Shape P to Shape Q

reflection in x=6

reflection in x=5

reflection in y=5

transformation in x=5

You must state that the transformation is a reflection. The line of reflection is a vertical line, so the equation is x=a , where a is a number. The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line.

6. Describe the reflection of Shape P to Shape Q

reflection in x -axis

reflection in y -axis

reflection in y=-x

reflection in y=x

The line of reflection is a diagonal line. The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line. The mirror line goes through the points (1,-1), (2,-2), (3,-3) and so on.

## Reflection maths GCSE questions

1. Reflect the shaded shape in the mirror line.

for correct reflection in the correct position

2. On the grid below, reflect the shape in the line with the equation x=1

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

Reflection in x -axis (or y=0 )

stating reflection

for giving the correct line of reflection

## Learning checklist

You have now learned how to:

• Reflect 2D shapes including polygons on grid
• Reflect 2D shapes including polygons on coordinate grid with x-axis and y-axis
• Identify properties of, and describe the results of reflections applied to given figures

## The next lessons are

• Pythagoras’ Theorem
• Trigonometry – including sine and cosine
• Linear equations

## Still stuck?

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