# Transformations

Transformations are ways in which shapes can be changed. In the main, we use enlargements, rotations, reflections and translations in GCSE although skew can play a part in the overall subject area.

Often the questions will ask for you to describe the single transformation that maps A to B. You will need to give the necessary information which includes the name of the transformation and then it varies.

Translation through the vector and then you give the change in x (either left or right) at the top of the vector. You will need to give the change in y (up or down)at the bottom of the vector.

Rotation clockwise or counter-clockwise through n degrees about the centre of rotation (x,y). You will need to obviously substitute n, x and y for the necessary values.

Reflection through y=... or x=... where you will need to give the equation of the line through which the original image is reflected. These tend to be x= a number, y= a number or y=x (if the mirror line runs diagonally from bottom left to top right) r y=-x if the mirror line runs diagonally from top left to bottom right

Enlargement by scale factor n from the centre of enlargement (x,y). The scale factor, n, is important here as it can be negative (if the image appears on the other side of the centre of enlargement) or fractional if the image is smaller than the original picture. They can, of course, be a combination of the pair of these. The centre of enlargement is the co-ordinates through which all the construction lines flow when enlarging a shape.

## Reflecting a kite

This involves reflecting a kite through a line of reflection or mirror line and giving the co-ordinates of each of the vertices.

## Co-ordinates practice

This involves reflecting a kite through a line of reflection or mirror line and giving the co-ordinates of each of the vertices. Finally, you need to give the co-ordinates of a reflected image.

## Knowledge of shapes

Use your knowledge of shapes to find the co-ordinates of the missing vertices.

## Practice in describing transformations

Describe single transformations fully to move one shape to the position of another. Includes translations, rotations, enlargements and reflections.

## Video showing how to enlarge a shape

This video shows how to enlarge a shape using a shape drawn on a plane piece of paper.

## Enlargement on a grid

This is best printed onto an A3 sheet of paper. There are three of four shapes that need enlarging. The video to the left shows you how you might do that.

## Enlargement Practice 2

This is best printed onto an A3 sheet of paper. There are three of four shapes that need enlarging. The video to the left shows you how you might do that.

## Enlargement Practice 3

This is best printed onto an A3 sheet of paper. There are three of four shapes that need enlarging. The video to the left shows you how you might do that.

## Co-ordinates in four quadrants

Practice of co-ordinates in all four quadrants.

## Enlargement on a grid example

This is an example of what to look for when doing an enlargement.

## Rotate and Reflect a kite

Reflect a kite through the mirror line, x=17 and give the co-ordinates. Rotate another kite round the point (17,7)and give the co-ordinates of the new positions of the vertices.

## GCSE exam type questions on transformations

Many exam type questions on transformations including reflection, rotation, enlargement and translation.

## Exam practice on transformations

Many exam type questions on transformations including reflection, rotation, enlargement and translation.

## Transformations using tracing paper

Key stage 2 questions on transformations

## Rotate an arrow about a point

Rotate the arrow about the point given. There is a PowerPoint presentation going through each of the answers to go with this worksheet.

## PowerPoint on rotate an arrow about a point

PowerPoint giving the answers to the worksheet on the immediate left. There are rudimentary videos to try to explain how the rotation works.

## Tranformation Assessment

Questions covering the four common transformations seen at GCSE level ie translation, rotation, reflection and enlargement.

## Translation Vectors

Work out the translation vectors to move from one shape to another.

## Transformations and Vectors Assessment

Assessment, mark scheme and examiners notes in order to provide as much support as possible for this subject area. It is useful to read the examiners notes as these point out common errors.

Transformations

## Negative Enlargements

Negative Enlargements

## Negative Enlargements

Negative Enlargements including I do, We do, You do

## Video on drawing an enlargement with negative scale factor

Video on drawing an enlargement with negative scale factor to work with lesson on negative enlargement sheets.