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Transformation - Translation, Reflection, Rotation, Enlargement

We have a collection of videos to help GCSE Maths students learn about different types of Transformation: Translation, Reflection, Rotation and Enlargement.

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More GCSE Maths Topics, Transformation Games and Activities


We translate a shape by moving it up or down or from side to side, but its appearance does not change in any other way. When we translate a shape, each of the vertices must be moved in exactly the same way.

This video shows how to transform a shape using a given vector.
GCSE foundation maths transformations translating shape.


When we reflect a shape, we 'flip' it over a line of symmetry or 'mirror'.

GCSE Maths transformations: Reflections made easy in horizontal and vertical lines
Understand simply how to reflect shapes in vertical and horizontal lines. The trick is in understanding the equations of the horizontal and vertical lines. Reflections to help with GCSE mathematics, one in a line of the form x=a another in a line of the form y=b.
Reflection on a coordinate plane over the x-axis and y-axis.



When we rotate a shape, we turn it a certain number of degrees around a fixed point.

GCSE transformation: Rotations about the origin.
Transformations - Rotate 90 degrees
Rotating a polygon around the origin.


When describing enlargement, we must state the scale factor and the centre of enlargement.

GCSE transformations: enlargement by positive and negative scale factor
GCSE mathematics revision help. An example on how to enlarge a shape by a positive and negative scale factor for GCSE revision. A scale factor of 2 and -2 is chosen.
Enlargement Fractional and Negative Scale Factors GCSE Maths revision Exam paper practice & help.


Translation, reflection, rotation and enlargement

Three transformations from GCSE mathematics
Reflection, rotation and enlargement from GCSE mathematics, foundation level. Errata: the line drawn is x=4 and not y=4.
Transformations: Translation and Enlargement D Grade.

GCSE Math AQA Q6 Higher Paper 1 June 2007
Describe the transformation and draw the image
The diagram shows two triangles, A and B.
(a) Describe fully the single transformation that maps triangle A onto triangle B.
(b) On the diagram, draw an image of triangle after it is reflected in the line y=x. Label your image C.
GCSE Maths: Transformations - translation, reflection, rotation, enlargement.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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