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Shape and Space Unit 3: Transformations

In this unit, we shall investigate the effect of simple transformations to shapes. In particular, we will examine translations, reflections, rotations and enlargements.

Before you start this unit you will need to feel confident about describing the equations of straight line graphs. If you are unsure about these ideas, please refresh them first.

Unit 3.1: Translating images.
Unit 3.2: Reflecting images when the line is given.
Unit 3.3: Finding the equation of the line of reflection.
Unit 3.4: Rotating images given the rotation point, sense and angle.
Unit 3.5: Finding the centre of rotation.
Unit 3.6: Enlarging images.
Unit 3.7: Finding the centre of enlargement.

Learning Objectives

In this unit the student will be able to

  • Decide which type of transformation has been applied.
  • Transform images according to the information given.
  • Find the vector of translation.
  • Find the sense, angle and centre point of rotation.
  • Find the equation of the line of reflection.
  • Find the centre point of an enlargement and the scale factor.

Before proceeding with this section, you should refresh some of the ideas you met earlier.

As an easy warm up try this simple question.Click here to check yourself on previous material.

To get a basic introduction to the subject, click here

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