1. Targeting Grade C Transformations SSM2 GCSE Mathematics

2. CC The big picture

3. Practice 1: Reflection Practice 2: Rotation Try a question Practice 3: Translation Practice 4: Enlargement Practice 5: Combinations of transformations Exam questions Can you: Reflect a 2D shape in a line and state the equation of the line. Rotate a 2D shape about a point and state the angle, direction and centre of rotation. Try a question Translate a 2D shape and describe the translation Enlarge 2D shapes using positive scale factors Describe a single transformation that is equivalent to a combination of transformations Try a test If not you need

4. T Reflect Triangle ‘T’ about the dotted line Are you ready for the answer? T/T/ Remember reflection does not change shape or length! Practice 1

5. Reflect shape ‘S’ about the dotted line S What happens when you reflect in a diagonal line? Hint look at the angles on the diagonal lines for corresponding points. Are you ready for the answers? Practice 1

6. Rotate Triangle ‘T’ 90º Anticlockwise about the centre T Remember to ask for tracing paper in the exam! Are you ready for the answer? Practice 2

7. Rotate Triangle ‘T’ 180º anticlockwise, about the centre T Remember-3 things! centre of rotation, direction of rotation and angle of rotation Are you ready for the answer? Practice 2

8. -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 8 7 6 5 4 3 2 1 -2 -3 -4 -5 -6 -7 A B Y axis X axis Reflection and rotation only change position. 1. Draw the line of reflection for A to B. 2. State the equation of the line of reflection. 3. Rotate A, centre of rotation (0,0), 90º anticlockwise. Label C Are you ready for the answers? C All y values are –1, so equation of line is y = -1 Try a question

9. -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 8 7 6 5 4 3 2 1 -2 -3 -4 -5 -6 -7 A B Translate A, 4 units left and 2 units up. Translate B A/A/ B/B/ Are you ready for the answers? Translation : Same shape, same size, same orientation Practice 3

10. B Enlarge B Scale Factor 2 What happens to lengths of sides? What happens to shape? Are you ready for the answer? But where should it go on the grid???? Practice 4 Enlargement

11. 1. Work out the scale factors of each enlargement from A. 2. Start with D, work out each scale factor enlargement. 3. Shape E cannot be seen. From E shape D is a scale factor enlargement of ¼. Describe shape E. A B C D Practice 4 Are you ready for the answers? A to B is SF ½ A to C is SF 3 A to D is SF 2 D to A is SF ½ D to B is SF ½ D to C is SF 1 ½ Shape E is the same shape as D, but the corresponding sides are 4 times longer. 1. 2. 3.

12. G Enlarge G Scale Factor ½ Centre of enlargement the origin, (0,0) X axis Y axis 105 5 Are you ready for the answer? Use the radial lines from the centre of enlargement to position the enlargement. What happens to shape? Sides? Practice 4

13. Practice 5 (a) (i)Describe fully the single transformation that takes the shaded triangle to triangle A.(2)............................................................................................................... (ii)On the grid above translate the shaded triangle by 2 squares to the right and 4 squares down.(1) Are you ready for the answers? a)(i)A reflection in the line x = -1 (ii)Purple triangle

14. (b)Triangle P is an enlargement of the shaded triangle. (i)What is the scale factor of the enlargement? Answer......................................................... … (1) (ii)What is the centre of enlargement? Answer (...........................,.............................) (1) Are you ready for the answers? b(i) ½ (ii) (-2,-1)

15. Are you ready for the answer? Remember there are 2 parts to describe an enlargement. Hint Read the question carefully!! Answer fully Try a question It is an enlargement, scale factor ½, centre of enlargement (0,3)

16. Write down the letter of the triangle after the shaded triangle is reflected in the line x = 3 (1) After the shaded triangle is translated by 3 squares to the right and 5 squares down. (1) Describe fully the single transformation which takes triangle F on to triangle G (2) Exam question Are you ready for the answers? a)A b)E c)Reflection in the line x = -2