2 a Shade one more square to make a pattern with just one line of symmetry.

Transcription

1 GM2 End-of-unit Test Rotate the shape 80 about point P. P 2 a Shade one more square to make a pattern with just one line of symmetry. b Shade one more square to make a pattern with rotational symmetry of order 2. Original material Cambridge University Press 200

2 3 Draw the reflection of these shapes in the y-axis. Original material Cambridge University Press 200 2

3 4 Rotate these shapes as directed. Anticlockwise 90 about the origin Clockwise 90 about the point (, ) Original material Cambridge University Press 200 3

4 Reflect the shape in the line y = x. 6 The table shows some scaling ratios, with a scaled length and an actual length. Complete the table. Scaled length Scaling ratio Actual length cm : 20 m 9 cm : 2 : m cm 2. km : km 4 marks Original material Cambridge University Press 200 4

5 7 This is a map to a scale of : a Find the actual distance from A to B. km b D is 6 km due East of A. Plot accurately the position of D. Original material Cambridge University Press 200

6 8 Shape A has been mapped to shape B by a translation. Describe the translation as a column vector. 6 9 Translate this shape by. 4 Original material Cambridge University Press 200 6

7 0 Enlarge the shape by a scale factor of 3, using the point marked ( ) as the centre of enlargement. a Where is the centre of enlargement in these diagrams? Mark each centre of enlargement with a cross ( ). b Write down the scale factor of enlargement for each diagram. L-shapes: Triangles: Original material Cambridge University Press 200 7

8 2 Triangle B has been enlarged to become triangle A. Describe the enlargement fully. 3 Rotate the triangle 90 anticlockwise about the origin. Label the image B. Then reflect the image B in the line y = x. Label the image C. Describe fully the single transformation that maps A to C. END OF ASSESSMENT Original material Cambridge University Press 200 8

9 GM2 End-of-unit Test Teacher Guidance Units covered: GM2., GM2.2, GM2.3 Guide to Levels. Level Description Understanding reflection about a line on a grid Understanding rotation about a point Drawing and using scaled diagrams Working with map scales and ratios 6 Describing reflections and rotations Understanding translations as column vectors Understanding enlargement 7 Understanding enlargement with negative scale factor Describing combinations of transformations Answers Question Level Mark Answer Notes Rotation 2 a b Diagram Diagram square added square added 3 Reflect Reflect for reflected shape for reflected shape 4 Rotate Rotate for rotated shape for rotated shape Reflect for reflected shape m 20 cm : cm 7 a b km D plotted Translate for translated shape Enlarge for correctly enlarged shape; for enlarged by incorrect position a b Points 3, 2 for points correctly marked each Scale factor for mention of enlargement and 3, centre P Reflection in y-axis NB: Levels are approximate only. centre P, for correct scale factor for reflection for y-axis Original material Cambridge University Press 200 9

10 Suggested guidance on overall level based on performance: Level Level 6 Level 7 Total s 7 marks 2s 26 marks NB: Levels are approximate only. Original material Cambridge University Press 200 0