Targeting Grade C Shape and Space Unit 6 Transformations GCSE Mathematics

TOP The 4 transformations Practice 1 Reflection Practice 2: Rotation TAIL 1 Practice 3: Enlargement Practice 4: Translation TAIL 2 Can you... Understand the 4 transformations Understand Reflection Understand Rotation Try a test Understand Enlargement Understand Translation Try a test If not you need

Translation – this is simply a shift and requires number of units to be moved left/right and up/down Remember: There are 4 different types of transformations Enlargement – shape changes size (smaller or larger); requires a scale factor and sometimes a centre of enlargement Rotation – shape turns round but stays the same size; requires the degree and direction of the rotation with a point which is the centre of rotation TOP Reflection – (mirror image) requires a mirror line, line of symmetry or equation of the line of symmetry Lesson

Reflect the triangle in the x-axis.(Total 1 mark) Practice 1: Reflection 1. Next

Practice 1: Reflection 2. Next A quadrilateral is shown on the grid. (a)Write down the mathematical name of this quadrilateral.(1) (b)Reflect the quadrilateral in the line AB.(2) (c)Write down the coordinates of the point B.(1) (Total 4 marks)

Triangle A and triangle B have been drawn on the grid. (a)Reflect triangle A in the line x = 3. Label this image C.(2) (b)Describe fully the single transformation which will map triangle A onto triangle B.(2) (Total 4 marks) 3. Practice 1: Reflection Lesson

(a) On the grid, rotate triangle A 180° about O. Label your new triangle B.(2) Practice 2: Rotation 1. Next

Shape A is rotated 90° anticlockwise, centre (0, 1), to shape B Shape B is rotated 90° anticlockwise, centre (0, 1), to shape C Shape C is rotated 90° anticlockwise, centre (0, 1), to shape D (a)Mark the position of Shape D(2) (b)Describe the single transformation that takes shape C to shape A.(2) (Total 4 marks) Practice 2: Rotation 2. Next

Practice 2: Rotation Rotate triangle T through 90° clockwise about the point (2, 1). (Total 2 marks) 3. Lesson

(a) Reflect triangle R in the line AB. Label the new triangle S.(1) (b) Rotate triangle R a half turn about the point O. Label the new triangle T.(2) (Total 3 marks) TAIL 1 1. Next

Here are four road signs. Two of these road signs have one line of symmetry. (a) Write down the letters of each of these two road signs.(2) Only one of these four road signs has rotational symmetry. (b)(i) Write down the letter of this road sign. (ii) Write down its order of rotational symmetry.(2) (Total 4 marks ) TAIL 1 2. Next

(a)Find the area of the shaded shape(2) (b)Find the perimeter of the shaded shape.(1) (c)Reflect the shaded shape in the dotted line.(2) (Total 5 marks) TAIL 1 3. Next

(a)Reflect triangle P in the line AB. Label the new shape Q. (1) (b)Rotate triangle P turn clockwise, centre O. Label the new shape R.(2) (Total 3 marks) TAIL 1 4. Lesson

Practice 3: Enlargement 1. (b) Enlarge shape Q by a scale factor of 2.(2) (Total 3 marks) Next

Practice 3: Enlargement 2. (a) Work out the area of the rectangle (1) The rectangle is enlarged by a scale factor 2. (b) Work out the area of the enlarged rectangle.(2) (Total 3 marks) Next

Practice 3: Enlargement On the grid, enlarge the shape with a scale factor of 2.(2 marks) 3. Lesson

(a)Translate shape P 3 squares to the left and 2 squares down. (1) Practice 4: Translation Lesson

Draw an enlargement, scale factor 3, of the shaded shape.(Total 2 marks) TAIL 2 Next 1.

Enlarge the shaded triangle by a scale factor 2, centre 0.(Total 3 marks) TAIL 2 Next 2.

(i)Describe fully the single transformation that maps shape P onto shape Q. (ii) Reflect shape P in the line x = 1(Total 5 marks) TAIL 2 3. Lesson