Targeting Grade C

1
GCSE Mathematics
Targeting Grade C
Shape and Space Unit 6 Transformations
2
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

3
TOP
Remember There are 4 different types of
transformations
Reflection (mirror image) requires a mirror
line, line of symmetry or equation of the line of
symmetry
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
Enlargement shape changes size (smaller or
larger) requires a scale factor and sometimes a
centre of enlargement
Translation this is simply a shift and
requires number of units to be moved left/right
and up/down
Lesson
4
Practice 1 Reflection
1.
Reflect the triangle in the x-axis. (Total 1
mark)
Next
5
Practice 1 Reflection
A quadrilateral is shown on the grid.
2.
(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)
Next
6
Practice 1 Reflection
3.
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) (Tot
al 4 marks)
Lesson
7
Practice 2 Rotation
1.
(a) On the grid, rotate triangle A 180 about
O. Label your new triangle B. (2)
Next
8
Practice 2 Rotation
2.
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)
Next
9
Practice 2 Rotation
3.
Rotate triangle T through 90 clockwise about the
point (2, 1). (Total 2 marks)
Lesson
10
TAIL 1
1.
(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)
Next
11
TAIL 1
Here are four road signs.
2.
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)
Next
12
TAIL 1
3.
(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)
Next
13
TAIL 1
4.
Lesson
14
Practice 3 Enlargement
1.
(b) Enlarge shape Q by a scale factor of
2. (2) (Total 3 marks)
Next
15
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
16
Practice 3 Enlargement
3.
On the grid, enlarge the shape with a scale
factor of 2. (2 marks)
Lesson
17
Practice 4 Translation
(a) Translate shape P 3 squares to the left and 2
squares down. (1)
Lesson
18
TAIL 2
1.
Draw an enlargement, scale factor 3, of the
shaded shape. (Total 2 marks)
Next
19
TAIL 2
2.
Enlarge the shaded triangle by a scale factor 2,
centre 0. (Total 3 marks)
Next
20
TAIL 2
3.

• Describe fully the single transformation that
  maps shape P onto shape Q.
• (ii) Reflect shape P in the line x
  1 (Total 5 marks)

Lesson