GCSE
Mathematics
Targeting Grade C
Transformations
SSM2
C
The
big picture
C
Can you:
If not you need
•Reflect a 2D shape in a line and state the
equation of the line.
Practice 1: Reflection
•Rotate a 2D shape about a point and state
the angle, direction and centre of rotation.
Try a question
Practice 2: Rotation
Try a question
Translate a 2D shape and describe the
translation
Practice 3: Translation
•Enlarge 2D shapes using positive scale
factors
Practice 4: Enlargement
•Describe a single transformation that is
equivalent to a combination of
transformations
Practice 5: Combinations of
transformations
Try a test
Exam questions
Practice 1
T
Reflect Triangle
‘T’ about the
dotted line
Are you ready for
the answer?
Remember reflection does not
change shape or length!
Practice 1
S
Reflect shape
‘S’ about the
dotted line
Are you
ready for
the
answers?
What happens when you reflect in a diagonal
line? Hint look at the angles on the diagonal
lines for corresponding points.
Practice 2
T
Rotate Triangle
‘T’ 90º
Anticlockwise
about the centre
Are you ready for the
answer?
Remember to
ask for
tracing paper
in the exam!
Practice 2
T
Rotate Triangle ‘T’
180º anticlockwise,
about the centre
Remember-3 things!
centre of rotation, direction of
rotation and angle of rotation
Are you ready for
the answer?
Y axis
C
Try a question
8
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
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.
A
1 2 3 4 5 6 7 8
B
3. Rotate A, centre of
rotation (0,0), 90º
anticlockwise. Label C
X axis
All y values are
–1, so equation
of line is y = -1
Are you ready for
the answers?
Practice 3
8
7
6
A/ 5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
-1
B/
-2
-3
-4
-5
-6
-7
Translate A,
4 units left and 2
units up.
Translate B
A
1 2 3 4 5 6 7 8
  5
 
3 
Translation:
Same shape, same size,
same orientation
B
Are you ready for
the answers?
Enlargement
Practice 4
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
1. Work out the scale
factors of each
enlargement from A.
D
C
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.
1.
Are you ready
for the
answers?
B
A
2.
A to B is SF ½
D to A is SF ½
A to C is SF 3
D to B is SF ½
A to D is SF 2
D to C is SF 1 ½
3.
Shape E is the
same shape as
D, but the
corresponding
sides are 4 times
longer.
5
Y axis
Practice 4
G
5
10
X axis
Use the radial lines from the
Enlarge G
Scale Factor ½
Centre of
enlargement the
origin, (0,0)
centre of enlargement to
position the enlargement.
What happens to shape? Sides?
Are you ready for the answer?
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
y
right and 4 squares down.
(1)
6
5
Are you ready for the
answers?
a)
4
A
3
2
(i)A reflection in the
line x = -1
(ii)Purple triangle
1
–5
–4
–3
–2
–1 O
–1
–2
–3
–4
1
2
3
4
5 x
(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)
y
6
b(i) ½
5
(ii) (-2,-1)
4
3
2
1
P
–5
–4
–3
–2
–1 O
–1
–2
–3
–4
Are you ready
for the
answers?
1
2
3
4
5 x
Try a question
Hint
Read the
question
carefully!!
Answer
fully
Are you ready for the
answer?
Remember there are
parts to describe an
enlargement.
It is an enlargement, scale factor ½, centre
of enlargement (0,3)
2
Exam question
Are you ready for
the answers?
a)
A
b)
E
c)
Reflection in
the line x = -2
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)