Targeting Grade C

1
GCSE Mathematics
Targeting Grade C
Transformations SSM2
2
C
C
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 tranlation
• 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
Practice 1
T/
T
Reflect Triangle T about the dotted line
Are you ready for the answer?
Remember reflection does not change shape or
length!
5
Practice 1
S
Are you ready for the answers?
Reflect shape S about the dotted line
What happens when you reflect in a diagonal line?
Hint look at the angles on the diagonal lines for
corresponding points.
6
Practice 2
T
Rotate Triangle T 90º Anticlockwise about
the centre
Remember to ask for tracing paper in the exam!
Are you ready for the answer?
7
Practice 2
T
Remember-3 things! centre of rotation, direction
of rotation and angle of rotation
Rotate Triangle T 180º anticlockwise,
about the centre
Are you ready for the answer?
8
Y 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
Try a question
8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7
A
C
X axis
-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
All y values are 1, so equation of line is y -1
B
Are you ready for the answers?
9
Practice 3
8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7
Translate A, 4 units left and 2 units
up. Translate B
A/
A
-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
Translation Same shape, same size, same
orientation
B/
B
Are you ready for the answers?
10
Enlargement
Practice 4
B
Are you ready for the answer?
Enlarge B Scale Factor 2
But where should it go on the grid????
What happens to lengths of sides? What happens to
shape?
11
Practice 4
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.
D
C
B
A
3.
2.
Shape E is the same shape as D, but the
corresponding sides are 4 times longer.
1.
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
Are you ready for the answers?
 
12
Y axis
5
G
Practice 4
X axis
10
5
Use the radial lines from the centre of
enlargement to position the enlargement. What
happens to shape? Sides?
Enlarge G Scale Factor ½ Centre of enlargement
the origin, (0,0)
Are you ready for the answer?
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?

• (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
Try a question
Hint Read the question carefully!! Answer fully
Are you ready for the answer? Remember there are
2 parts to describe an enlargement.
It is an enlargement, scale factor ½, centre of
enlargement (0,3)
16
Exam question
Are you ready for the answers?

• A
• E
• 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)

17
(No Transcript)