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�3 15.1 Using translations
327A
1 Describe, in words, the meaning of each of these column vectors.
a 13
...................................................................................................................................................................................................................
b 45
...................................................................................................................................................................................................................
c −
21 ................................................................................................................................................................................................................
d 32−
................................................................................................................................................................................................................
e −
45 ................................................................................................................................................................................................................
f −−
14 ................................................................................................................................................................................................................
g 32−
................................................................................................................................................................................................................
h 21
...................................................................................................................................................................................................................
2 Translate each shape as requested.
a 30
b
02
c 04–
Guided practice worksheet
C
Questions are targeted at the grades indicated
�3 15.1 Using translations
327B
3 Translate each shape as requested.
a 31–
b
–22
c ––
42
4 Describe the translations that have moved shape A to shape B.
a b
c d
e f
Guided practice worksheet
Use a column vector as a description.
A
B
A
B
B
A
A
B
A
B
B
A
C
�3 15.2 Transforming shapes using re� ections
329A
1 In each shape draw in one line of symmetry.
a b c
d e f
2 In each shape draw in all lines of symmetry.
a b c
d e f
3 Draw the re� ection in the line of symmetry.
a b c
d e f
Guided practice worksheet Questions are targeted at the grades indicated
�3 15.2 Transforming shapes using re� ections
329B
4 Draw the re� ection in the line of symmetry.
a b
c d
e
Guided practice worksheet
�3 15.3 Transforming shapes using rotations
331A
1 Which of these shapes have rotational symmetry?
a b c
d e f
g h i
j
.................................................................................................................................
2 Write down the order of rotational symmetry of each of these shapes.
a b c
................................................... .................................................... ....................................................
d e f
................................................... .................................................... ....................................................
AB
GH
D
C
E
F
J
I
Guided practice worksheet Questions are targeted at the grades indicated
�3 15.3 Transforming shapes using rotations
331B
g h i
................................................... .................................................... ....................................................
3 Rotate each of these shapes as requested, about the origin.
a b c
d e f
Guided practice worksheet
y
x
y
x
y
x
Rotation90˚ clockwise
Rotation180˚
Rotation90˚ anticlockwise
y
x
y
x
y
x
Rotation180˚
Rotation90˚ anticlockwise
Rotation90˚ clockwise
D
�3 15.4 Enlargements and scale factors
333A
1 Enlarge each of these shapes by the stated scale factor.
a b
c d
e f
SF 2
SF 2
SF 3
SF 3
Guided practice worksheet
SF 3 SF 2
Questions are targeted at the grades indicated
�3 15.4 Enlargements and scale factors
333B
g h
2 Enlarge each of these shapes by a scale factor 2, using the origin as the centre of enlargement.
a b
c d
SF 3 SF 2
Guided practice worksheet
0 0
0 0
�3 15.4 Enlargements and scale factors
333C
3 Use the lines to draw an enlargement of this shape from point P, of scale factor 3.
4 Use the lines to draw an enlargement of this shape from the origin (0,0), of scale factor –2.
5 Enlarge this shape by a scale factor 2 (a) from point A (b) from point B.
P
A
B
Guided practice worksheet
D
�3 15.4 Enlargements and scale factors
333D
6 The smaller triangle has been enlarged to give the larger triangle.
a By what scale factor has it been enlarged?..................................................................
b Find the centre of enlargement.
y
0 2
2
x1
1
3
3
4
4
5
5
6
6
7 8 9 10
Guided practice worksheet
D
1 a Reflect this shape in the x-axis. b Start with the same diagram. Reflect this shape Call the answer B. in the y-axis. Call the answer B.
Then reflect B in the y-axis. Then reflect B in the x-axis.Call the answer C. Call the answer C.
c Do a and b give you the same result? ..................................................................
d What could you do to move directly from A to C in one step?..................................................................
2 a Rotate this shape 90° clockwise. b Start with the same diagram. Rotate this shape Call the answer B. 90° anticlockwise. Call the answer B.
Then rotate B 90° clockwise. Then rotate B 90° anticlockwise.Call the answer C. Call the answer C.
c Do a and b give you the same result? ..................................................................
d What could you do to move directly from A to C in one step? ..................................................................
�3 15.5 Combinations of transformations
335
y
x
y
x
y
x
y
x
Guided practice worksheet
C
Questions are targeted at the grades indicated
