Transformations - Enlargement
Name:
Class:
Date:
Mark
/8
1) Enlarge the triangle ABC from centre (-1,-2) by scale factor 2.
Give the coordinates of the image point A'
13
y
12
11
10
9
8
7
6
5
C
4
3
2
1
-3 -2 -1
-1
B
A
1
2
3
4
5
6
7
8
9 10 11 12 13
x
-2
-3
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
%
[1]
2) Enlarge the triangle ABC from centre (0,0) by scale factor 0.5.
Give the coordinates of the image point A'
3
[1]
y
2
1
-5
-4
-3
-2
-1
-1
A
1
2
-2
3
x
B
-3
-4
C
-5
3) Fully describe the single transformation from the triangle ABC to its image
4
y
3
A
-6 -5 -4 -3 -2 -1
C
2
1
-1
B
1
2
3
4
x
-2
-3
-4
-5
-6
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
[1]
4) Fully describe the single transformation from the triangle ABC to its image
5
B
C
[1]
y
4
3
2
A
1
-7 -6 -5 -4 -3 -2 -1
-1
1
2
3
4
5
x
-2
-3
-4
-5
-6
-7
5) Enlarge the shape by scale factor 3 about the centre marked with a cross.
[1]
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
6) Enlarge the shape from centre (0,0) by scale factor 3.
9
8
7
6
5
4
3
2
1
-3 -2 -1
-1
-2
-3
1
2
3
4
5
6
7
8
9
[1]
7) Enlarge the shape from centre (0,0) by scale factor 3.
9
8
7
6
5
4
3
2
1
-3 -2 -1
-1
-2
-3
1
2
3
4
5
6
7
8
9
[1]
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
8) Enlarge the shape from centre (0,-1) by scale factor 0.5.
5
4
3
2
1
-2
-1
1
2
3
4
5
-1
-2
[1]
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
Solutions for the assessment Transformations - Enlargement
1)
Enlargement from centre (-1,-2) by scale factor 2 gives image point A' = (1,4)
13
y
12
11
10
9
8
7
6
5
C
4
3
2
1
-3 -2 -1
-1
B
A
1
2
3
4
5
6
7
8
9 10 11 12 13
x
-2
-3
2)
Enlargement from centre (0,0) by scale factor 0.5 gives image point A' = (0,-0.5)
3
y
2
1
-5
-4
-3
-2
-1
-1
A
-2
1
2
3
x
B
-3
-4
C
-5
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
3) enlargement scale factor 2 centre (1,0)
4
y
3
2
A
1
-6 -5 -4 -3 -2 -1
C
B
1
-1
2
3
4
x
-2
-3
-4
-5
-6
4) enlargement scale factor 1.5 centre (0,1)
5
B
C
y
4
3
2
A
1
-7 -6 -5 -4 -3 -2 -1
-1
1
2
3
4
5
x
-2
-3
-4
-5
-6
-7
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
5)
x
9
y
8
7
6
5
6)
4
3
2
1
-3 -2 -1
-1
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
x
-2
-3
9
y
8
7
6
5
4
7)
3
2
1
-3 -2 -1
-1
x
-2
-3
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
5
y
4
3
2
8)
1
-2
-1
1
2
3
4
5
x
-1
-2
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute