Transformations - Shear
Name:
Class:
Date:
Mark
/8
1) Shear the triangle ABC from fixed line x-axis, by shear factor 1.
Give the coordinates of the image point A'
6
5
y
C
4
3
2
1
-1
B
A
1
2
3
4
5
6
x
-1
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%
[1]
2) Shear the triangle ABC from fixed line y-axis, by shear factor 2.
Give the coordinates of the image point B'
10
[1]
y
9
8
7
6
5
4
C
3
2
1
A
B
1
2
3
4
5
6
7
8
9 10
x
3) Fully describe the single transformation from the triangle ABC to its image
6
y
5
B
4
3
C
2
1
-2
-1
A
1
2
3
4
5
6
x
-1
-2
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[1]
4) Fully describe the single transformation from the triangle ABC to its image
3
[1]
y
2
1
-5
-4
-3
-2
-1
-1
A
-2
1
2
3
x
B
-3
-4
C
-5
5) Shear the shape by scale factor 2 from the dotted line
[1]
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6) Shear the shape by shear factor 2 using the y-axis as the fixed line
12
11
10
9
8
7
6
5
4
3
2
1
-2 -1
-1
1
2
3
4
5
6
7
8
9 10 11 12
-2
[1]
7) Shear the shape by shear factor 1.5 using the x-axis as the fixed line
13
12
11
10
9
8
7
6
5
4
3
2
1
-1
-1
1
2
3
4
5
6
7
8
9 10 11 12 13
[1]
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8) Shear the shape by shear factor 0.5 using the x-axis as the fixed line
7
6
5
4
3
2
1
-1
1
2
3
4
5
6
7
-1
[1]
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
Solutions for the assessment Transformations - Shear
1)
Shearing the triangle ABC from fixed line x-axis, by shear factor 1 gives image point A' = (1,1)
6
5
y
C
4
3
2
1
B
A
-1
1
2
3
4
5
6
x
-1
2)
Shearing the triangle ABC from fixed line y-axis, by shear factor 2 gives image point B' = (4,9)
10
y
9
8
7
6
5
4
C
3
2
1
A
B
1
2
3
4
5
6
7
8
9 10
x
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
3) shear from fixed line x-axis by shear factor 1
6
y
5
B
4
3
C
2
1
-2
-1
A
1
2
3
4
5
6
x
-1
-2
4) shear from fixed line y-axis by shear factor 1
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
5)
12
11
y
x
10
9
8
7
6
6)
5
4
3
2
1
-2 -1
-1
1
2
3
4
5
6
2
3
4
5
6
7
7
8
9 10 11 12
x
-2
y
13
12
11
10
9
8
7)
7
6
5
4
3
2
1
-1
-1
1
8
9 10 11 12 13
x
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
7
y
6
5
4
8)
3
2
1
-1
1
2
3
4
5
6
7
x
-1
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute