Vectors and Translations
Vectors and Translations GCSE Mathematics FG20 HG24
Show the image of the rectangle ABCD under the translation Mark the image A’B’C’D’. 9 8
D
C
A
B
7 6 5 4 3 2 1 -8
-7
-6
-5
-4
-3
-2
-1 0
0 -1
1
2
3
4
5
6
7
8
-2 -3 -4 -5 -6 -7
Draw the image of the triangle A after the translation Label the image B. 9 8 7 6 5 4 3 2
A -8
-7
-6
-5
-4
-3
-2
1
-1 0
0 -1
-2 -3 -4 -5 -6 -7
1
2
3
4
5
6
7
8
(
-5 -3
(
2.
.
(
3 -6
(
1.
.
Vectors and Translations GCSE Mathematics FG20 HG24
3. The vertices of triangle ABC are A (-1, 1) B (-4, 1) and C (-3, 3). The coordinates of the image of triangle A’B’C’ are A’ (5,-3) B’ (2,-3) and C’ (3,-1). Describe the single transformation that will transform triangle ABC into A’B’C’.
Complete the following:
Triangle …… has been translated by vector
(
-5 4
(
4.
onto triangle ……..
9 8 7 6
B
5
A
4 3 2 1
-8
-7
-6
-5
-4
-3
-2
-1 0
0 -1
-2 -3 -4
D
-5 -6 -7
C 1
2
3
4
5
6
7
8
Show the image of the rectangle ABCD under the translation Mark the image A’B’C’D’. 9 8
D
C
A
B
7 6 5 4 3 2 1 -8
-7
-6
-5
-4
-3
-2
-1 0
0 -1
1
2
3
4
5
6
7
8
-2 -3 -4 -5 -6 -7
Draw the image of the triangle A after the translation Label the image B. 9 8 7 6 5 4 3 2
A -8
-7
-6
-5
-4
-3
-2
1
-1 0
0 -1
-2 -3 -4 -5 -6 -7
1
2
3
4
5
6
7
8
(
-5 -3
(
2.
.
(
3 -6
(
1.
.
Vectors and Translations GCSE Mathematics FG20 HG24
3. The vertices of triangle ABC are A (-1, 1) B (-4, 1) and C (-3, 3). The coordinates of the image of triangle A’B’C’ are A’ (5,-3) B’ (2,-3) and C’ (3,-1). Describe the single transformation that will transform triangle ABC into A’B’C’.
Complete the following:
Triangle …… has been translated by vector
(
-5 4
(
4.
onto triangle ……..
9 8 7 6
B
5
A
4 3 2 1
-8
-7
-6
-5
-4
-3
-2
-1 0
0 -1
-2 -3 -4
D
-5 -6 -7
C 1
2
3
4
5
6
7
8
