year 8 maths

8B
Translation
471
Example 3
Finding the translation vector
State the translation vector that moves the point A(−1, 3) to A′(2, 0) .
y
A
3
2
1
−1
O
−1
1 2
A′
3
x
SOLUTION
3
[ −3]
EXPLANATION
To shift A to A′ , move 3 units to the right and
3 units down.
Example 4
Drawing images using translation
−3
Draw the image of the triangle ABC after a translation by the vector [ 2] .
y
−3 −2
3
2
1
−1
O
−1
−2
−3
A
B
C
3
x
SOLUTION
EXPLANATION
A′
B′ −2
y
3
C′
2
1
A
−1
O
−1
−2
B
−3
C
3
x
First translate each vertex, A, B and C ,
3 spaces to the left, and then 2 spaces up.
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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