year 8 maths

8B
Translation
473
Example 4
6 Copy the diagrams and draw the image of the shapes translated by the given vectors.
2
4
−3
a
b
c
[ 3]
[ −2]
[ 1]
y
y
y
O
x
O
x
O
x
d
0
[ −3]
e
−4
[ −1]
f
−3
[ 0]
y
y
y
O
x
O
x
O
x
7 Write the coordinates of the image of the point A(13, −1) after a translation by the given vectors.
2
8
0
−4
a
b
c
d
[ 3]
[ 0]
[ 7]
[ 3]
e
i
−2
[ −1]
12
[ −3]
f
j
−10
[ −5 ]
−26
[ 14]
g
k
−2
[ −8]
−4
[ 18]
h
l
6
[ −9]
−21
[ −38]
PROBLEM-SOLVING AND REASONING
8, 9, 11 8, 9, 11
9–12
8 Which vector from each set takes an object the greatest distance from its original position?
You may need to draw diagrams to help, but you should not need to calculate distances.
a
−1
[ 3] , 0
[ 3] , 7
[ 0]
b
−1
[ −4] , 4
[ 0] , 0
[ 3]
2
9 A car makes its way around a city street grid. A vector represents travelling 200 m east and
[ 3]
300 m north.
a
Find how far the car travels if it follows these vectors:
2
[ 3] , −5
[ 1] , 3
[ −3] and −2
[ −4]
b What vector takes the car back to the origin (0, 0) , assuming it started at the origin?
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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