year 8 maths

404 Chapter 7 Linear relationships 1
8 The midpoint of a line segment (or interval) is the point that cuts the segment in half. Find the
midpoint of the line segment joining these pairs of points.
a (1, 3) and (3, 5)
b (−4, 1) and (−6, 3)
c (−2, −3) and (0, −2)
d (3, −5) and (6, −4)
e (−2.5, 1) and (2.5, 1)
f (−4, 1.5) and (0, 0.5)
9 List all the points, using only integer values of x and y that lie on the line segment joining these
pairs of points.
a (1, −3) and (1, 2)
b (−2, 0) and (3, 0)
c (−3, 4) and (2, −1)
d (−3, −6) and (3, 12)
10 If (a, b) is a point on a number plane, name the quadrant or quadrants that matches the given
description.
a a > 0 and b < 0
b a < 0 and b > 0
c a < 0
d b < 0
11 A set of points has coordinates (0, y) , where y is any number. What does this set of points
represent?
ENRICHMENT
– –
12, 13
Distances between points
12 Find the distance between these pairs of points.
a (0, 0) and (0, 10)
b (0, 0) and (−4, 0)
c (−2, 0) and (5, 0)
d (0, −4) and (0, 7)
e (−1, 2) and (5, 2)
f (4, −3) and (4, 1)
13 When two points are not aligned vertically or horizontally, Pythagoras’ theorem can be used to find
the distance between them. Find the distance between these pairs of points.
a (0, 0) and (3, 4)
b (0, 0) and (5, 12)
c (−3, −4) and (4, 20)
d (1, 1) and (4, −1)
e (−1, −2) and (2, 7)
f (−3, 4) and (3, −1)
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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