Page 275 - MATHEMATICS COURSE FOR SECONDARY SCHOOLS BOOK 2

(a) Plot the points A(2, 1 )and B(7, 4) on graph paper, then complete a right-angled triangle indicating the movement from A to B.
y
5
4 3
2 1
0
(b) Plot the points P(2, 5 )and Q(10, 2) on graph paper, then complete a right-angled triangle indicating the movement from P to Q.
B
From the graph.
A5
1 2 3 4 5 6 7 8 9 10
x
AB=(53 ) 3
y
5
4 3
2 1
0
(c) Plot the points M(9, 6 )and N(3, 2) on graph paper, then complete a right-angled triangle indicating the movement from M to N.
P
8
From the graph. PQ= ( 8 )
x
y
6 5
3 2 1
0
-6
M
1 2 3 4 5 6 7 8 9 10
B
-3
-3
Q
MN=(-6 ) 4-4 -4
From the graph.
N
1 2 3 4 5 6 7 8 9 10 269
x
AB = √ 34 units AB =( 53 )
AB =( 38 ) PQ = √ 73 units
-6 -3
MN =( ) MN = √ 52 units