Line Segments & Ratios – Worksheet A
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B (9, 3)
Dividing a line Using Ratios
(0, 0)
A
X
(3, 1)
The line AB has been divided in the ratio 1:2 by the point X.
Complete the table for different lines & ratios.
Ratio
AX : XB
Point A
1
1:1
(0,0)
(8,8)
2
1:2
(0,0)
(6,3)
3
2:1
(0,0)
4
1:3
5
(0,0)
6
2:3
(2,4)
7
2:3
(4,6)
8
2:5
9
3:4
10
11
2:7
12
5:3
Point X
Point B
(4,2)
(3,3)
(12,12)
(2,2)
(10,10)
(12,14)
(8,12)
(11,14)
(−2,-2)
(21,29)
(19,33)
(−5, −9)
(−3, −3)
(−4, −10)
(2, −2)
(10, −8)
(4,18)
(19, −20)
B (9, 3)
Dividing a line Using Ratios
(0, 0)
A
X
(3, 1)
The line AB has been divided in the ratio 1:2 by the point X.
Complete the table for different lines & ratios.
Ratio
AX : XB
Point A
Point X
Point B
1
1:1
(0,0)
(4,4)
(8,8)
2
1:2
(0,0)
(2,1)
(6,3)
3
2:1
(0,0)
(4,2)
(6,3)
4
1:3
(0,0)
(3,3)
(12,12)
5
1:4
(0,0)
(2,2)
(10,10)
6
2:3
(2,4)
(6,8)
(12,14)
7
2:3
(4,6)
(8,12)
(14,21)
8
2:5
(7,8)
(11,14)
(21,29)
9
3:4
(−2,-2)
(7,13)
(19,33)
10
2:7
(−5, −9)
(−3, −3)
(4,18)
11
2:7
(−4, −10)
(2, −2)
(23,26)
12
5:3
(−5,12)
(10, −8)
(19, −20)
B (9, 3)
Dividing a line Using Ratios
(0, 0)
A
X
B (9, 3)
Dividing a line Using Ratios
(3, 1)
(0, 0)
A
X
(3, 1)
The line AB has been divided in the ratio 1:2 by the point X.
Complete the table for different lines & ratios.
The line AB has been divided in the ratio 1:2 by the point X.
Complete the table for different lines & ratios.
Ratio
AX : XB
Point A
Ratio
AX : XB
Point A
1
1:1
(0,0)
(8,8)
1
1:1
(0,0)
(8,8)
2
1:2
(0,0)
(6,3)
2
1:2
(0,0)
(6,3)
3
2:1
(0,0)
3
2:1
(0,0)
4
1:3
1:3
5
(0,0)
6
2:3
(2,4)
7
2:3
(4,6)
8
2:5
9
3:4
10
11
2:7
12
5:3
Point X
Point B
(4,2)
(3,3)
(12,12)
4
(2,2)
(10,10)
5
(12,14)
6
2:3
(2,4)
7
2:3
(4,6)
(21,29)
8
2:5
(19,33)
9
3:4
(4,18)
10
(8,12)
(11,14)
(−2,-2)
(−5, −9)
(−3, −3)
(−4, −10)
(2, −2)
(10, −8)
(19, −20)
(0,0)
11
2:7
12
5:3
Point X
Point B
(4,2)
(3,3)
(12,12)
(2,2)
(10,10)
(12,14)
(8,12)
(11,14)
(−2,-2)
(21,29)
(19,33)
(−5, −9)
(−3, −3)
(−4, −10)
(2, −2)
(10, −8)
(4,18)
(19, −20)
Questions?
Comments?
Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
Please feel free to email:
tom@goteachmaths.co.uk