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• Co-ordinate patterns • • • • ••••••••• ••••

~1:1-M:410~ In graphs showing co-ordinates, the horizontal axis is called the X-axis ~=M•l:410~
and the vertical axis is called the Y -axis.
PAGE 66 · ![TI Complete this table for the grid on the right. PAGE 67
point x y y
I
a
.'~L' '. ··
b
c
d 9 4 ~ ~a ..
;:,, 3 • . ' t'l: ~;1 · i .
2 •
1 • b ~-:- t s l ..- .. ,. D
0 x •-c·· ; T3l lJ
0 1 2 3 4 5 6 7 8 9 10 -4 - .;..
X-<lXfS :?~~1- -~ -J _ , rJ :-~B- ·
rn -· _ 1 Remember that the "co-ordinates in the tables are ~i the mcirke_~.~~-rtices. x ~
0
0
•
~ --:--~ ""
0 1 .2 3 + 5 6 I B 9 10 n . : ..•.
0 1 2. 3 4 5 6 7 8.. 9 10 1'1 ,_ • _ _ _
point x y
a 5 4
b q 1
c 1 8
d 10 q

Challenge
The co-ordinates of shape 10 will be the original co-ordinates plus
Grid A goes with table 2.
q translations.
Grid B goes with table 4.
Grid C goes with table 1. In table 1 the x-co-ordinate increases by 2 and they-co-ordinate
Grid D goes with table 3. stays the same, so the x-co-ordinate will be 1 + q x 2 = 1 q and the
y-co-ordinate will be 2. Shape 10 (1q,2)
In table 2 the x-co-ordinate increases by 2 and the y-co-ordinate
increases by 1 , so the x-co-ordinate will be 1 + q x 2 = 1 q and the
a Table 1 Table 2 Table 3 Table 4
y-co-ordinate will be 2 + q x 1 = 11. Shape 10 ( 1q,1 1)
shape 5 (q,2) shape 5 (q,6) shape 5 ( 13,6) shape 5 (5, 1 O)
shape 6 (11,2) shape 6 (11,7) shape 6 ( 16,7) shape 6 (6, 12) In table 3 the x-co-ordinate increases by 3 and they-co-ordinate
increases by 1, so the x-co-ordinate will be 1 + q x 3 = 28 and the
b Grid A: right 2 and up 1.
Grid B: right 1 and up 2. y-co-ordinate will be 2 + qx 1 = 11 . Shape 10 (28, 11)
Grid C: right 2. In table 4 the x-co-ordinate increases by 1 and they-co-ordinate
Grid D: right 3 and up 1. increases by 2, so the x-co-ordinate will be 1 + q x 1 = 10 and the
y-co-ordinate will be 2 + q x 2 = 20. Shape 10 ( 10,20)
c The amount the shape moves right with each translation corresponds to
the difference between the x-co-ordinates in the table. The amount the
shape moves up with each translation corresponds to the difference
between they-co-ordinates.