Cambridge International Mathematics

Coordinate geometry (Chapter 12) 257

QUADRANTS

Thexandy-axes divide the Cartesian plane into four regions

referred to asquadrants. These quadrants are numbered in an

anti-clockwise directionas shown alongside.

Example 1 Self Tutor

Plot the points A(3,5),B(¡ 1 ,4),C(0,¡3),D(¡ 3 ,¡2)and

E(4,¡2)on the same set of axes.

Example 2 Self Tutor

On a Cartesian plane, show all the points with positivex-coordinate

and negativey-coordinate.

EXERCISE 12A

1 State the coordinates of the points

J, K, L, M and N:

2nd

quadrant

1st

quadrant

4th

quadrant

3rd

quadrant

x

y

O

Start at O and move

horizontally first,

then vertically.

is positive

is negative

is positive

is negative.

!

Ã

"

#

-2

2

4

-2 2 4

y

x

B(-1' 4)

D(-3'-2)

A(3' 5)

C(0'-3)

E(4'-2)

O

-2

2

-2 2 4

y

x

J

M

K

L

-4

N

O

x

y

This shaded region contains all points

where is positive and is negative.

The points on the axes are not included.

xy

O

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y:\HAESE\IGCSE01\IG01_12\257IGCSE01_12.CDR Thursday, 25 September 2008 10:15:19 AM PETER