8 Coordinates Last Edited @ 08042011

8/4/2019 8 Coordinates Last Edited @ 08042011

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What are

coordinates ?

Coordinatesare one of the

many methodsof locating a

point on aplain surface

2


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Here are

someways of

describing

the

location 3


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about 100meters

east of our

class

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situated atabout 60 km

north ofKuching

City

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column 3and row 3

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Arfillia Steward

Athirah Aisyah

Calvin Ilyas

Amir Najmi

ElaniFaizieSazwan

Geogina Ahmat Sorfina

Wyne Azwa Stanley

AsyrafRonaldoAlyana

Column1

Column2

Column3

Column4

Column5

Blackboard

ow

1

ow2

ow

3

ow4

2 RUBYS

(2010)

SITTING PLAN

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The

Cartesian

Plane

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CARTESIAN PLANE.

y

x6 5 4 3 2 1 0 1 2 3 4 5 6

7

6

5

4

3

2

1

0

-1

-2

-3

-4

-5

-6

-7

xA(2, 3)

xB(3, 3)

xC(3, 0)

xD( 5, 2)

x

E ( 4, 4)x

F (0, 5)

xG(0, 0)

9

The Origin (0, 0)


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CARTESIAN PLANE.y

x6 5 4 3 2 1 0 1 2 3 4 5 6

7

6

5

4

3

2

1

0

-1

-2

-4

-5

-6

-7

-8

xA(2, 3)

xB(3, 4)

x

F( 3, 4)

xE( 6, 4)

xD (0, 5)

xC(3, 0)


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CARTESIAN PLANE.

y

x12 10 8 6 4 2 0 2 4 6 8 10 12

14

12

10

8

6

4

2

0

-2

-4

-6

-8

-10

-12

-14

xA(4, 6)

xB(6, 6)

x

F( 6, 6)

xE( 12, 8)

xD (0, 10)

xC(6, 0)

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Scale used

x - axis is 1 : 2

y - axis is 1 : 2


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CARTESIAN PLANE.

y

x12 10 8 6 4 2 0 2 4 6 8 10 12

18

15

12

9

6

3

0

-6

-9

-12

-15

-18

-21

-14

xA(4, 9)

xB(6, 12)

x

F( 6, 12)

xE( 12, 12)

xD (0, 15)

xC(6, 0)

xG (6, x )(6, 21)

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x - axis is 1 : 2

y - axis is 1 : 3

Scale used


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THE

DISTANCEBETWEEN

TWO POINTS

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The DistanceBetween Two

points on The

CartesianPlane

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R(1, 4)xP(4, 0)x

x

y

5 4 3 2 1 0 1 2 3 4 5

5

4

3

2

1

1

2

3

4

5

and

Find the distance between :

PR = units2 24 3 16 9 25 5

4

3

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Q(1, 4)x

P(4, 0)x x

y

5 4 3 2 1 0 1 2 3 4 5

5

4

3

2

1

1

2

3

4

5

Find the distance between P(4, 0) and Q(1, 4)

PQ = 2 2

1 4 4 0

PQ = 22 43

PQ = 169

PQ = 25PQ = units5

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THE

COORDINATESOF

A

MIDPOINT

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To find the

coordinates of

the midpointof a line

joining twopoints on the

Cartesian

Plane . 18


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P(1, 5) and Q(5, 1)

x

y

5 4 3 2 1 0 1 2 3 4 5

5

4

3

2

1

1

2

3

4

5

What are the coordinates of the

mid-point of a line joining :

P(1, 5)

Q(5, 1)

(3, 3)

1 + 5 5 1he mid point of PQ ,2 2

6 6,

2 2

3, 3

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P(2, 6) and Q( 4, 2)

x

y

5 4 3 2 1 0 1 2 3 4 5

5

4

3

2

1

1

2

3

4

5



P(2, 6)

Q( 4, 2)

( 1, 4)

2

26,

2

24

The coordinates of the mid-point of PQ

2

8,

2

2 4,1

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P( 3, 3) and Q(5, 3)

x

y

5 4 3 2 1 0 1 2 3 4 5

5

4

3

2

1

1

2

3

4

5



P( 5, 3)

Q( 3, 3)

(1, 0)

2

33,

2

53


2

0,

2

2 0,1

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5 4 3 2 1 0 1 2 3 4 5

P( 2, 4) and Q(4, 6)

x

y5

4

3

2

1

1

2

3

4

5



P( 4, 6)

P( 2, 4) (1, 5)

2

64,

2

42


2

10,

2

2 5,1

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10 8 6 4 2 0 2 4 6 8 10

P( 8, 12) and Q(4, 6)

x

y15

12

9

6

3

3

6

9

12

15



Q(4, 6)

P( 8, 12)

2

612,

2

48


2

6,

2

4 3,2

( 2, 3)

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The End

8 Coordinates Last Edited @ 08042011

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