coursework

CREATED BY

NURUL HIDAYAH BT MOHAMAD NOR

NURUL KHALISA BT MOHAMED

NURUL SYAKILA BT AHMAD JAILANI

SITI WAN ZULAIKA BT WAN ABD RAHMAN

COORDINATION

Identify x-axis and y-axis

Y-axis

X-axis

0origin

Before draw the scale we should know about four quadrant.

This is quadrant I, quadrant II, quadrant III and quadrant I V.

Quadrant I refer to positive (+) where the x-axis and y-axis is positive.

Quadrant II refer to negative and positive where the x-axis is negative and y-axis is positive.

Quadrant III refer to negative(-) where the x-axis and y-axis is negative.

Quadrant IV refer to positive and negative where the x-axis is positive and y-axis is negative.

How to student identify coordinate?

x

QUADRANT I

y

QUADRANT II

QUADRANT III QUADRANT IV

Do you know more to understand?Look here!!

0 321

1

-2

-1

2

-1

-2

Every scale has desided in questionExample: Mark the values on the x-axis and the y-

axis on a Cartesian plane if the scale for the x-axis      is 1 : 2 and the scale for the y-axis is 1 : 5.

1 unit(1 cm in graph paper) on the x-axis represents 2 units

1 unit (1 cm in graph paper) on the y-axis represents 5 units .

How to know the scale x-axis and y-axis ?

Example: 1:2 for x-axis and 1:5 for y-axis

y

X0 2 4 6 8 10

5

15

10

-4 -2

-15

-10

-5-6

How to student plot the point? Start read the point by x-axisFor example: A(4,-1) =4 for x-axis and -1 for y-axis

Plotting point

1

-1 0 1

2

2

y

x

-2

-143

A(4,-1)

The distance between two points is the length of the straight line which joins the two points.

Find the distance two point?i. Points with common y-coordinates . The straight line which joins two points that have

the same y-coordinates is parallel to   the x-axis. Therefore, the distance between two points, with common y-coordinates is the difference between their x-coordinates.

ii. Points with common x-coordinates The straight line which joins two points that have

the same x-coordinates is parallel to the y-axis.  Therefore, the distance between two points with common x-coordinates is the difference between their y-coordinates.

Distance

x

y

1-1

0 2

-2

-1

21

-2 3

x-coordinates

y-coordinates

A

DC

B

A and B refer to common x-coordinates

C and D refer to common y-coordinates

How to calculate the distance?

Common x-coordinatesDistance between A and B

=2-(2)=2+2=4 units

Common y-coordinatesDistance between C and D

=2-(-1)=2+1=3 units

Please read at y-axis to calculate

common x-coordinate

Please read at y-axis to calculate

common x-coordinate

The distance between any two points with different x-coordinates and y-coordinates is the length of the straight line joining the two points.

The straight line is the hypotenuse of a right-angled triangle where its two other sides are  parallel to the x-axis and y-axis respectively.

How to find between two points using Pythagoras theorem?

c b

a

Formula=ab2= √(a-c)2+(c-b)2

Example

X

6

4

20

2

Y

64

c b

a

5 units

4 units

Hypotenuse

Formula=Ab2= √((a-c)2+(c-b)2 )ab2 = √((6-2)2+(6-1)2 ) = √(4)2 +(5)2 = √ 41

=6.4 units

Identify the midpoints of straight lines

The midpoint of a line joining two points is the point that divides the line into two equal parts

Midpoint

midpoint

a bx ||||

How to identify midpoints of a straight line joining two points a common y-coordinate and common x-coordinate

0

2

1

4321

Y

X

-1-2 -1

3

-2

|||| B(2,3)C(3,2)

A(-2,3)

D(3,-2)

Common y-coordinateMidpoint of AB(0,3)

Common x-coordinateMidpoint of CD(3,0)

ExampleCommon y-coordinationFind the coordination of the midpoint of a line

joining point A(-2,3) and B(2,3).SolutionX-coordinate for the midpoint = (-2+2)/2

= 0/2 = 0

Y-coordinate for the midpoint=3Therefore, the midpoint for the line AB is(0,3)

How to solve the question?

Example Common x-coordinateFind the coordination of the midpoint of a line

joining point C(3,2) and D(3,-2).Solutiony-coordinate for the midpoint = (2+(-2))/2

= 0/2 = 0

x-coordinate for the midpoint=3Therefore, the midpoint for the line AB is(3,0)

Coordinates of the midpoint of a line joining two points.

Midpoint = sum of x-coordinates , sum of y-coordinates

2 2

Can use this formula when coordinate at x-

coordinate and y-coordinate is not same

ExampleFind the coordinates of the midpoint of the

line joining S(3,1) T1,-5).SolutionX-coordinate of the midpoint = 3+1/2

=4/2=2Y-coordinate of the midpoint=1-(-5)/2=6/2=3Therefore, the coordinates of the midpoint of

line ST are(2,3)

Thank you