Pembinaan geometri satah

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Transcript of Pembinaan geometri satah

ENGINEERING DRAWINGActivity Book

Pembinaan Geometri Satah

• Membahagikan satu garisan kepada dua bahagian yang sama

ENGINEERING DRAWINGActivity Book

P R

d. Bisect line PR into two equal parts.

d. Bahagikan garis PR kepada dua bahagian yang sama.

1

ENGINEERING DRAWINGActivity Book

P R

d. Bisect line PR into two equal parts.

d. Bahagikan garis PR kepada dua bahagian yang sama.

1

With centre P and any radius greater than half PR, draw arcs above and below the line

ENGINEERING DRAWINGActivity Book

P R

d. Bisect line PR into two equal parts.

d. Bahagikan garis PR kepada dua bahagian yang sama.

1

With centre R draw arcs of the same radius to cut the previous ones

ENGINEERING DRAWINGActivity Book

P R

d. Bisect line PR into two equal parts.

d. Bahagikan garis PR kepada dua bahagian yang sama.

1

The line drawn through the intersections of the arcs will bisect the given line PR at S

S

ENGINEERING DRAWINGActivity Book

• Membahagikan garisan kepada lima bahagian yang sama

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

R

Draw line PR at any convenient angle to PQ

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

R

Step off along PR the required number of divisions (eg. 5). These may be of any convenient length, but equal

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

R

Step off along PR the required number of divisions (eg. 5). These may be of any convenient length, but equal

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

1

2

3

4

5R

Step off along PR the required number of divisions (eg. 5). These may be of any convenient length, but equal

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

1

2

3

4

5R

Joint the last number to point Q

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

1

2

3

4

5R

Draw lines parallel to this line from the other numbers. PQ is now divided into five equal parts

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

1

2

3

4

5R

Draw lines parallel to this line from the other numbers. PQ is now divided into five equal parts

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

1

2

3

4

5R

Draw lines parallel to this line from the other numbers. PQ is now divided into five equal parts

ENGINEERING DRAWINGActivity Book

2

P Q

a. Divide given line PQ into five equal parts.

a. Bahagikan garis PQ kepada lima bahagian yang sama.

1

2

3

4

5

FIVE EQUAL PARTS

R

Draw lines parallel to this line from the other numbers. PQ is now divided into five equal parts

ENGINEERING DRAWINGActivity Book

• Melukis garisan serenjang

ENGINEERING DRAWINGActivity Book

P

A B

a. Draw a straight line perpendicular to line AB at point P.

a. Lukiskan garis yang serenjang dengan garis AB pada titik P.

1

Mark the given point P

ENGINEERING DRAWINGActivity Book

P

A B

a. Draw a straight line perpendicular to line AB at point P.

a. Lukiskan garis yang serenjang dengan garis AB pada titik P.

1

With centre P and any convenient radius,

draw arcs to intersect at C and D

C D

ENGINEERING DRAWINGActivity Book

P

A B

a. Draw a straight line perpendicular to line AB at point P.

a. Lukiskan garis yang serenjang dengan garis AB pada titik P.

1

C D

With centres C and D and any convenient radius,

draw arcs to intersect at E

ENGINEERING DRAWINGActivity Book

P

A B

a. Draw a straight line perpendicular to line AB at point P.

a. Lukiskan garis yang serenjang dengan garis AB pada titik P.

1

C D

With centres C and D and any convenient radius,

draw arcs to intersect at E

E

ENGINEERING DRAWINGActivity Book

P

A B

a. Draw a straight line perpendicular to line AB at point P.

a. Lukiskan garis yang serenjang dengan garis AB pada titik P.

1

C D

E

A line drawn from E through the intersection

of the arcs is the perpendicular

ENGINEERING DRAWINGActivity Book

90°

P

A B

a. Draw a straight line perpendicular to line AB at point P.

a. Lukiskan garis yang serenjang dengan garis AB pada titik P.

1

C D

E

A line drawn from E through the intersection

of the arcs is the perpendicular ( 90˚ )

ENGINEERING DRAWINGActivity Book

• Membahagikan sudut kepada dua bahagian yang sama

• Membina sudut 60

ENGINEERING DRAWINGActivity Book

3

60°A B

30º

ENGINEERING DRAWINGActivity Book

3

60°A B

30º

ENGINEERING DRAWINGActivity Book

3

60°A B

30º

ENGINEERING DRAWINGActivity Book

3

60°A B

30º

30º

ENGINEERING DRAWINGActivity Book

• Membina bulatan terterap lilit segi tiga

ENGINEERING DRAWINGActivity Book

P

Q

R

d. Draw a circumscribed circle in the PQR triangle, as shown in figure 1d.

d. Lukiskan satu bulatan terterap lilit dalam pada segitiga PQR, seperti dalam rajah 1d.

1

Pe

nerb

itan

Pu

nca

k Ilm

u

ENGINEERING DRAWINGActivity Book

P

Q

R

d. Draw a circumscribed circle in the PQR triangle, as shown in figure 1d.

d. Lukiskan satu bulatan terterap lilit dalam pada segitiga PQR, seperti dalam rajah 1d.

1

Pe

nerb

itan

Pu

nca

k Ilm

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ENGINEERING DRAWINGActivity Book

P

Q

R

d. Draw a circumscribed circle in the PQR triangle, as shown in figure 1d.

d. Lukiskan satu bulatan terterap lilit dalam pada segitiga PQR, seperti dalam rajah 1d.

1

Pe

nerb

itan

Pu

nca

k Ilm

u

ENGINEERING DRAWINGActivity Book

P

Q

R

d. Draw a circumscribed circle in the PQR triangle, as shown in figure 1d.

d. Lukiskan satu bulatan terterap lilit dalam pada segitiga PQR, seperti dalam rajah 1d.

1

Pe

nerb

itan

Pu

nca

k Ilm

u

ENGINEERING DRAWINGActivity Book

P

Q

R

d. Draw a circumscribed circle in the PQR triangle, as shown in figure 1d.

d. Lukiskan satu bulatan terterap lilit dalam pada segitiga PQR, seperti dalam rajah 1d.

1

Pe

nerb

itan

Pu

nca

k Ilm

u

ENGINEERING DRAWINGActivity Book

• Membina bulatan terterap dalam segi tiga

ENGINEERING DRAWINGActivity Book

R

P FIGURE 2a RAJAH 2a

Q

2 a.

ENGINEERING DRAWINGActivity Book

R

P FIGURE 2a RAJAH 2a

Q

2 a.

ENGINEERING DRAWINGActivity Book

R

P FIGURE 2a RAJAH 2a

Q

2 a.

ENGINEERING DRAWINGActivity Book

R

P FIGURE 2a RAJAH 2a

Q

2 a.

ENGINEERING DRAWINGActivity Book

R

P FIGURE 2a RAJAH 2a

Q

2 a.

ENGINEERING DRAWINGActivity Book

R

P FIGURE 2a RAJAH 2a

Q

2 a.

ENGINEERING DRAWINGActivity Book

R

P FIGURE 2a RAJAH 2a

Q

2 a.

ENGINEERING DRAWINGActivity Book

R

P FIGURE 2a RAJAH 2a

Q

2 a.

ENGINEERING DRAWINGActivity Book

R

P FIGURE 2a RAJAH 2a

Q

2 a.

ENGINEERING DRAWINGActivity Book

• Membina segi tiga dengan diberi panjang tiga sisi

ENGINEERING DRAWINGActivity Book

A B

C

a. Construct a triangle as shown in figure 1a. Given base AB = 68mm, sides BC = 70mm and AC = 74mm.

a. Bina satu segi tiga seperti dalam rajah 1a. Diberi tapak AB = 68mm, sisi BC = 70mm dan AC = 74 mm.

A

FIGURE 1a RAJAH 1a

1

ENGINEERING DRAWINGActivity Book

A B

C

a. Construct a triangle as shown in figure 1a. Given base AB = 68mm, sides BC = 70mm and AC = 74mm.

a. Bina satu segi tiga seperti dalam rajah 1a. Diberi tapak AB = 68mm, sisi BC = 70mm dan AC = 74 mm.

A

FIGURE 1a RAJAH 1a

1

ENGINEERING DRAWINGActivity Book

A B

C

a. Construct a triangle as shown in figure 1a. Given base AB = 68mm, sides BC = 70mm and AC = 74mm.

a. Bina satu segi tiga seperti dalam rajah 1a. Diberi tapak AB = 68mm, sisi BC = 70mm dan AC = 74 mm.

A

FIGURE 1a RAJAH 1a

1

ENGINEERING DRAWINGActivity Book

A B

C

a. Construct a triangle as shown in figure 1a. Given base AB = 68mm, sides BC = 70mm and AC = 74mm.

a. Bina satu segi tiga seperti dalam rajah 1a. Diberi tapak AB = 68mm, sisi BC = 70mm dan AC = 74 mm.

A

FIGURE 1a RAJAH 1a

1

ENGINEERING DRAWINGActivity Book

A B

C

a. Construct a triangle as shown in figure 1a. Given base AB = 68mm, sides BC = 70mm and AC = 74mm.

a. Bina satu segi tiga seperti dalam rajah 1a. Diberi tapak AB = 68mm, sisi BC = 70mm dan AC = 74 mm.

A

FIGURE 1a RAJAH 1a

1

ENGINEERING DRAWINGActivity Book

A B

C

a. Construct a triangle as shown in figure 1a. Given base AB = 68mm, sides BC = 70mm and AC = 74mm.

a. Bina satu segi tiga seperti dalam rajah 1a. Diberi tapak AB = 68mm, sisi BC = 70mm dan AC = 74 mm.

A

FIGURE 1a RAJAH 1a

1

ENGINEERING DRAWINGActivity Book

A B

C

a. Construct a triangle as shown in figure 1a. Given base AB = 68mm, sides BC = 70mm and AC = 74mm.

a. Bina satu segi tiga seperti dalam rajah 1a. Diberi tapak AB = 68mm, sisi BC = 70mm dan AC = 74 mm.

A

FIGURE 1a RAJAH 1a

1

B

C

ENGINEERING DRAWINGActivity Book

• Membina segi tiga dengan diberi panjang dua sisi dan sudut.

ENGINEERING DRAWINGActivity Book

P Q

R

60°

b. Construct a triangle on base PQ,as shown in figure 1b. Given side PR = 58mm and base angle 60°.

b. Bina satu segi tiga pada tapak PQ, seperti dalam rajah 1b. Diberi PR = 58mm dan sudut tapak 60°.

P Q

FIGURE 1b RAJAH 1b

1

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ENGINEERING DRAWINGActivity Book

P Q

R

60°

b. Construct a triangle on base PQ,as shown in figure 1b. Given side PR = 58mm and base angle 60°.

b. Bina satu segi tiga pada tapak PQ, seperti dalam rajah 1b. Diberi PR = 58mm dan sudut tapak 60°.

P Q

FIGURE 1b RAJAH 1b

1

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ENGINEERING DRAWINGActivity Book

P Q

R

60°

b. Construct a triangle on base PQ,as shown in figure 1b. Given side PR = 58mm and base angle 60°.

b. Bina satu segi tiga pada tapak PQ, seperti dalam rajah 1b. Diberi PR = 58mm dan sudut tapak 60°.

P Q

FIGURE 1b RAJAH 1b

1

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ENGINEERING DRAWINGActivity Book

P Q

R

60°

b. Construct a triangle on base PQ,as shown in figure 1b. Given side PR = 58mm and base angle 60°.

b. Bina satu segi tiga pada tapak PQ, seperti dalam rajah 1b. Diberi PR = 58mm dan sudut tapak 60°.

P Q

FIGURE 1b RAJAH 1b

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cak

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ENGINEERING DRAWINGActivity Book

P Q

R

60°

b. Construct a triangle on base PQ,as shown in figure 1b. Given side PR = 58mm and base angle 60°.

b. Bina satu segi tiga pada tapak PQ, seperti dalam rajah 1b. Diberi PR = 58mm dan sudut tapak 60°.

P Q

FIGURE 1b RAJAH 1b

1

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ENGINEERING DRAWINGActivity Book

• Membina pentagon sekata dengan diberi panjang satu sisi

ENGINEERING DRAWINGActivity Book

A B

a. Draw a pentagon on AB as one side.

a. Lukis pentagon sekata dengan AB sebagai sisi.

1

Pen

erbi

tan

Pun

cak

Ilmu

ENGINEERING DRAWINGActivity Book

A B

a. Draw a pentagon on AB as one side.

a. Lukis pentagon sekata dengan AB sebagai sisi.

1P

ener

bita

n P

unca

k Ilm

u

ENGINEERING DRAWINGActivity Book

A B

a. Draw a pentagon on AB as one side.

a. Lukis pentagon sekata dengan AB sebagai sisi.

1P

ener

bita

n P

unca

k Ilm

u

45°

ENGINEERING DRAWINGActivity Book

A B

a. Draw a pentagon on AB as one side.

a. Lukis pentagon sekata dengan AB sebagai sisi.

1P

ener

bita

n P

unca

k Ilm

u

60°

45°

ENGINEERING DRAWINGActivity Book

A B

a. Draw a pentagon on AB as one side.

a. Lukis pentagon sekata dengan AB sebagai sisi.

1P

ener

bita

n P

unca

k Ilm

u

60°

45°

ENGINEERING DRAWINGActivity Book

A B

a. Draw a pentagon on AB as one side.

a. Lukis pentagon sekata dengan AB sebagai sisi.

1P

ener

bita

n P

unca

k Ilm

u

60°

45°

ENGINEERING DRAWINGActivity Book

A B

a. Draw a pentagon on AB as one side.

a. Lukis pentagon sekata dengan AB sebagai sisi.

1P

ener

bita

n P

unca

k Ilm

u

60°

45°

ENGINEERING DRAWINGActivity Book

A B

a. Draw a pentagon on AB as one side.

a. Lukis pentagon sekata dengan AB sebagai sisi.

1P

ener

bita

n P

unca

k Ilm

u

60°

45°

ENGINEERING DRAWINGActivity Book

A B

a. Draw a pentagon on AB as one side.

a. Lukis pentagon sekata dengan AB sebagai sisi.

1P

ener

bita

n P

unca

k Ilm

u

60°

45°

ENGINEERING DRAWINGActivity Book

• Membina pentagon sekata terterap lilit dalam bulatan

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

b. Draw a pentagon, within a given circle.

b. Lukiskan pentagon sekata di dalam bulatan yang diberi.

2

Pen

erbi

tan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

• Membina heksagon sekata dengan diberi jarak di antara rata

ENGINEERING DRAWINGActivity Book

a. Draw a regular hexagon. AB is distance across flats of the hexagon.

a. Lukis heksagon sekata. AB ialah jarak menyerong rata heksagon tersebut.

A B

3

Pen

erbi

tan

Pun

cak

Ilmu

ENGINEERING DRAWINGActivity Book

a. Draw a regular hexagon. AB is distance across flats of the hexagon.

a. Lukis heksagon sekata. AB ialah jarak menyerong rata heksagon tersebut.

A B

3

Pen

erbi

tan

Pun

cak

Ilmu

ENGINEERING DRAWINGActivity Book

30°

a. Draw a regular hexagon. AB is distance across flats of the hexagon.

a. Lukis heksagon sekata. AB ialah jarak menyerong rata heksagon tersebut.

A B

3

Pen

erbi

tan

Pun

cak

Ilmu

ENGINEERING DRAWINGActivity Book

30°

a. Draw a regular hexagon. AB is distance across flats of the hexagon.

a. Lukis heksagon sekata. AB ialah jarak menyerong rata heksagon tersebut.

A B

3

Pen

erbi

tan

Pun

cak

Ilmu

ENGINEERING DRAWINGActivity Book

30°

a. Draw a regular hexagon. AB is distance across flats of the hexagon.

a. Lukis heksagon sekata. AB ialah jarak menyerong rata heksagon tersebut.

A B

3

Pen

erbi

tan

Pun

cak

Ilmu

ENGINEERING DRAWINGActivity Book

30°

30°

a. Draw a regular hexagon. AB is distance across flats of the hexagon.

a. Lukis heksagon sekata. AB ialah jarak menyerong rata heksagon tersebut.

A B

3

Pen

erbi

tan

Pun

cak

Ilmu

ENGINEERING DRAWINGActivity Book

30°

30°

a. Draw a regular hexagon. AB is distance across flats of the hexagon.

a. Lukis heksagon sekata. AB ialah jarak menyerong rata heksagon tersebut.

A B

3

Pen

erbi

tan

Pun

cak

Ilmu

ENGINEERING DRAWINGActivity Book

30°

30°

a. Draw a regular hexagon. AB is distance across flats of the hexagon.

a. Lukis heksagon sekata. AB ialah jarak menyerong rata heksagon tersebut.

A B

3

Pen

erbi

tan

Pun

cak

Ilmu

ENGINEERING DRAWINGActivity Book

• Membina heksagon sekata dengan diberi jarak di antara penjuru

ENGINEERING DRAWINGActivity Book

C D

b. Draw a regular hexagon. CD is distance across corners of the hexagon.

b. Lukis heksagon sekata. CD ialah jarak menyerong sudut heksagon tersebut.

3

Pen

erb

itan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

C D

b. Draw a regular hexagon. CD is distance across corners of the hexagon.

b. Lukis heksagon sekata. CD ialah jarak menyerong sudut heksagon tersebut.

3

Pen

erb

itan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

C D

b. Draw a regular hexagon. CD is distance across corners of the hexagon.

b. Lukis heksagon sekata. CD ialah jarak menyerong sudut heksagon tersebut.

3

Pen

erb

itan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

C D

b. Draw a regular hexagon. CD is distance across corners of the hexagon.

b. Lukis heksagon sekata. CD ialah jarak menyerong sudut heksagon tersebut.

3

Pen

erb

itan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

C D

b. Draw a regular hexagon. CD is distance across corners of the hexagon.

b. Lukis heksagon sekata. CD ialah jarak menyerong sudut heksagon tersebut.

3

Pen

erb

itan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

C D

b. Draw a regular hexagon. CD is distance across corners of the hexagon.

b. Lukis heksagon sekata. CD ialah jarak menyerong sudut heksagon tersebut.

3

Pen

erb

itan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

C D

b. Draw a regular hexagon. CD is distance across corners of the hexagon.

b. Lukis heksagon sekata. CD ialah jarak menyerong sudut heksagon tersebut.

3

Pen

erb

itan

Pu

ncak

Ilm

u

ENGINEERING DRAWINGActivity Book

C D

b. Draw a regular hexagon. CD is distance across corners of the hexagon.

b. Lukis heksagon sekata. CD ialah jarak menyerong sudut heksagon tersebut.

3

Pen

erb

itan

Pu

ncak

Ilm

u