pembinaan geometri satah
TRANSCRIPT
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
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
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
Pen
erbi
tan
Pun
cak
Ilmu
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
Pen
erbi
tan
Pun
cak
Ilmu
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
Pen
erbi
tan
Pun
cak
Ilmu
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
Pen
erbi
tan
Pun
cak
Ilmu
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
Pen
erbi
tan
Pun
cak
Ilmu
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