Download - Chapter 1 lines & angles
![Page 1: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/1.jpg)
MATEMATIKTING. 3
GARIS DAN SUDUT II
Disediakan oleh:
EN. MOHAMAD SHUKRI ISMAILSMK DATO’ SRI AMAR DIRAJA MUAR
![Page 2: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/2.jpg)
Sifat-sifat sudut yang berkaitan dengan Rentasan Lintang dan Garisan Selari
Rentasan lintang (transversal) ialah satu garis lurus yang bersilang dengan dua atau lebih garisan lurus yang lain.
Contoh:
AB adalah rentasan lintang (transversal).
A
B
![Page 3: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/3.jpg)
Merujuk kepada rajah di atas, PQ adalah rentasan lintang. Apabila ia bersilang dengan dua garisan selari (parallel lines) RS dan TU, tiga jenis sudut akan terbentuk:
1. Sudut sepadan (corresponding angles):
2. Sudut selang-seli (alternate angles):
3. Sudut pedalaman (interior angles):
a dan b e dan f c dan d g dan h
b dan g e dan d
b dan e d dan g
![Page 4: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/4.jpg)
1. Sudut sepadan (corresponding angles):
Nilai sudut adalah sama
d
a c
be
f
g
h
a = b c = d e = f g = h
![Page 5: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/5.jpg)
1. Sudut sepadan (corresponding angles):
Nilai sudut adalah sama
g
h
g = h
TIPS:Huruf
F
![Page 6: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/6.jpg)
1. Sudut sepadan (corresponding angles):
Nilai sudut adalah sama
e
f
e = f
TIPS:Huruf
F
![Page 7: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/7.jpg)
1. Sudut sepadan (corresponding angles):
Nilai sudut adalah sama
c = d
TIPS:Huruf F
d
c
![Page 8: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/8.jpg)
1. Sudut sepadan (corresponding angles):
Nilai sudut adalah sama
a = b
TIPS:Huruf F
a
b
![Page 9: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/9.jpg)
2.Sudut selang-seli (alternate angles):
dbe g
e = d b = g
![Page 10: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/10.jpg)
2.Sudut selang-seli (alternate angles):
de
e = d
TIPS:Huruf
Z
![Page 11: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/11.jpg)
2.Sudut selang-seli (alternate angles):
bg
b = g
TIPS:Huruf
Z
![Page 12: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/12.jpg)
3. Sudut pedalaman (interior angles):
dbg
b + e = 180o
d + g = 180o
e
![Page 13: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/13.jpg)
3. Sudut pedalaman (interior angles):
dg
d + g = 180o
TIPS:Huruf
C
![Page 14: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/14.jpg)
3. Sudut pedalaman (interior angles):
b
b + e = 180o
e
TIPS:Huruf
C
![Page 15: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/15.jpg)
3. Sudut pedalaman (interior angles):
b + e = 180o
TIPS:Huruf C
be
![Page 16: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/16.jpg)
3. Sudut pedalaman (interior angles):
b + e = 180o
TIPS:Huruf
C
be
![Page 17: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/17.jpg)
Contoh soalan
Namakan rentasan lintang yang bersilang dengan dua garisan selariKL, MN dan PQ
![Page 18: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/18.jpg)
Contoh soalan
Senaraikan pasangan
b dan e
1. Sudut sepadan (corresponding angles).
![Page 19: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/19.jpg)
Contoh soalan
Senaraikan pasangan
c dan f
2. Sudut selang-seli (alternate angles).
![Page 20: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/20.jpg)
Contoh soalan
Senaraikan pasangan
a dan d
3. Sudut pedalaman (interior angles)
![Page 21: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/21.jpg)
Penyelesaian Masalah
Dalam rajah di atas, ABCD ialah satu garis lurus. Apakah nilai x?
x = 70°
![Page 22: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/22.jpg)
Latihan
Antara pernyataan berikut, yang manakah benar?A m = rB p = qC r + n = 180ºD r = q
1
![Page 23: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/23.jpg)
Latihan
Hitung nilai p dalam gambarajah
A 40º C 60ºB 50º D 80º
2
![Page 24: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/24.jpg)
Latihan
Hitung nilai x dalam gambarajah A 30ºB 50ºC 60ºD 80º
3
![Page 25: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/25.jpg)
Latihan
Hitung nilai m dalam gambarajah A 50ºB 60ºC 70ºD 80º
4
![Page 26: Chapter 1 lines & angles](https://reader031.vdocuments.pub/reader031/viewer/2022012315/55b52a09bb61eb35698b4653/html5/thumbnails/26.jpg)
Latihan
Hitung nilai x dalam gambarajah A 30ºB 60ºC 70ºD 80º
5