geometri datar : layang-layang (explanation, formula, question and answer, and excercise)
DESCRIPTION
This power point data was made to fulfill a task to do presentation about 'kite' in 'Pembelajaran Geometri Datar' subject at University of Balikpapan, Teaching and Education Faculty, Mathematic Education, 2012/2013.TRANSCRIPT
![Page 1: Geometri datar : Layang-layang (Explanation, formula, question and answer, and excercise)](https://reader035.vdocuments.mx/reader035/viewer/2022081421/55cf9b1e550346d033a4d259/html5/thumbnails/1.jpg)
Geometri Datar
Arranged By :
Khusnul khotimahSri FatmawatiClaudea E. Devi Rusdi A. Putra
Layang - Layang
F.K.I.P. Pendidikan MatematikaUniversitas Balikpapan [UNIBA]
2012
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Contain :
Definisi Sifat-sifat
Rumus Keliling Rumus Luas I
Rumus Luas II
Contoh Soal & Pembahasan
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“Layang - layang adalah bangun datar dua
dimensi yang terbentuk dari penggabungan dua segitiga sama kaki yang kongruen dan berimpit.”
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Contain :
Definisi Sifat-sifat
![Page 5: Geometri datar : Layang-layang (Explanation, formula, question and answer, and excercise)](https://reader035.vdocuments.mx/reader035/viewer/2022081421/55cf9b1e550346d033a4d259/html5/thumbnails/5.jpg)
A
B
C
D
*Sisi AB = BC
*Sisi AD = DC
Perhatikan Keempat Sisi Layang-layang
ABCD
Perhatikan Sumbu Simetri Layang-layang ABCD
*Garis BD dan Garis AC adalah Sumbu Simetri Layang-Layang ABCD
o
Perhatikan Simetri Lipat pada Layang-
layang ABCD
*Memiliki 1 Simetri Lipat
Perhatikan Segi Tiga-Segi Tiga yg Membentuk Layang-layang
*Segi Tiga AOD = Segi Tiga COD
*Segi Tiga AOB = Segi Tiga BOC
Sifat Layang-layang :
*Tidak Memiliki Simetri Putar
*Memiliki 4 titik sudut
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Contain :
Definisi Sifat-sifat
Rumus Keliling
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Keterangan : AB + BC + CD + AD merupakan keempat sisi layang-layangRumus Keliling: AB + BC + CD + AD
Keliling layang-layang :
Dapat pula ditulis :=2 x rusuk pendek + 2 x rusuk panjang
=2 (r.pendek + r.panjang)
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Contain :
Definisi Sifat-sifat
Rumus Keliling Rumus Luas I
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1) Luas Layang-layang :
1. Gambar dua buah layang-layang yang kongruen dengan alas dan tinggi sembarang !
2. Hitung jumlah petak pada layang-layang B=A tersebut!
3. Potong layang-layang A menurut kedua garis diagonal!
4. Gabungkan potongan tersebut ke layang-layang B sehingga terbentuk persegi panjang !
5. Dua bangun layang-layang kongruen sudah berubah menjadi satu ……………persegi panjang,
Diagonal “b” 4 satuan
Diagonal “a” 5 satuan
(A) (B)
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6. Diagonal “a” layang-layang menjadi sisi …………. persegi panjang dan diagonal “b” layang-layang menjadi sisi ………. persegi panjang
7. Maka rumus Luas layang-layang dapat diturunkan dari rumus Luas …….……….….
8. Karena rumus Luas persegi panjang = …………, maka :
Diagonal “b” 4 satuan
Diagonal “a” 5 satuan
(A) (B)panjang
lebar
persegi panjang
9. Rumus Luas dua layang-layang =
…………….. X ……………
Jadi, rumus luas layang-layang =
p x l
Diagonal ‘a’ diagonal ‘b’½ x diagonal ‘a’ x diagonal ‘b’
Kesimpulan :
1) Luas Layang-layang :
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Contain :
Definisi Sifat-sifat
Rumus Keliling Rumus Luas I
Rumus Luas II
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= L segitiga sama kaki 1 + L segitia sama kaki 2
=(1/2 x alas x tinggi 1)+(1/2 x alas x tinggi 2)
=1/2 x alas x (tinggi 1 + tinggi 2)
*d2 = alas dan d1 = tinggi 1 + tinggi 2
=1/2 x d1 x d2
2) Luas Layang-layang :
![Page 13: Geometri datar : Layang-layang (Explanation, formula, question and answer, and excercise)](https://reader035.vdocuments.mx/reader035/viewer/2022081421/55cf9b1e550346d033a4d259/html5/thumbnails/13.jpg)
Contain :
Definisi Sifat-sifat
Rumus Keliling Rumus Luas I
Rumus Luas II
Contoh Soal & Pembahasan
![Page 14: Geometri datar : Layang-layang (Explanation, formula, question and answer, and excercise)](https://reader035.vdocuments.mx/reader035/viewer/2022081421/55cf9b1e550346d033a4d259/html5/thumbnails/14.jpg)
1. Suatu layang-layang ABCD memiliki keliling = 84 cm dengan panjang sisi AB = 18 cm dan CD = 2x + 2. Tentukan panjang sisi AD!
2. Sebuah layang - layang mempunyai luas = 90 cm² dan diketahui panjang salah satu diagonalnya = 15 cm. Berapa panjang diagonal lainnya?
Contoh Soal :
24 cm
12 cm
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Well done, everyone
As we’re done learning
about Kite,
How about playing Kite together
Bye-bye