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16.Luas trapesium ABCD
cari tinggi trapesium
t² = 5² - ((16-8)/2)²
t² = 5² - 4²
t² = 25 - 16
t² = 9
t = √9
t = 3 cm
L = 1/2 x (jumlah sisi sejajar) x t
L = 1/2 x (16 + 8) x 3
L = 1/2 x 24 x 3
L = 12 x 3
L = 36 cm²
Luas trapesium KLMN
cari panjang KL
KL / AB = NM / DC
KL / 16 = 10/8
KL = 10/8 x 16
KL = 20 cm
cari tinggi
t / 3 = 10/8
t = 10/8 x 3
t = 3,75 cm
L = 1/2 x (20 + 10) x 3,75
L = 1/2 x 30 x 3,75
L = 15 x 3,75
L = 56,25 cm²
Luas daerah yang diarsir
L = 56,25 cm² - 36 cm² = 20,25 cm²
17.
ΔKLM kongruen dengan ΔPQR
maka
KM = RP
ML = PQ
KL = RQ
jawaban D
18.
∠ABC = ∠QPR
∠BCA = ∠PQR
∠BAC = ∠PRQ
jawaban D
19.
ABD kongruen dengan ABC
ACD kongruen dengan BDC
AED kongruen dengan BEC
jawaban B
20.
AC² = AB² + BC²
AC² = 16² + 12²
AC² = 256 + 144
AC² = 400
AC = √400
AC = 20 cm
AB² = AF x AC
16² = AF x 20
256 = AF x 20
AF = 256 / 20
AF = 12,8 cm
BC² = CF x AC
12² = CF x 20
144 = CF x 20
CF = 144 / 20
CF = 7,2 cm
AE = CF = 7,2 cm
EF = AF - AE
EF = 12,8 - 7,2
EF = 5,6 cm
Jawaban A