Transformasi Geometri
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Easy
samuel aprianus
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8 questions
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1.
FILL IN THE BLANK QUESTION
5 mins • 13 pts
Answer explanation
Solusi :
𝑃(−4,5) 𝒚 =−𝒙
↔ P′ = (−y, −x) garis x = 2
↔ P′′ (2ℎ − 𝑥, 𝑦)
𝑃(−4,5) 𝒚 = −𝒙
↔ P′(−5, −(−4))
P′(−5,4) → 𝐾𝑢𝑎𝑑𝑟𝑎𝑛 𝐼𝐼
P′(−5,4) garis x = 2
↔ P′′(2. (2) − (−5), 4)
P′′(4 − (−5), 4)
P′′(4 + 5,4)
P′′ (9,4) → 𝐾𝑢𝑎𝑑𝑟𝑎𝑛 𝐼
Jadi, bayangan titik P(-4, 5) oleh refleksi terhadap garis y = -x dilanjutkan dengan
refleksi terhadap garis x = 2 adalah P′′(9,4)
2.
FILL IN THE BLANK QUESTION
5 mins • 13 pts
Answer explanation
Solusi :
(2h – x, y) = (x’, y’)
(2(4) – x, y) = (x’, y’)
(8 – x, y) = (x’, y’)
8 – x = x’ ⇒ x = 8 – x’
y = y’
Substitusikan ke
y = 3x + 7
y’ = 3(8 – x’) + 7
y’ = 24 – 3x’ + 7
y’ = 31 – 3x’
y' = -3x' + 31
Jadi bayangan dari garis y = 3x + 7 adalah garis y’ = -3x' + 31
3.
FILL IN THE BLANK QUESTION
5 mins • 9 pts
Answer explanation
Solusi:
(3, -13) = (x, y) + (-10, 7)
(x,y) = (3, -13) - (-10, 7)
(x,y) = (13, -20)
Jadi, koordinat titik P adalah (13, -20)
4.
FILL IN THE BLANK QUESTION
5 mins • 13 pts
5.
OPEN ENDED QUESTION
5 mins • 13 pts
Tentukan bayangan trapesium WXYZ dengan koordinat
W (-4,2), X (-3,4), Y (-1,4) dan Z (-1,2)
pada rotasi 1800 dengan pusat rotasi O (0,0)!
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Answer explanation
6.
OPEN ENDED QUESTION
5 mins • 13 pts
Tentukan bayangan segitiga JKL dengan koordinat
J (1,2), K(4,2) dan L (1,-3) pada rotasi 900
Berlawanan jarum jam dengan pusat rotasi adalah titik L.
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Answer explanation
7.
OPEN ENDED QUESTION
5 mins • 13 pts
Evaluate responses using AI:
OFF
Answer explanation
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