Penjelasan dengan langkah-langkah:
M(-1, 10) → T(5, 9) → M'(-1+5, 10+9)
M'(4, 19)
M'(4, 19) → Garis y = -2 → M"(4, 2·(-2) - 19)
M"(4, -4 - 19)
M"(4, -23)
TRANSFORMASI GEOMETRI
awal ⇢ translasi T(a,b) ⇢ refleksi terhadap garis y = k
M(x,y) ⇢ M' = M + T ⇢ M"(x' , 2k - y')
M(-1,10)
•
M' = M + T
M' = (-1,10) + (5,9)
M' = (-1 + 5 , 10 + 9)
M' = (4 , 19)
M"(x" , y")
x" = x' = 4
garis y = k = -2
y" = 2k - y'
y" = 2(-2) - 19
y" = -4 - 19
y" = -23
Koordinat akhir M ⇢ M''(4 , -23)
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Verified answer
Penjelasan dengan langkah-langkah:
M(-1, 10) → T(5, 9) → M'(-1+5, 10+9)
M'(4, 19)
M'(4, 19) → Garis y = -2 → M"(4, 2·(-2) - 19)
M"(4, -4 - 19)
M"(4, -23)
TRANSFORMASI GEOMETRI
awal ⇢ translasi T(a,b) ⇢ refleksi terhadap garis y = k
M(x,y) ⇢ M' = M + T ⇢ M"(x' , 2k - y')
M(-1,10)
•
M' = M + T
M' = (-1,10) + (5,9)
M' = (-1 + 5 , 10 + 9)
M' = (4 , 19)
•
M"(x" , y")
x" = x' = 4
garis y = k = -2
y" = 2k - y'
y" = 2(-2) - 19
y" = -4 - 19
y" = -23
Koordinat akhir M ⇢ M''(4 , -23)