TRANSFORMASI GEOMETRI
Dilatasi [O , k]
Pusat dilatasi O(0,0)
Faktor skala k
k = 1/3
A' = 1/3 A = 1/3 (-9,-9) = (-3,-3)
C' = 1/3 C = 1/3 (-6,3) = (-2,1)
B' = 1/3 B = 1/3 (-6,9) = (-2,3)
D' = 1/3 D = 1/3 (-9,-3) = (-3,-1)
A' = (-3,-3)
Luas bayangan segi empat ABCD
= 1/2 ((XaYc - YaXc + XcYb - YcXb + XbYd - YbXd + XdYa - YdXa)
= 1/2 ((-3 - 6) + (-6 - (-2)) + (2 - (-9)) + (9 - 3))
= 1/2 (-9 - 4 + 11 + 6)
= 1/2 × 4
= 2 satuan luas
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TRANSFORMASI GEOMETRI
Dilatasi [O , k]
Pusat dilatasi O(0,0)
Faktor skala k
k = 1/3
A' = 1/3 A = 1/3 (-9,-9) = (-3,-3)
C' = 1/3 C = 1/3 (-6,3) = (-2,1)
B' = 1/3 B = 1/3 (-6,9) = (-2,3)
D' = 1/3 D = 1/3 (-9,-3) = (-3,-1)
A' = (-3,-3)
Luas bayangan segi empat ABCD
= 1/2 ((XaYc - YaXc + XcYb - YcXb + XbYd - YbXd + XdYa - YdXa)
= 1/2 ((-3 - 6) + (-6 - (-2)) + (2 - (-9)) + (9 - 3))
= 1/2 (-9 - 4 + 11 + 6)
= 1/2 × 4
= 2 satuan luas