Bantu Dong Brainy Jawab dong Jangan di liatin doang
Transformasi Geometri
2. Titik B(-2,6) direfleksikan terhadap:
a.Garis y=-x
B(-2,6)=>{y=-x}=>B'{-6, 2}
cara:
A(x,y)=>{y=-x}=>A'(-y,-x)
b.Titik O(0,0)
B(-2,6)=>{Titik O}=>B'{2,-6}
cara:
B(x,y)=>{titik 0}=>B'{-x,-y}
3.Tentukan bayangan titik C(-5,-3)
ditranslasikan (6 -4) dan => (-4 7)
C(-5,-3)=>(6 -4)=>(-5+6, -3+-3)=C'{1,-6}
C'(1,-6)=>(-4,7)=>C"(1+(-4),7+(-6))=>C"(-3,1)
4.Bayangan R(-3,8) dirotasi O (0,0)
a.90 ° searah jarum jam
Sudut alpa=-90°
x'= x cos alpha – y sin alpha
= -3 cos (-90°) – 8 sin (-90°)
= -3(0) -8(-1)
=0+8
=8
y'= x sin alpha + y cos alpha
= -3 sin (-90°) + 8 cos (-90°)
= -3 (-1) + 8 (0)
= 3 + 0
= 3
R'(8,3)
b.180° searah jarum jam
sudut alpha=-180°
x'= x cos alpha – y sin alpha
= -3 cos (-180°) – 8 sin (-180°)
= -3 (-1) – 8 ( 0)
= 3
y'=x sin alpha + y cos alpha
=-3 sin(-180°) + 8 cos (-180)
=-3(0) + 8 (-1)
=0 -8
=-8
Demikian semoga membantu dan bermanfaat!