Next Rotation Point Q(-1, 4) rotated like hand of clock towards center point O, Determine the shadow point of Q by rotation (O, 450) Answer: = - 450 x’ = x cos y sin = -1 Cos (- 450) – 4 sin (- 450) = - ½ (- ½ ) = - ½ = y’ = x sin y cos = -1 Sin(-450) + 4 Cos(-450) = -1(-½ ) ½ = ½ = 5/2 ( Then Q’ (3/, 5/ ) Hal.: 8 Isi dengan Judul Halaman TerkaitĤ. See picture 4 At the rotation towards center point O(0,0) as big as radian with the positive direction then point P(x,y) become P’(x’,y’) that can be stated as: Y P’(x’,y’) P(x,y) x’ = x cos y sin y’ = x sin y cos X Hal.: 7 Isi dengan Judul Halaman Terkait Rotation Rotation is a transformation that moves every points on the flat shape by rotating very points and it is determined by: Angle size of rotation Center point of rotation Angle direction of rotation.

P’(4,1) X Hal.: 6 Isi dengan Judul Halaman Terkaitģ. y = b HAL 9 Hal.: 5 Isi dengan Judul Halaman TerkaitĮxample of Reflection: Determine point shadow P (2, 1) if reflected towards: a. x = a P (x, y) P’(2a – x, y) 2.2 Reflection towards line y = b A point P(x, y) reflected towards line y= b, can be written: P (x, y) P’(2a – x, y) M. Reflection 2.1 Pencerminan terhadap garis x = a 2.1 Reflection towards line x = a A point P(x, y) reflected towards line x = a, can be written: M. 4 3 Answer: Q(1, 1) Q’=(1 + 4, 1 + 3) Q’=( 5, 4) See picture 2 P’(5,4) P(1,1) Picture 2 HAL 8 Hal.: 4 Isi dengan Judul Halaman Terkaitĥ Geometry Transformation Isi dengan Judul Halaman TerkaitĢ. Translation Transformation translation of a point P(x,y) is by moving as far as a unit at axis x and b unit at axis y that notated by T = then become a point P’(x’, y’) and: x’ = x + a y’ = y + b See picture 1 P(x’,y’) P(x,y) x y Picture 1 HAL 6 Hal.: 3 Isi dengan Judul Halaman TerkaitĮxample of translation: Given that translation T = and point Q ( 1, 1), then Find the point coordinate Q’. Hal.: 2 Isi dengan Judul Halaman Terkaitġ. Presentation on theme: 'GEOMETRY ANGLE AND PLANE.'- Presentation transcript:Īngle and Plane Standard Competence Determining line position and angle size that involves point, line and plane in two dimensions Base Competence: 3.