Page 15 - E-MODUL TRANSFORMASI GEOMETRI

TRANSFORMASI GEOMETRI

LEMBAR KERJA SISWA
Kerjakan soal – soal di bawah ini dengan jelas dan benar !

−1 
1. Tentukan koordinat bayangan dari titik – titik berikut oleh translasi T =   !


 3 
a. A(2,4) = ......................................................................................................................
b. B(-2,7)=......................................................................................................................
c. C(-3,-4)= ....................................................................................................................
−  2
2. Bayangan titik A(x,y) oleh translasi T =   adalah titik A’ (4,- 5)!

 − 7 
a. Tentukan koordinat titik A ! .....................................................................................
  3
b. Tentukan bayangan titik A oleh translasi T =  


 5 
...................................................................................................................................
...................................................................................................................................
...................................................................................................................................
3. Tentukan persamaan bayangan kurva berikut !
a. 2x – 3y + 4 = 0
...................................................................................................................................
2
b. y = x + 2x – 3
...................................................................................................................................

  a
4. Diketahui translasi T =   memetakan titik B (5, - 2) ke titik (6,1). Tentukan :


 b 
a. Nilai a dan b !
...................................................................................................................................
2
b. Tentukan bayangan parabola y = x – 2x + 1 !
...................................................................................................................................

5. Tentukan koordinat titik bayangan pencerminan – pencerminan berikut !
a. Titik A(-4, 3) dicerminkan terhadap sumbu X
...................................................................................................................................
...................................................................................................................................
b. Titik B (2, - 3) dicerminkan terhadap garis y = - x
...................................................................................................................................
6. Tentukan bayangan garis berikut oleh pencerminan yang diberikan !
a. Garis y = 2x + 5 dicerminkan terhadap garis y = -x
...................................................................................................................................
...................................................................................................................................
b. Garis 2x – y + 5 =0 dicerminkan terhadap titik (2,-3)
...................................................................................................................................
...................................................................................................................................

Matematika Wajib / XI.1 15
SMA Nusaputera