Kunci LKS hal 46 - 47

Kunci LKS hal 46 lat 3.2      

                                  

1. Diketahui : t = 160 cm ; s = 60 cm
    Ditanya : a. t'
                  b. s'
                  c. s + s'
    Jawab : a. t' = t = 160 cm
                b. s' = s = 60 cm
                c. s + s' = 60 + 60 = 120 cm

2. diketahui : A(5, 2) ; refleksi sb.x atau y = 0 (k = 0)
    ditanya : A'(x', y')
    jawab : x = 5, y = 2
                x' = x = 5
                y' = 2k - y = 2 x 0 - 2 = 0 - 2 = -2
                A'(5, -2)
3.  diketahui : A(-3, 2) ; refleksi sb.y atau x = 0 (h = 0)
    ditanya : A'(x', y')
    jawab : x = -3, y = 2
                x' = 2h - x = 2 x 0 - (-3) = 0 + 3 = 3
                y' =  y = 2
                A'(3, 2)
4. diketahui : A(2, 5) ; refleksi x = y
    ditanya : A'(x', y')
    jawab : x = 2, y = 5
                x' = y = 5
                y' = x = 2
                A'(5, 2)
5. diketahui : A(2, -5) ; refleksi y = -x
    ditanya : A'(x', y')
    jawab : x = 2, y = -5
                x' = -y = -(-5) = 5
                y' = -x = -2
                A'(5, -2)
6. diketahui : A(-2, 5) ; refleksi x = y
    ditanya : A'(x', y')
    jawab : x = -2, y = 5
                x' = y = 5
                y' = x = -2
                A'(5, -2)
7. diketahui : K(4, 3) ; refleksi x = 6 dilanjutkan y = -1
    ditanya : A''(x'', y'')
    jawab : x = 4, y = 3
                refleksi x = 6
                x' = 2 x 6 - x = 12 - 4 = 8
                y' = y = 3
                refleksi y = -1
                x'' = x' = 8
                y'' = 2 x (-1) - y' = -2 - 3 = -5
                A''(8, -5)
8. diketahui : K'(2, -4) ; refleksi y = -2
    ditanya : A(x, y)
    jawab : x' = 2, y' =-4
                x = x' = 2
                y = 2 x (-2) - y' = -4 - (-4) = 0
                A(2, 0)
9. diketahui : A(7, 6) ; refleksi x = y
    ditanya : A'(a, b)
    jawab : x = 2, y = 5
                a = y = 6
                b = x = 7
                A'(6, 7)
10. diketahui : A(3, -1) ; B(6, -1) ; C(3, 3) refleksi y = -x
    ditanya : A', B' dan C'
    jawab : A'(x', y')
                 x = 3, y = -1
                x' = -y = -(-1) = 1
                y' = -x = -3
                A'(1, -3)

                B'(x', y')
                 x = 6, y = -1
                x' = -y = -(-1) = 1
                y' = -x = -6
                B'(1, -6)
             
                 C'(x', y')
                 x = 3, y = 3
                x' = -y = -3
                y' = -x = -3
                C'(-3, -3)

Kunci LKS hal 48 latihan 3.3

1. diketahui : A(8, 1) ; B(10, 5) ; pusat rotasi O(0,0)

    ditanya : a. A', B'  dengan sudut 90°

                 b. A', B'  dengan sudut -90°

    jawab : a. A'(x', y')                                 B'(x', y')                           
                    x' = -y = -1 ; y' = x = 8          x' = -y = -5 ; y' = x = 10    
                    A' (-1, 8)                               B' (-5, 10)
            
                b. A'(x', y')                                 B'(x', y')                           
                    x' = y = 1 ; y' = -x = -8          x' = y = 5 ; y' = -x = -10    
                    A' (1, -8)                               B' (5, -10)



2.  diketahui : A(7, 0) ; B(7, -3) ; C(2, 0) pusat rotasi O(0,0)

    ditanya : a. A', B' dan C'  dengan sudut 90°

                 b. A', B' dan C' dengan sudut -90°

    jawab : a. A'(x', y')                                         B'(x', y')                                  
                    x' = -y = -0 = 0 ; y' = x = 7            x' = -y = -(-3) = 3 ; y' = x = 7    
                    A' (0, 7)                                         B' (3, 7)                                   
                
                    C'(x', y')
                    x' = -y = -0 = 0 ; y' = x = 2
                    C' (0, 2)
           
                b. A'(x', y')                                          B'(x', y')                                
                    x' = y = 0 ; y' = -x = -7                    x' = y = -3 ; y' = -x = -7    
                    A' (0, -7)                                         B' (-3, -7)                          

                    C'(x', y')
                    x' = y = 0 ; y' = -x = -2
                    C' (0, -2)