Question

1. Triangle A(−4, 1),B(−2, 2) and C(−3,3) is mapped onto A^lB^lC^l by enlargement scale factor −1 centre (0,3). On the grid provided draw the triangle ABC and its image A^lB^lC^l. State the co-ordinates of A^lB^lC^l 
2. Triangle A^lB^lC^l is mapped onto A^llB^llC^ll by reflection on the line x + y =0, Draw the image  A^llB^llC^ll  and state its co-ordinates  
3. Find the matrix of transformation which maps triangle A^llB^llC^ll onto ∆ABC

Answer 1

1. 
   
2. A^ll(−5,−4), B^ll(−4,−2), C^ll(−3,−3)
3.  
   
   −5a−4b=−4    −5c−4d=1
   −4a−2b=−2    −4c−2d=2
     5a+4b=4       −5c−4d=1
     8a+4b=4       −8c−4d=4
         a=0             3c = −3
         b=1               c=−1
                               d=1