Get premium membership and access revision papers with marking schemes, video lessons and live classes.
The figure on the grid shows a triangular shaped object ABC and its image A’B’C’
a) (i) Describe fully the transformation that maps ABC onto A’B’C’. (ii) Find a 2 x 2 matrix that transforms triangle ABC onto triangle A’B’C’.
b) The matrix P = #(( 2,1),(1, 1))# transforms triangle ABC onto A”B”C”. (i) Find the coordinates of A”, B” and C”. (ii) Draw the image A”B”C”.
c) Find the area of triangle ABC.
d) Hence find the area of the image A”B”C”.