10 Triangles A, B, C and D are drawn on a centimetre square grid (a) The perimeter of triangle A is (a +√ b) cm, where a and b are integers. Find a and b. (b) Triangle A is mapped onto triangle B by the translation T. Write down the column vector that represents T. (c) Describe fully the single transformation that maps triangle B onto triangle C. (d) Describe fully the single transformation that maps triangle B onto triangle D. (e) Write down the matrix that represents the transformation which maps triangle D onto triangle A. (f) The transformation V is a reflection in the line y = 0. The transformation W is a rotation 90° clockwise about (0, 0). The single transformation X is equivalent to the transformation V followed by the transformation W. (i) The point (g, h) is mapped onto the point P by the transformation X. Find the coordinates of P. (ii) Describe fully the single transformation X.