Triangles A, B, C and D are drawn on a centimetre square grid. [Figure 10.1]

1. (a)The perimeter of triangle A is (a + √b) cm, where a and b are integers. Find a and b.[2]
2. (b)Triangle A is mapped onto triangle B by the translation T. Write down the column vector that represents T.[1]
3. (c)Describe fully the single transformation that maps triangle B onto triangle C.[2]
4. (d)Describe fully the single transformation that maps triangle B onto triangle D.[3]
5. (e)Write down the matrix that represents the transformation which maps triangle D onto triangle A.[1]
6. (f)(i)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. The point (g, h) is mapped onto the point P by the transformation X. Find the coordinates of P.[1]
7. (f)(ii)Describe fully the single transformation X.[2]

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