Example 1: Using the diagram below, describe the transformation that maps:

a) Shape P to shape Q.

b)Shape P to shape R.

c)Shape P to shape S.

d)Shape P to shape T.

Solution

a) Translation with vector \binom{-7}{-3}.

b)Enlargement, Scale factor =0.5 and centre of enlargement = (3,5)

c) Rotation, 180^0, centre of rotation is (0,0)

Example 2: Using the diagram below, describe the transformation that maps:

a) On the grid

i) draw the image of triangle P after a reflection in the line y=1.

ii) the image of triangle P after an enlargement by scale factor \frac{1}{2} with centre (5, 1)
b) Describe fully the single transformation that maps triangle P onto triangle Q.

Solution

b)Rotation,90^0 clockwise direction, centre of rotation is (2,4)