Shape A is drawn on the grid below - OCR - GCSE Maths - Question 9 - 2017 - Paper 1

To enlarge shape A, we need to multiply each coordinate of the shape by the scale factor, which is 3 in this case. The original coordinates of the vertices of shape A need to be identified first. Based on the provided grid, let's assume the vertices of shape A are at the points: (2, 2), (3, 2), (3, 3), (2, 3).

Using the formula for enlargement: $ext{New Coordinate} = ext{Scale Factor} imes ( ext{Original Coordinate} - ext{Centre of Enlargement}) + ext{Centre of Enlargement}$

The centre of enlargement is (0, 0), thus for each vertex we calculate:

1. For (2, 2): $ext{New Coordinate} = 3 imes (2 - 0, 2 - 0) + (0, 0) = (6, 6)$
2. For (3, 2): $ext{New Coordinate} = 3 imes (3 - 0, 2 - 0) + (0, 0) = (9, 6)$
3. For (3, 3): $ext{New Coordinate} = 3 imes (3 - 0, 3 - 0) + (0, 0) = (9, 9)$
4. For (2, 3): $ext{New Coordinate} = 3 imes (2 - 0, 3 - 0) + (0, 0) = (6, 9)$

So the new coordinates after enlargement are (6, 6), (9, 6), (9, 9), and (6, 9).