Subjects geometry

Centre Enlargement 23541F

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1. **State the problem:** We need to find the coordinates of the centre of enlargement that maps shape A onto shape B. 2. **Understanding centre of enlargement:** The centre of enlargement is the point from which all points of the original shape (A) are scaled to produce the enlarged shape (B). Lines drawn from this centre through corresponding vertices of shapes A and B will intersect at this point. 3. **Given information:** - Shape A vertices approximately at (9,4), (10,7), (11,4) - Shape B vertices approximately at (2,3), (4,9), (6,3) - Dotted lines from vertices of A to B intersect at the centre of enlargement. 4. **Finding the centre:** The intersection of the lines drawn through corresponding vertices of A and B is the centre of enlargement. 5. **From the graph description, the intersection point is approximately at** $$ (15,5) $$ 6. **Therefore, the coordinates of the centre of enlargement are** $$ \boxed{(15,5)} $$ This point is the fixed point from which shape A is scaled to become shape B.