1. The problem asks to find the scale factor of the enlargement from shape A to shape B. 2. The scale factor is the ratio of any corresponding lengths in shape B to shape A. 3. For the first pair of triangles: - Triangle A base = 2 units, height = 4 units - Triangle B base = 6 units, height = 12 units 4. Calculate scale factor using base lengths: $$\text{Scale factor} = \frac{6}{2} = 3$$ 5. Calculate scale factor using height lengths: $$\text{Scale factor} = \frac{12}{4} = 3$$ 6. Both calculations agree, so the scale factor for the triangles is 3. 7. For the second pair of L-shapes: - Shape A height = 3 units, width = 2 units - Shape B height = 6 units, width = 4 units 8. Calculate scale factor using height: $$\text{Scale factor} = \frac{6}{3} = 2$$ 9. Calculate scale factor using width: $$\text{Scale factor} = \frac{4}{2} = 2$$ 10. Both calculations agree, so the scale factor for the L-shapes is 2. Final answers: - Scale factor from triangle A to B is 3. - Scale factor from L-shape A to B is 2.