1. The problem asks to find the scale factor of enlargement from shape P to shape Q, from shape A to shape B, and from shape R to shape T, and also to find the missing term in the arithmetic sequence 12, ___, 26. 2. The scale factor of enlargement is the ratio of any corresponding lengths in the enlarged shape to the original shape. For polygons, this can be found by comparing side lengths or other linear measurements. 3. For shapes P and Q: Since the exact coordinates are not given, we rely on the description that Q is larger and similar to P. The scale factor is the ratio of a side length of Q to the corresponding side length of P. 4. For shapes A and B: Shape A covers about 2x2 squares, and shape B covers about 4x4 squares. The side length of B is twice that of A, so the scale factor is $$\text{scale factor} = \frac{4}{2} = 2$$ 5. For shapes R and T: The smaller triangle R has base and height 2, and the larger triangle T has base and height 6. The scale factor is the ratio of corresponding sides: $$\text{scale factor} = \frac{6}{2} = 3$$ 6. For the arithmetic sequence 12, ___, 26: The terms increase by the same amount each time. Let the missing term be $x$. The difference between terms is constant, so: $$x - 12 = 26 - x$$ Solving for $x$: $$2x = 12 + 26$$ $$2x = 38$$ $$x = 19$$ 7. Final answers: - Scale factor from P to Q: Not numerically specified due to lack of exact data. - Scale factor from A to B: 2 - Scale factor from R to T: 3 - Missing term in sequence: 19