Final Answer:
Quadrilaterals A and B cannot be scaled copies as their side length ratios are inconsistent, violating the requirement for proportional sides in scaled figures.Thus the correct option is:b) No
Step-by-step explanation:
Quadrilateral A and Quadrilateral B cannot be scaled copies of each other. The key property for two figures to be scaled copies is that their corresponding angles must be equal, and their corresponding sides must be proportional.
In Quadrilateral A, the side lengths are 2, 3, 5, and 6. If we compare the ratios of the sides (2:3 and 5:6), we see that the ratios are not consistent. For example, the ratio of the first pair is 2:3, but the ratio of the second pair is 5:6. This lack of consistent ratio indicates that the sides are not proportional.
Similarly, in Quadrilateral B, the side lengths are 4, 5, 8, and 10. Again, if we compare the ratios of the sides, we find inconsistencies. The ratio of the first pair is 4:5, while the ratio of the second pair is 8:10. The lack of proportional sides in both quadrilaterals confirms that they cannot be scaled copies of each other.
In summary, the absence of consistent side length ratios in both Quadrilateral A and Quadrilateral B implies that they cannot be scaled copies, and thus the correct answer is b) No.Thus the correct option is:b) No