Final answer:
Triangle CAB is similar to Triangle HJI, as the side length ratios of both triangles are the same.
Step-by-step explanation:
The student has asked which triangle is similar to Triangle CAB given the sides of two triangles. In Triangle CAB, the lengths of the sides are AB = 3, BC = 7, CA = 9. For Triangle GHJ, the sides are GH = 0.6, HJ = 1.4, JG = 1.8. To find which triangles are similar, we look for triangles that have the same side ratios.
Comparing sides, we get the ratios AB/BC = 3/7 and GH/HJ = 0.6/1.4. Simplifying these, we find that both ratios simplify to 3/7. Next, comparing BC/CA = 7/9 with HJ/JG = 1.4/1.8, we simplify these to get 7/9 for both. Finally, comparing CA/AB = 9/3 with JG/GH = 1.8/0.6, we find these ratios simplify to 3/1 for both triangles.
Since all corresponding sides of Triangle CAB and Triangle GHJ have the same ratios, the triangles are similar. Therefore, the correct answer is Triangle HJI, which corresponds to option A.