Final answer:
Triangle ABC has side lengths of 3 inches, 4 inches, and 6 inches. The similar triangles to Triangle ABC are those with side lengths that are proportional to Triangle ABC, while the dissimilar triangles have side lengths that are not proportional.
Step-by-step explanation:
Triangle ABC has side lengths of 3 inches, 4 inches, and 6 inches. To determine if other triangles are similar to Triangle ABC, we need to compare their side lengths.
- If a triangle has side lengths of 9 inches, 12 inches, and 18 inches, it is similar to Triangle ABC because all the side lengths are multiplied by the same scale factor of 3.
- If a triangle has side lengths of 2 inches, 5 inches, and 7 inches, it is not similar to Triangle ABC because none of the side lengths are proportional.
Therefore, we can sort the triangles as follows:
- Similar to Triangle ABC: Triangle with side lengths of 9 inches, 12 inches, and 18 inches.
- Not similar to Triangle ABC: Triangle with side lengths of 2 inches, 5 inches, and 7 inches.