Short Answer 
To determine if two triangles are similar, first check if their corresponding angles are equal. If they are, then compare the ratios of their corresponding sides; if all these ratios are equal, the triangles are similar. If any angle or ratio does not match, the triangles are not similar.
Step 1: Identify Corresponding Angles
The first step in determining whether two triangles are similar is to check their corresponding angles. For two triangles to be similar, all pairs of corresponding angles must be equal. This means you need to systematically compare each angle in one triangle with the respective angle in the other triangle. If the angles are not equal, the triangles are not similar.
Step 2: Compare Ratios of Corresponding Sides
Once you have confirmed that the corresponding angles are equal, the next step is to examine the lengths of the corresponding sides. You need to find the ratios of these side lengths. Create a list to make this clear, noting down the ratios as follows:
- Ratio of side 1 from triangle A to side 1 from triangle B
- Ratio of side 2 from triangle A to side 2 from triangle B
- Ratio of side 3 from triangle A to side 3 from triangle B
Ensure that each of these ratios is consistent across the board; if they are proportional, then proceed to the next step.
Step 3: Conclude Similarity of Triangles
The final step involves verifying whether all the corresponding side ratios are equal. If all these ratios match, you can confidently conclude that the two triangles are similar. However, if any of the ratios differ, then the triangles are not similar. This logical process is crucial in geometry, especially when tackling problems involving similar figures.