Explain what you are looking for with the sides and the angles. Do you want both shapes to have the same sides/angles, different sides/angles, corresponding sides/angles, etc)

Answer 1

To provide a clear and effective explanation, it would be helpful to clarify the context of your question. Here are a few possible interpretations:

1. Congruent Shapes: If you are looking for shapes that have the same sides and angles, you want congruent shapes. In this case, all corresponding sides and angles must be equal.

2. Similar Shapes: If you are interested in shapes that have corresponding angles that are equal, while the sides may be different, you are looking for similar shapes. These shapes maintain the same shape but can differ in size, following a consistent ratio.

3. Different Shapes: If you're looking for shapes that have completely different sides and angles, then you want to explore non-congruent and non-similar shapes. This might apply in cases where you want to study the properties of various geometric figures without regard to any relationships between them.

4. Specific Relationships: If you are interested in specific relationships, such as whether two triangles could be related through the Side-Angle-Side (SAS) similarity or congruence criteria, then you would be looking for particular arrangements of sides and angles that meet those criteria.

If you could clarify which aspect you're focusing on (congruence, similarity, or something else), I can provide a more tailored explanation!