in the mathematical sense, define similarity in simple terms

In the mathematical sense, similarity refers to the resemblance or likeness between two objects or shapes. This resemblance is based on their proportional relationships, such as corresponding sides and angles. When two objects or shapes are similar, they have the same shape but possibly different sizes.

For example, if two triangles have equal corresponding angles, the triangles are similar. This means that their corresponding sides are proportional to each other. Even though the triangles may have different lengths for their sides, the ratios between corresponding sides are equal.

In simple terms, similarity in mathematics means that two objects or shapes have the same shape but possibly different sizes, as long as their proportional relationships are maintained.