Question

what are conditions for two triangles to be similar

Answer 1

Here is the answer to your query.

The criterion for two triangles to be similar are

(i) AA similarity criterion: If two angles of one triangle are correspondingly equal to two angles of another triangle, then the two triangles are similar.

(ii) SSS similarity criterion: If the corresponding sides of two triangles are proportional, then they are similar.

(iii) SAS similarity criterion: If in two triangles, one pair of corresponding sides are proportional and the included angles are equal, then two triangles are similar.