If two triangles have proportional sides are they automatically similiar?

Question

If two triangles have corresponding proportional side lengths are they automatically similiar?

Answer 1

hello Nick,

 

If the measures of the corresponding sides of two triangles are proportional then the triangles are similar.

 

Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.