Question:
Is it true to say that, if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to
the two sides of the other triangle, then the triangles are similar? Give reason for your answer.
Solution:
False
Because, according to SAS similarity criterion, if one angle of a triangle is equal to one angle of the other triangle and the sides including these
angles are proportional, then the two triangles are similar.
Here, one angle and two sides of two triangles are equal but these sides not including equal angle, so given statement is not correct.