question_answer

In triangles ABC and DEF, \[\angle B=\angle E,\] \[\angle F=\angle C\] and \[AB=3DE.\]Then, the two triangles are: (NCERT EXEMPLAR)

A) congruent but not similar

B) similar but not congruent

C) neither congruent nor similar

D) congruent as well as similar.

Correct Answer: B

Solution :

[b] In \[\Delta ABC\] and \[\Delta DEF,\] \[\angle B=\angle E,\]\[\angle F=\angle C\]and \[AB=3DE\]We know that, if in two triangles corresponding two angles are same, then they are similar by AA similarity crieterion.

Since, \[AB\ne DE\]

Therefore \[\Delta ABC\] and \[\Delta DEF\] are not congruent.