question_answer

If in two similar triangles ABC and DEF, \[\frac{AB}{DE}=\frac{BC}{EF},\] then:

A) \[\angle B=\angle E\]

B) \[\angle A=\angle E\]

C) \[\angle B=\angle D\]

D) \[\angle A=\angle F\]

Correct Answer: A

Solution :

Sol. [a] We have, \[\Delta ABC\tilde{\ }\Delta DEF\]

Also.          \[\frac{AB}{DE}=\frac{BC}{EF}\]    (Given)

By SAS similarly criterion, \[\angle B=\angle E\]