1. In quadrilateral , and bisects (see Fig.). Show that . What can you say about and ?
In the given triangles we are given that:-
(i)
(ii) Further, it is given that AB bisects angle A. Thus BAC BAD.
(iii) Side AB is common in both the triangles.
Hence by SAS congruence, we can say that :
By c.p.c.t. (corresponding parts of congruent triangles are equal) we can say that