ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (Fig. 6.48).
(a) State three pairs of equal parts in the triangles ABD and ACD.
(b) Is ΔABD ≅ ΔACD? If so why?

(a) AB = AC, BD = CD, AD = AD
(b) Yes, by SSS criterion
All three corresponding sides equal, hence congruent by SSS.