Question

2. 4ABC is isosceles with AB = AC (Fig. 9.20).
Line segment AD bisects LA and meets the base BC at D. Find the third pair of
corresponding parts which make AADB AADC by SAS congruence condition.
Is it true to say that BD = CD? Why?
congru
e comm
isecs
B
C
biser
Fig. 9.20
A
BILDC and AB = DC.​

Answer 1

Yes.

In ΔABC and ΔDBCAB=DB (Given)AC=DC (Given)BC=BC (Common)By SSS criterion of congruency, ΔABC≅ΔDBC

No, ∠ABD and∠ACD are not equal

because AB ≠ AC.