Question

In the adjoining figure,
a . Is triangle ABC =~ Triangle DBC?
b. Does BC bisect angl ABD and angle ACD? Given reasons for your answer
c. Is angel A = angel D? Why?​

Answer 1

Step-by-step explanation:

Ans. In quadrilateral ABCD we have

AC = AD

and AB being the bisector of ∠A.

Now, in ΔABC and ΔABD,

AC = AD

[Given]

AB = AB

[Common]

∠CAB = ∠DAB [∴ AB bisects ∠CAD]

∴ Using SAS criteria, we have

ΔABC ≌ ΔABD.

∴ Corresponding parts of congruent triangles (c.p.c.t) are equal.

∴ BC = BD.