Question

29)In the figure, AB = AC and BD = DC. and AD is the bisector of L A Prove That A)lsA ABD = AACD B) Is LADB = 90 ? C) Is D the mid point of BC ?​

Answer 1

A)

In triangles ABD and ACD,

AB = AC (Given)

BD = DC (Given)

AD = AD (Common)

therefore, By SSS congruence, triangles ABD and ACD are congruent triangles

B) Yes

C) Yes, since BC = BD+ DC

which implies, BD = DC (since ABD and ACD are congruent triangles )

(solved)