Question

In figure AD=CD and AB =CB
1) is triangle ABD equal triangle CBD? Why or why not?
2) does BD biscet angle ABC?give reason.

Answer 1

Answer:

1. Yes triangle ABD is equal to triangle CBD as its given with the lines..

2. Yes, it does bisect as it is going between angle ABC...

Hope it helped

Answer 2

Answer:

a) In triangles ABD and BCD,

AB=CB (Given)

AD=CD (Given)

BD is common in both triangles

therefore,

∆ABD is congruent to ∆BCD.

b) angle ABD= angle CBD (C.P.C.T)

or we can say that

BD bisects angle ABC