Question

See the given figure, BD bisects angle ABC and angle ADC. Is triangle BAD congruent to triangle BCD? If so, give reasons.

Answer 1

Therefore the two triangles are congruent.Hope this helps you.

Answer 2

Yes,  Δ BAD ≅ Δ BCD ….{ Angle-Side-Angle test }

Step-by-step explanation:

In  Δ BAD and Δ  BCD

∠ ABD ≅ ∠ CBD    ....……….{ BD bisect angle ABC}

     BD ≅ BD          ..............{ Common Side }

∠ ADB ≅ ∠ CDB    …………..{ BD bisect angle ADC}

Δ BAD ≅ Δ BCD ….{Angle-Side-Angle test}