Question

Given: AD bisects angle A.
Prove: ADB = ADC

Help immediately please.

Answer 1

Given: AD bisects ∠A

prove: ΔABB ≅ Δ ADC

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statements : Reason:

1) AD bisects ∠A 1- Given

2)∠CAD ≅ ∠BAD 2- Definition of bisector.

3) AD ≅ AD 3- Reflexive property of congruence.

4) ∠CDA ≅∠BDA 4- Right angle( from figure).

5) ΔADB ≅ Δ ADC 5- ASA

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