Answer:
Please find attached the required flow chart proof created using Microsoft Visio
Explanation:
The given parameters are;
bisects ∠ADC and ∠ABC
Required to proof that ΔABD ≅ ΔCBD
The two column proof is given as follows;
Statement
Reason
bisects ∠ADC
Given
∠ADB ≅ ∠CDB
Definition of angle bisector
bisects ∠ABC
Given
∠ABD ≅ ∠CBD
Definition of angle bisector
≅
Reflexive Property
ΔABD ≅ ΔCDB
ASA
The Angle-Side-Angle ASA, ASA, congruency postulate, states that if two angles and the included side of one triangle is congruent to two angles and the included side of another triangle, then the two angles are congruent.